Method and apparatus for generating and implementing spectrally-efficient orthogonal codes for wireless communications

Abstract

The disclosed systems, structures, and methods are directed to a spectrally-efficient orthogonal code generation architecture. The configurations presented herein employ a full-set code generation module configured to generate a candidate code group, wherein the candidate code group contains 2.sup.L different codes for a given code length L, a frequency response calculation module configured to calculate frequency response of the codes within the candidate code group and a frequency code searching module configured to search the orthogonal codes within each frequency code group. In addition, the grouping of codes is done on the basis of number of frequency locations and positions, one or more code sets are formed within each frequency code group, codes within code sets are orthogonal in nature and orthogonal codes along with their identifier information are stored in a database forming an orthogonal code list.

Claims

1. A spectrally-efficient orthogonal code generation system, comprising: a code generation module configured to generate a candidate code group, in which the candidate code group contains 2.sup.L different codes for a given code length L; a frequency response calculation module configured to calculate a frequency response of the codes within the candidate code group; a code grouping module configured to divide the codes within the candidate group into a unique frequency code group and a mixed frequency code group, based on frequency response of the codes within the candidate code group; a frequency code searching module configured to search for orthogonal codes within each of the unique and mixed frequency code groups.

2. The system of claim 1, wherein for a number of frequency locations N, the codes having same number of frequency locations N and frequency components positioned at same frequency locations are grouped to form the unique frequency code groups.

3. The system of claim 1, wherein for a number of frequency locations N, the codes having same number of frequency locations N and frequency components positioned at same frequency locations, in addition to the codes having the number of frequency locations less than N with a condition that the positions of all the frequency components of such codes will overlap with some positions of frequency components of codes having N frequency locations are grouped to form the mixed frequency code groups.

4. The system of claim 1, wherein one or more code sets are formed within each frequency code group, the codes within code sets are orthogonal in nature.

5. The system of claim 4, wherein the codes within the code sets have zero un-shifted cross correlation.

6. The system of claim 4, wherein the codes within the code sets have a minimum value of a maximum side lobe.

7. The system of claim 4, wherein the codes within the code sets have a minimum value of a total side lobe.

8. The system of claim 4, further generates an orthogonal code of length 2L within a code set by repeating the orthogonal code of length L.

9. The system of claim 4, further comprising storing identifier information and the corresponding orthogonal code in a database forming a orthogonal code list, wherein the identifier information can be at least one of the following: a number of code sets in the unique frequency code group, a number of codes in a code set, a number of frequency components in each code, a number of overlapped frequency locations, a location of a frequency component of each code, and/or a length of each code.

10. The system of claim 9, further computes a spectral efficiency wherein the spectral efficiency is a ratio of the number of codes in a code set within a frequency group and the number of frequency locations of the code.

11. The system of claim 10, wherein the spectral efficiency is at least 2.

12. A method of generating a spectrally-efficient orthogonal code, comprising: generating a candidate code group, wherein the candidate code group contains 2.sup.L different codes for a given code length L; calculating a frequency response of the codes within the candidate code group; dividing the codes within the candidate group into a unique frequency code group and a mixed frequency code group, based on frequency response of the codes within the candidate code group; searching for orthogonal codes within each of the unique and mixed frequency code groups.

13. The method of claim 12, wherein for a number of frequency locations N, the codes having same number of frequency locations N and frequency components positioned at same frequency locations are grouped to form the unique frequency code groups.

14. The method of claim 12, wherein for a number of frequency locations N, the codes having same number of frequency locations N and frequency components positioned at same frequency locations, in addition to the codes having the number of frequency locations less than N with a condition that the positions of all the frequency components of such codes will overlap with some positions of frequency components of codes having N frequency locations are grouped to form a mixed frequency code group.

15. The method of claim 12, wherein one or more code sets are formed within each frequency code group, the codes within each of the code sets are orthogonal in nature.

16. The method of claim 15, wherein the codes within the code sets have zero un-shifted cross correlation.

17. The method of claim 15, wherein the codes within the code sets have a minimum value of a maximum side lobe.

18. The method of claim 15, wherein the codes within the code sets have a minimum value of a total side lobe.

19. The method of claim 15, further comprising generating an orthogonal code of length 2L within the code set by repeating the orthogonal code of length L.

20. The method of claim 15, further comprising storing an identifier information and the corresponding orthogonal code in a database forming a orthogonal code list, wherein the identifier information is at least one of the following: a number of code sets within the unique frequency code group, a number of codes within a code set, a number of frequency components in each code, a number of overlapped frequency positions, a location of frequency component of each code, and/or a length of each code.

21. The method of claim 20, further computes a spectral efficiency wherein the spectral efficiency is a ratio of the number of codes in a code set within a frequency group and the number of frequency locations of the code.

22. The method of claim 21, wherein the spectral efficiency is at least 2.

23. A method for wireless communications, comprising: encoding an input signal; spreading the encoded signal using a suitable orthogonal code selected from a list of orthogonal codes, the suitable orthogonal code based on: generating a candidate code group, wherein the candidate code group contains 2.sup.L different codes for a given code length L; calculating a frequency response of the codes within the candidate code group; dividing the codes within the candidate group into two categories of frequency code groups, based on frequency response of the codes within the candidate code group; searching for orthogonal codes within each frequency code group; modulating the spread signal; transmitting the modulated signal.

24. The method of claim 23, wherein the frequency code groups comprise unique frequency code groups and for a number of frequency locations N, the codes having same number of frequency locations N and frequency components positioned at same frequency locations are grouped to form the unique frequency code groups.

25. The method of claim 23, wherein the frequency code groups comprise mixed frequency code groups and for a number of frequency locations N, the codes having same number of frequency locations N and frequency components positioned at same frequency locations, in addition to the codes having the number of frequency locations less than N with a condition that the positions of all the frequency components of such codes will overlap with some positions of frequency components of codes having N frequency locations are grouped to form a mixed frequency code group.

26. The method of claim 23, wherein one or more code sets are formed within each frequency code group, the codes within code sets are orthogonal in nature.

27. The method of claim 26, wherein the list of orthogonal codes includes identifier information and corresponding orthogonal code in a database, wherein the identifier information can be at least one of the following: a number of code sets in the unique frequency code group, a number of codes in a code set, a number of frequency components in each code, a number of overlapped frequency positions, a location of frequency component of each code, and/or a length of each code.

28. The method of claim 23, wherein the orthogonal codes are arranged as a set of codes in following code list: {(1,1,1,1),(1,1,1,1)},{(1,1,1,1),(1,1,1,1)},{(1,1,1,1),(1,1,1,1)},{(1,1,1,1),(1,1,1,1)} wherein, a set of values between a pair of round brackets represents the code and the plurality of codes in between a pair of braces represents the set of codes.

29. The method of claim 23, wherein the orthogonal codes are arranged as a set of codes in following code list: {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)} wherein, a set of values between a pair of round brackets represents the code and the plurality of codes in between a pair of braces represents the set of codes.

30. The method of claim 23, wherein the orthogonal codes are arranged as a set of codes in the following code list: {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1) }, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 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{(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)} wherein, a set of values between a pair of round brackets represents the code and the plurality of codes between a pair of braces represents the set of codes.

31. The method of claim 23, wherein the orthogonal codes are arranged as a set of codes in following code list: {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1,1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1,1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1,1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1,1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1) }, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1,1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1,1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), 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1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1,1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1,1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1,1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1,1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1,1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1,1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1,1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1,1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1,1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1,1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1,1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)} wherein, a set of values between a pair of round brackets represents the code and the plurality of codes in between a pair of braces represents the set of codes.

Description

BRIEF DESCRIPTION OF THE FIGURES

(1) The features and advantages of the present disclosure will become apparent from the following detailed description, taken in combination with the appended drawings, in which:

(2) FIG. 1 depicts a functional block diagram of a conventional transmitter architecture used in spread-spectrum based communication system;

(3) FIG. 2 depicts a functional block diagram of a conventional receiver architecture used in spread-spectrum based communication system;

(4) FIG. 3A depicts a high-level functional block diagram of spectrally efficient orthogonal code generation architecture, in accordance with various embodiments of the present disclosure;

(5) FIG. 3B depicts a high-level functional block diagram of a representative code grouping module, in accordance with various embodiments of the present disclosure;

(6) FIG. 3C depicts a high-level functional block diagram of a representative unique frequency code searching module, in accordance with various embodiments of the present disclosure;

(7) FIG. 3D depicts a high-level functional block diagram of a representative mixed frequency code searching module, in accordance with various embodiments of the present disclosure; and

(8) FIG. 4 depicts a functional flow diagram of spectrally efficient orthogonal code generation processing, in accordance with various embodiments of the present disclosure;

(9) FIG. 5 depicts an exemplary high-level functional block diagram of spectrally efficient orthogonal code generation architecture, in accordance with various embodiments of the present disclosure;

(10) FIG. 6 depicts an exemplary high-level functional block diagram of spectrum spreading architecture, in accordance with various embodiments of the present disclosure;

(11) FIG. 7 depicts a high-level functional block diagram of a transmitter, in accordance with various embodiments of the present disclosure;

(12) FIG. 8 depicts a high-level functional block diagram of a receiver, in accordance with various embodiments of the present disclosure;

(13) FIG. 9 depicts a high-level functional block diagram of a wireless receiver, in accordance with various embodiments of the present disclosure.

(14) It is to be understood that throughout the appended drawings and corresponding descriptions, like features are identified by like reference characters. Furthermore, it is also to be understood that the drawings and ensuing descriptions are intended for illustrative purposes only and that such disclosures are not intended to limit the scope of the claims.

DETAILED DESCRIPTION

(15) As used herein, the term about or approximately refers to a +/10% variation from the nominal value. It is to be understood that such a variation is always included in a given value provided herein, whether or not it is specifically referred to.

(16) Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which the described embodiments appertain.

(17) FIG. 1(Prior Art) illustrates a functional block diagram of a conventional transmitter architecture 100 used in a spread-spectrum based communication system directed to processing input signal and transmitting the processed signal over a wireless communication channel to a receiver. The conventional transmitter architecture 100 includes a channel encoding module 120, a spectrum spreading module 122, an orthogonal code generator 124, a modulator module 126 and a transmitter antenna 128. Other elements may be implemented but not illustrated for purposes of tractability.

(18) As illustrated by FIG. 1, conventional transmitter architecture 100 receives an input signal into channel encoding module 120. The channel encoding module 120 encodes the input signal and outputs the encoded signal to a spectrum spreading module 122. The channel encoding module 120 may use any of the existing encoding techniques, such as, for example, but not limited to block codes, convolutional codes, turbo codes etc.

(19) Assuming that the input signal is a digital signal (analog signals may be correspondingly processed), then the input signal may be a stream of symbols. If symbols are expressed in binary form, then each symbol has a bit value of 1 or 0. However, for ease of discussion, symbol values of 1 and 1 are used unless otherwise indicated.

(20) The spectrum spreading module 122 receives the encoded signal from channel encoding module 120 and is configured to spread the spectrum of encoded signal according to an orthogonal code generated by orthogonal code generator 124. The spreading of spectrum is executed by mixing the encoded signal with an orthogonal code.

(21) The modulator module 126 receives the spread signal from spectrum spreading module 122 and modulates the spread signal onto a carrier signal to output the modulated signal for transmission. An analog signal is thereafter transmitted via a transmitter antenna 128 to the wireless communication channel. The modulator 126 may use any of the existing modulation techniques, such as, for example, but not limited to PSK, FSK, ASK, OOK, QAM etc.

(22) FIG. 2(Prior Art) illustrates a functional block diagram of a conventional receiver architecture 200 used in spread-spectrum based communication system directed to processing received analog signal from transmitter antenna 128, to reconstruct the input signal. The conventional receiver architecture 200 includes a channel decoding module 220, a spectrum de-spreading module 222, an orthogonal code generator 224, a de-modulator module 226 and a receiver antenna 228. Other elements may be present but not illustrated for purposes of tractability.

(23) As illustrated by FIG. 2, conventional receiver architecture 200 receives an analog signal by receiver antenna 228 that has been transmitted by transmitter antenna 128. The demodulator module 226 demodulates the received analog signal. The demodulation of received analog signal is executed by mixing the received analog signal with a suitable carrier signal.

(24) The spectrum de-spreading module 222 receives the demodulated signal from demodulator module 226 and is configured to de-spread the spectrum of demodulated signal according to an orthogonal code generated by orthogonal code generator 224. The de-spreading of spectrum is carried out for example, by mixing the de-modulated signal with orthogonal code.

(25) The channel decoding module 220 receives the de-spread signal from spectrum de-spreading module 222. The channel decoding module 220 decode the de-spread signal to reconstruct the input signal. The channel decoding module 220 may use any of the existing decoding techniques such as, for example, but not limited to maximum likelihood decoder, Viterbi decoder etc.

(26) The orthogonal code generator 124 and/or 224 generates orthogonal codes such as Walsh-Hadamard Codes, Gold Codes, Kasami Codes, etc. based on various orthogonal code generation techniques. Each of the orthogonal code generation techniques has limitations to data transmission rate due to the fundamental assumptions related to the algorithms relied upon the generation of codes based only on orthogonality criteria rather than considering spectrum efficiency in conjunction with the orthogonality of generated codes.

(27) FIG. 3A depicts a functional block diagram of spectrally efficient orthogonal code generation architecture 300, in accordance with various embodiments of the present disclosure. As shown, orthogonal code generator 300 employs a full-set code generation module 310, frequency response calculation module 312, code grouping module 314, unique frequency code searching module 316, and mixed frequency code searching module 318.

(28) As will be understood in view of the ensuing descriptions and, in accordance with various embodiments of the present disclosure, the implementation of frequency response calculation module 312 and code grouping module 314 operate to assist the orthogonal code generator to generate spectrally efficient orthogonal codes, where the generated orthogonal codes may have fully or partially overlapping frequency positions. This allows the use of frequency spectrum more efficiently and thereby, improving the data transmission rate as well.

(29) Moreover, consistent with various embodiments of the present disclosure, it will be appreciated that some or all of the notable elements of spectrally efficient orthogonal code generation architecture 300, such as, for example, full-set code generation module 310, frequency response calculation module 312, code grouping module 314, unique frequency code searching module 316 and mixed frequency code searching module 318, may be implemented by software constructs to facilitate integration with existing transmitter and receiver architectures.

(30) Full-Set code generation module 310 receives a request from, such as, for example, a processor or a controller to generate codes of a specific length L. Full-Set code generation module 310 is further configured to generate and supply candidate code group that contains all possible combinations of codes for a given code length L, such as, for example, the total number of possible codes is 2.sup.L. The candidate code group generated by full-Set code generation module 310 is then supplied to frequency response calculation module 312 for calculation of frequency response of each code in candidate code group.

(31) Frequency response calculation module 312 receives the candidate code group generated by full-Set code generation module 310 and calculates frequency response of every code present in candidate code group for a given length L. In doing so, the frequency response calculation module 312 calculates number of frequency locations and the corresponding frequency positions present in each code of candidate code group. Further, frequency response calculation module 312, by supplying the frequency response of every code, number of frequency locations and the corresponding frequency positions present in each code of candidate code group to code grouping module 314, assists the code grouping module 314 to analyze and group the codes within candidate code group on the basis of their frequency responses. Frequency response calculation module 312 may use any of the existing techniques to calculate frequency responses such as, for example, but not limited to DFT, FFT etc.

(32) As discussed above regarding the orthogonal code generator 124 and/or 224 generates orthogonal codes based only on orthogonality criteria. However, as illustrated in FIG. 3A, spectrally efficient orthogonal code generation architecture 300 generates orthogonal codes that are not only orthogonal but spectrum efficient as well.

(33) To this end, FIG. 3B depicts a high-level functional block diagram of code grouping module 314, in accordance with various embodiments of the present disclosure. As shown, code grouping module 314 performs a code grouping operation based on calculated frequency responses of codes in candidate code group. The code grouping module 314 divides the codes into two categories of groups, namely unique frequency code groups and mixed frequency code groups. The code grouping module 314 then provides the unique frequency code groups and mixed frequency code groups. to unique frequency code searching module 316 and mixed frequency code searching 318 respectively, to form the orthogonal code sets within each frequency code group.

(34) As shown in FIG. 3B, the code grouping operation in code grouping module 314 may be implemented by a frequency response analyzer 314A. Frequency responses of codes in candidate code group are received by frequency response analyzer 314A. The frequency response analyzer 314A then analyzes the number of frequency locations and positions present in frequency response of each code present in candidate code group. Based on number of frequency locations and positions, frequency response analyzer 314A divides the codes in two categories of groups, namely unique frequency code groups and mixed frequency code groups.

(35) In some embodiments, such as, for example, while grouping the codes into unique frequency code group, the frequency response analyzer 314A upon detecting the codes having single frequency component and the position of frequency component is same in two or more codes in candidate code group, then the codes are grouped together to form unique single frequency group. The frequency response analyzer 314A will continue searching for all the codes in candidate code group having same number frequency components posited at same locations, to group them together. After grouping all the codes having same number of frequency components posited at same locations, the groups are supplied to unique frequency code group buffer 314B for further processing by unique frequency code searching module 316.

(36) In some embodiments, such as, for example, during the grouping of the codes into mixed frequency group, the frequency response analyzer 314A sets the initial number of frequency locations N equal to 2 and then searches for the codes having maximum N frequency locations. In doing so, the frequency response analyzer 314A will group those codes who have N number frequency components posited at same locations. In addition, the frequency response analyzer 314A will also group those codes that have the number of frequency locations less than N with a condition that the positions of all frequency components of such codes will overlap with some positions of frequency components of codes having N frequency locations. As an example, consider a code with two frequency components such as f.sub.1 and f.sub.2. The frequency response analyzer 314A will group all the codes having exactly two frequency components f.sub.1 and f.sub.2 to form a mixed frequency code group MG.sub.1 In addition, the frequency response analyzer 314A will also group the codes with single frequency component either f.sub.1 or f.sub.2 to form mixed frequency code group MG.sub.1.

(37) Once all the codes for a given value of N are grouped, the frequency response analyzer 314A will increase the value of N by one and repeat the above process until all codes are grouped. After grouping all the codes, the groups are supplied to mixed frequency code group buffer 314C for further processing by mixed frequency code searching module 318.

(38) It is to be understood that the frequency response analyzer 314A supplies unique frequency code groups and mixed frequency code groups to separate buffers 314B and 314C. However these code groups may be supplied to a common buffer for temporary storage of unique frequency code groups and mixed frequency code groups. The buffers may embody any suitable memory storage elements. Frequency response analyzer 314A is further capable of transferring unique frequency code groups and mixed frequency code groups directly to unique frequency code searching module 316 and mixed frequency code searching module 318, respectively, for further processing without storing them into any buffer.

(39) As indicated by FIG. 3B, the unique frequency code groups outputted by unique frequency code group buffer 314B are supplied to unique frequency code searching module 316. As shown in FIG. 3C, unique frequency code searching module 316 operates to search the orthogonal codes in unique frequency code groups and form orthogonal code sets within each unique frequency code group. The codes within code sets have same frequency response and are orthogonal in nature. Thus, the sharing of frequency positions by different orthogonal codes allows the use of frequency spectrum more efficiently and thereby, improving the data transmission rate.

(40) Consistent with the disclosed embodiments, the unique frequency code searching may be achieved by analyzing the auto-correlation, cross-correlation, auto-correlation side lobes, cross-correlation side lobes, total side lobes of auto-correlation and total side lobes of cross-correlation of various codes within same frequency group having same frequency response. By way of an illustrative example, codes X and Y are selected from same unique frequency code group and are given by:
X=(x.sub.0,x.sub.1, . . . ,x.sub.n-1),Y=(y.sub.0,y.sub.1, . . . ,y.sub.n-1); (x,y)(1,1)

(41) As shown in FIG. 3C, the auto-correlation of selected code X with its un-shifted version is computed by auto-correlation calculation module 316A and results in a weight W which is the auto-correlation peak of the selected code X. The resultant weight W is given by:

(42) $W=\underset{i=0}{\overset{n-1}{.Math.}}{x}_i{x}_i$

(43) Auto-correlation calculation module 316A further computes the side lobes, total side lobe and maximum side lobe of auto-correlation of code X. The side lobes of the auto-correlation of code X are given by:

(44) $s_{aut,j}=\underset{i=0,ji}{\overset{n-1}{.Math.}}{x}_i{x}_{i-j},j=0,1,2,\mathrm{.Math.}M-1$

(45) The total side lobe of the auto-cross correlation of code X is given by:

(46) $S_{aut,t}=\underset{j=0}{\overset{M-1}{.Math.}}.Math.s_{\mathrm{aut},j}.Math.$

(47) The maximum side lobe of the auto-cross correlation of code X is given by:
s.sub.aut,max=max{|s.sub.aut,0|,|s.sub.aut,1|, . . . ,|s.sub.aut,M-1|}

(48) As shown in FIG. 3C, the cross-correlation of selected code X and code Y, with their un-shifted versions is computed by cross-correlation calculation module 316B and is given by:

(49) $c=\underset{i=0}{\overset{n-1}{.Math.}}{x}_i{y}_i$

(50) Cross-correlation calculation module 316B further computes the side lobes, total side lobe and maximum side lobe of cross-correlation of code X and code Y. The side lobes of the cross-correlation of code X and code Y are given by:

(51) $s_{\mathrm{cross},j}=\underset{i=0,ij}{\overset{n-1}{.Math.}}{x}_i{y}_{i-j}$

(52) The total side lobe of the cross-cross correlation of code X and code Y is given by:

(53) $S_{cross,t}=\underset{j=0}{\overset{M-1}{.Math.}}.Math.s_{cr\mathrm{oss},j}.Math.$

(54) The maximum side lobe of the cross-cross correlation of code X and code Y is given by:
s.sub.cross,max=max{|s.sub.cross,0,|s.sub.cross,1|, . . . |s.sub.cross,M-1|}

(55) The computed values s.sub.aut,max, s.sub.cross,max, s.sub.aut,max and s.sub.cross,max are supplied to code selection module 316C. Code selection module 316C further selects overall maximum side lobe of correlation of code X and code Y as one the maximum value of s.sub.aut,max or s.sub.cross,max and is given by:
s.sub.max=max{s.sub.aut,max,s.sub.cross,max}

(56) Also, code selection module 316C computes overall total side lobe of correlation of code X and code Y by adding S.sub.aut,t and S.sub.cross,t and is given by:
s=s.sub.aut,t+s.sub.cross,t

(57) It is to be understood that auto-correlation calculation module 316A and cross-correlation calculation module 316B will compute the auto-correlation, cross-correlation, side lobes of auto-correlation, side lobes of cross-correlation, total side lobes of auto-correlation and total side lobes of cross-correlation of all the codes within each unique frequency code group. Also, auto-correlation calculation module 316A and cross-correlation calculation module 316B supplies the computed values to code selection module 316C.

(58) The code selection module 316C further operates to select the spectrally efficient orthogonal codes from each unique frequency code group and forms orthogonal code sets within each unique frequency code group. The codes within a code set have same number of frequency components posited at same locations and are orthogonal in nature making the codes spectrally efficient and thereby, improving the data transmission rate.

(59) In some embodiments, code selection module 316C will set a target number of codes in orthogonal code set. The target number of codes may be for example, equal to two. Code selection module 316C will then analyze the un-sifted version of cross-correlations between all the codes within each unique frequency code group as supplied by cross-correlation calculation module 316B and the computed values of overall maximum and total side lobe of correlation of all the code within each unique frequency code group. Code selection module 316C will then select the spectrally efficient orthogonal codes satisfying the condition of having zero un-shifted version of cross-correlation between the codes within each frequency group, minimum value of maximum side lobe level s.sub.max and minimum value of total side lobe level s. If code selection module 316C finds a suitable code, the target number of codes is increased by one and the selection process is then repeated with updated target number of codes until the number of codes in orthogonal code set is equal to target number of codes.

(60) As discussed above, the final output of unique frequency code searching module 316 for a given code length L will be various orthogonal code sets within each unique frequency code group. The orthogonal code sets may then be stored in any suitable memory element. Each code in a code set has same frequency response and is orthogonal in nature. Moreover, unique frequency code searching module 316 is further configured to output other information regarding the unique frequency code group, such as, for example, a number of code sets in a unique frequency code group, number of codes in a code set, number of frequency components in each code, location of frequency component of each code, length of each code, etc.

(61) Table 1 Illustrates exemplary orthogonal code sets for unique frequency code group, with a single frequency component, outputted by unique frequency code searching module 316, in accordance with the various operational embodiments provided above of the present disclosure. It will be further appreciated that a set of values between a pair of round brackets represents a code and plurality of codes in between a pair of braces represents an orthogonal code set.

(62) TABLE-US-00001 TABLE 1 {(1, 1, 1, 1), (1, 1, 1, 1)}, {(1, 1, 1, 1), (1, 1, 1, 1)}, {(1, 1, 1, 1), (1, 1, 1, 1)}, {(1, 1, 1, 1), (1, 1, 1, 1)}

(63) The depicted orthogonal code sets, as shown in table 1, are base code sets with code length equal to 4. The unique frequency code searching module 316 is further capable of outputting orthogonal code sets for single frequency code group with code length of 8 by repeating the codes in base code sets. The unique frequency code searching module 316 is also capable of outputting orthogonal code sets for single frequency code group with code length of 16 by repeating the codes in base code sets for four times and so on. It will be appreciated that unique frequency code searching module 316 is capable of performing the above operation for all unique frequency code groups.

(64) For instance, a code with length 4 (1,1,1,1) in table 1 with single frequency component may also be represented by a code with length 8 with single frequency component as (1,1,1,1,1,1,1,1), by a code with length 16 with single frequency component as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1) and so on.

(65) Table 2 Illustrates another exemplary subset of an orthogonal code sets for a unique frequency code group, with two frequency components, outputted by a unique frequency code searching module 316, in accordance with various embodiments of the present disclosure. It will be further appreciated that a set of values between a pair of round brackets represents a code and plurality of codes in between a pair of braces represents an orthogonal code set.

(66) TABLE-US-00002 TABLE 2 {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}

(67) The orthogonal code sets, as shown in table 2 are base code sets with code length of 8. The unique frequency code searching module 316 is further capable of outputting orthogonal code sets for double frequency code group with code length of 16 by repeating the codes in base code sets. The unique frequency code searching module 316 is also capable of outputting orthogonal code sets for double frequency code group with code length of 32 by repeating the codes in base code sets for four times and so on. It will be appreciated that unique frequency code searching module 316 is capable of performing the above operation for all unique frequency code groups.

(68) For instance, a code with length 8 (1,1,1,1,1,1,1,1) in table 2 with two frequency components may also be represented by a code with length 16 with two frequency components as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), by a code with length 32 with two frequency components as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1) and so on.

(69) As indicated by FIG. 3B, the mixed frequency code groups outputted by mixed frequency code group buffer 314C are supplied to mixed frequency code searching module 318.

(70) As shown in FIG. 3D, mixed frequency code searching module 318 operates to search the orthogonal codes in mixed frequency code groups and form orthogonal code sets within each mixed frequency code group. The codes within code sets have fully or partially overlapping frequency positions, and are orthogonal in nature. Thus, the sharing of frequency positions by different orthogonal codes allows the more efficient use of the operating frequency spectrum to thereby improve data transmission rates.

(71) Consistent with the disclosed embodiments, the mixed frequency code searching may be achieved by analyzing the auto-correlation, cross-correlation, side lobes of auto-correlation, side lobes of cross-correlation, total side lobes of auto-correlation and total side lobes of cross-correlation of various codes within same frequency group having fully or partially overlapping frequency positions.

(72) It is to be understood that auto-correlation calculation module 318A and cross-correlation calculation module 318B will compute the auto-correlation, cross-correlation, side lobes of auto-correlation, side lobes of cross-correlation, total side lobes of auto-correlation and total side lobes of cross-correlation of all the codes within each mixed frequency code group in a similar manner as these values are computed auto-correlation calculation module 316A and cross-correlation calculation module 316B. Also, auto-correlation calculation module 318A and cross-correlation calculation module 318B supplies the computed values to code selection module 318C

(73) The code selection module 318C further operates to select the spectrally efficient orthogonal codes from each mixed frequency code group and forms orthogonal code sets within each mixed frequency code group. The codes within a code set have same number of frequency locations, some overlapping frequency positions and are orthogonal in nature making the codes spectrally efficient and thereby, improving the data transmission rate.

(74) It is to be appreciated that code selection module 318C operates on mixed frequency code group in similar manner as code selection module 316C operates on unique frequency code group. It will be further appreciated that unique frequency code searching module 316 and mixed frequency code searching module 318 may also be operated by single frequency code searching module performing unique frequency orthogonal code searching and mixed frequency orthogonal code searching.

(75) As discussed above, the final output of mixed frequency code searching module 318 for a given code length L will be various orthogonal code sets within each mixed frequency code group. The orthogonal code sets may be then stored in any memory element known in the art. Further mixed frequency code searching module 318 is also capable of outputting other information regarding mixed frequency code group for example, number of code sets in a mixed frequency code group, number codes in a code set, number of overlapped frequency positions of each code, location of frequency component of each code and length of each code etc.

(76) Table 3 illustrates an exemplary subset of orthogonal code sets for mixed frequency code group, with three frequency components, outputted by mixed frequency code searching module 318, in accordance with various embodiments of the present disclosure. It will be further appreciated that a set of values between a pair of round brackets represents a code and plurality of codes in between a pair of braces represents an orthogonal code set.

(77) TABLE-US-00003 TABLE 3 {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1) }, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 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1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1,1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}

(78) The orthogonal code sets, as shown in table 3, are base code sets with code length of 8. The mixed frequency code searching module 318 is further capable of outputting orthogonal code sets for triple frequency code group with code length of 16 by repeating the codes in base code sets. The mixed frequency code searching module 318 is also capable of outputting orthogonal code sets for triple frequency code group with code length of 32 by repeating the codes in base code sets for four times and so on. It will be appreciated that mixed frequency code searching module 318 is capable of performing the above operation for all mixed frequency code groups.

(79) For instance, a code with length 8 (1,1,1,1,1,1,1,1) in table 3 with three frequency components may also be represented by a code with length 16 with three frequency component as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), by a code with length 32 with three frequency component as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1) and so on.

(80) Table 4 illustrates an exemplary subset of orthogonal code sets for mixed frequency code group, with four frequency components, outputted by mixed frequency code searching module 318, in accordance with various embodiments of the present disclosure. It will be further appreciated that a set of values between a pair of round brackets represents a code and plurality of codes in between a pair of braces represents an orthogonal code set.

(81) TABLE-US-00004 TABLE 4 {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 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1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}, {(1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1)}

(82) The orthogonal code sets, as shown in table 4 are base code sets with code length of 8. The mixed frequency code searching module 318 is further capable of outputting orthogonal code sets for four frequency code group with code length of 16 by repeating the codes in base code sets. The mixed frequency code searching module 318 is also capable of outputting orthogonal code sets for four frequency code groups with code length of 32 by repeating the codes in base code sets for four times and so on. It will be appreciated that mixed frequency code searching module 318 is capable of performing the above operation for all mixed frequency code groups.

(83) For instance, a code with length 8 (1,1,1,1,1,1,1,1) in table 4 with four frequency component may also be represented by a code with length 16 with four frequency component as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1), by a code with length 32 with four frequency component as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1) and so on.

(84) The performance of orthogonal codes sets supplied by unique frequency code searching module 316 and mixed frequency code searching module 318 may be evaluated in terms of spectral efficiency calculated as:

(85) $\mathrm{SPEF}=\frac{N_c}{{\mathrm{NF}}_c}$

(86) Where NFc is the number of frequency locations of the code, and N.sub.c is the number of codes in a code set within a frequency group. The spectral efficiency of codes within the code sets achieved by one the exemplary embodiment is 2

(87) FIG. 4 depicts a functional flow diagram of process 400 directed to spectrally efficient orthogonal code generation processing in accordance with various embodiments of the present disclosure.

(88) As shown, process 400 begins at task block 410, in which spectrally efficient orthogonal code generation architecture 300 receives a request to generate orthogonal codes of a specific length L. As noted above, architecture 300 may include full-Set code generation module 310 to receive a request to generate orthogonal codes of a specific length L.

(89) Process 400 proceeds to task block 412, where architecture 300 generates a full-set candidate code group. As noted above, full-Set code generation module 310 generates a full-set candidate code group that contains all possible combination of codes for the code length L.

(90) At task block 414, architecture 300 operates to calculate the frequency response of every code present in candidate code group. As discussed above, frequency response calculation module 312 calculates frequency response of every code present in candidate code group. In doing so, frequency response calculation module 312 calculates the number of frequency locations and the corresponding frequency positions present in each code of candidate code group.

(91) Process 400 advances to task block 416, where architecture 300 operates to perform a candidate code grouping based on number of frequency locations and the corresponding frequency positions present in all the codes of candidate code group. That is, as described above, spectrum code grouping module 314 performs a code grouping operation based on calculated frequency responses of codes in candidate code group. In doing so, code grouping module 314 divides the codes into two categories of groups, namely unique frequency code groups and mixed frequency code groups.

(92) Process 400 proceeds to task block 418, where architecture 300 sets a target number of codes in orthogonal code set. As noted above, code selection module 316C and code selection module 318C sets a target number of codes equal to two in orthogonal code set.

(93) At task block 420, architecture 400 operates to determine whether all frequency code groups have been searched. If all frequency code groups have been searched process 400 goes to task block 430 to end the process; otherwise process 400 advances to task block 422. As discussed above, unique frequency code searching module 316 and mixed frequency code searching module 318 operate to perform searching in unique frequency code group and mixed frequency code group.

(94) At process 400 the task block 422, where architecture 400 operates to perform orthogonal code searching. That is, as described above, code selection module 316C and code selection module 318C operates to select the orthogonal codes from each unique frequency code group and mixed frequency code group and forms orthogonal code sets within each unique frequency code group and mixed frequency code group respectively.

(95) Process 400 advances to task block 424, where architecture 300 determines whether the code is orthogonal or not. If the code is not orthogonal, process 400 returns to task block 416 and repeat the process with another group. If the code is orthogonal, process 400 goes to task block 426 where architecture 300 increments the target number of codes in orthogonal code set by one and the process returns to task block 422 to search another orthogonal code. Also, at task block 428, architecture 300 saves the value of orthogonal code and the target number of codes in orthogonal code set in a memory element. As discussed above, if code selection module 316C and code selection module 318C finds a suitable code, the target number of codes is increased by one and the selection process is then repeated with updated target number of codes. Further, the orthogonal code and the target number of codes in orthogonal code set may be then stored in a memory element.

(96) FIG. 5 shows an exemplary block diagram of spectrally efficient orthogonal code generation architecture 500, in accordance with various embodiments of the present disclosure. As shown, the orthogonal code generation architecture 500 employs a controller 502, a code generator 504 that includes full-set code generation module 504A, frequency response calculation module 504B, code grouping module 504C and code searching module 504D. The orthogonal code generation architecture 500 may also include an input interface 506 and a memory 508. The above components may be coupled together via a signal bus 510.

(97) The orthogonal code generation architecture 500 may receive a request via the input interface 506 to generate a specific orthogonal code that specifies the lengths of orthogonal codes. After receiving the request, the controller 502 proceeds to command the code generator module 504 to generate various code groups based on number of frequency locations and positions. Within each code group the codes are arranged to form orthogonal code sets based on orthogonality property. This process is similar to as described above. The code groups are placed into the memory 508 as each of the groups are generated.

(98) The memory 508 includes databases such as a code identifier database 508A and an orthogonal code database 508B. The orthogonal code database 508B stores the code groups as generated by code generator module 504. Each of the orthogonal code is individually identified by an identifier based on additional information outputted by the code generator 504 such as number of code sets in a code group, number codes in a code set, number of frequency components of each code, number of overlapped frequency positions, location of frequency component of each code and length of each code etc. The code identifier database 508A includes lists of such identifiers so that input signals may be spread according to a selected code sequence.

(99) It will be appreciated that the spectrally efficient orthogonal code generation architectures 300, 500 presented above may be employed in conventional transmitter and receiver architectures 100, 200. These architectures exploit the sharing of frequency positions by different orthogonal codes to enable the efficient utilization of the operating frequency spectrum, thereby improving data transmission rates.

(100) FIG. 6 shows a spectrum spreading system 600, in accordance with various embodiments of the present disclosure. The spectrum spreading system 600 includes a controller 602, a memory 604, a signal input interface 606 and a signal output interface 608. The above components are coupled together via a signal bus 612.

(101) The memory 604 includes databases such as a code identifier database 604A and an orthogonal code database 604B. The orthogonal code database 604B stores the code groups as generated by orthogonal code generation architecture 500, for example. Each of the orthogonal code is individually identified by an identifier based on additional information outputted by the code generator 504 such as number of code sets in a code group, number codes in a code set, number of frequency components of each code, number of overlapped frequency positions, location of frequency component of each code and length of each code etc.

(102) The signal input interface 606 receives the input signal to be spread via the signal bus 614 and the signal output interface 608 outputs the spread signal via a signal bus 616.

(103) The spectrum spreading system 600 is first initialized with the appropriate orthogonal code database 306 and the appropriate code sequence database 308. When an input signal from a previous stage such as, for example, channel encoder, is input via the signal input interface 606 as a symbol stream, the controller 602 then selects the appropriate orthogonal codes from memory 604 based on symbol stream. In doing so, the controller 602 spread each symbol based on the code sequence of selected orthogonal codes and outputs the spread signal via the signal output interface 608 to a following stage such as a modulator and transmitter for example. This process continues until the input symbol stream is exhausted.

(104) FIG. 7 illustrates a functional block diagram of a transmitter 700, in accordance with various embodiments of the present disclosure. The transmitter 700 includes a channel encoding module 720, a spectrum spreading module 722, a spreading code list provider 724, a modulator module 726 and a transmitter antenna 728. Other elements may be implemented but not illustrated for purposes of tractability and simplicity.

(105) As illustrated by FIG. 7, transmitter 700 receives an input signal into channel encoding module 720. The channel encoding module 720 encodes the input signal and outputs the encoded signal to a spectrum spreading module 722. The channel encoding module 720 may use any of the existing encoding techniques, such as, for example, but not limited to block codes, convolutional codes, turbo codes etc.

(106) The spectrum spreading module 722 receives the encoded signal from channel encoding module 720 and is configured to spread the spectrum of encoded signal according to a set of codes selected from spreading code list provider 724. The spreading of spectrum is executed by mixing the encoded signal with a code sequence in the code set.

(107) It is to be understood, that spreading code list provider 724 is capable of storing code sets in accordance with table 1, table 2, table 3 or table 4.

(108) The modulator module 726 receives the spread signal from spectrum spreading module 722 and modulates the spread signal onto a carrier signal to output the modulated signal for transmission. An analog signal is thereafter transmitted via a transmitter antenna 728 to the wireless communication channel. The modulator 726 may use any of the existing modulation techniques, such as, for example, but not limited to PSK, FSK, ASK, OOK, QAM etc.

(109) FIG. 8 illustrates a functional block diagram of a receiver 800 used in spread-spectrum based communication system directed to processing received analog signal from transmitter antenna 828, to reconstruct the input signal. The receiver 800 includes a channel decoding module 820, a spectrum de-spreading module 822, a spreading code list provider 824, a de-modulator module 826 and a receiver antenna 828. Other elements may be present but not illustrated for purposes of tractability and simplicity.

(110) As illustrated by FIG. 8, receiver 800 receives an analog signal by receiver antenna 828 that may be transmitted by transmitter antenna 728. The demodulator module 826 demodulates the received analog signal. The demodulation of received analog signal is executed by mixing the received analog signal with a suitable carrier signal.

(111) The spectrum de-spreading module 822 receives the demodulated signal from demodulator module 826 and is configured to de-spread the spectrum of demodulated signal according to a set of codes selected from spreading code list provider 824. The de-spreading of spectrum is carried out for example, by mixing the de-modulated signal with a code sequence in the code set.

(112) It is to be understood, that spreading code list provider 824 may be capable of storing code sets in accordance with table 1, table 2, table 3 or table 4.

(113) The channel decoding module 820 receives the de-spread signal from spectrum de-spreading module 822. The channel decoding module 820 decode the de-spread signal to reconstruct the input signal. The channel decoding module 820 may use any of the existing decoding techniques such as, for example, but not limited to maximum likelihood decoder, Viterbi decoder etc.

(114) FIG. 9 illustrates a functional block diagram of the architecture of a wireless receiver 900 for processing received analog signals. The wireless receiver 900 includes a code division multiplexing (CDM) encoder module 920, an analog-to-digital converter (ADC) 922, a CDM decoder module 924, and a spread code list provider 926A, 926B. It will be understood that other elements may be present but not illustrated for the purpose of tractability and simplicity.

(115) As illustrated by FIG. 9, wireless receiver 900 receives analog input signals x.sub.1(t), x.sub.2(t) . . . x.sub.n(t), which may be received by one or more antenna structures (not shown), such as, for example, MIMO/M-MIMO antennas. Moreover, each of the received signals may possess different modulation/encoding characteristics.

(116) As shown, the analog input signals x.sub.1(t), x.sub.2(t) . . . x.sub.n(t) are forwarded to CDM encoder 920. The CDM encoder 920 is configured to encode and convert the n analog input signals x.sub.1(t), x.sub.2(t) . . . x.sub.n(t) into a single, composite, encoded analog signal x(t), in accordance with a supplied coding scheme. That is, spread code list provider 926A supplies CDM encoder module 920 with a spread code scheme c.sub.i[n]: c.sub.1[n], c.sub.2[n] . . . c.sub.n[n]. Consistent with other embodiments of present disclosure, spread code list provider 926A may be capable of storing code sets in accordance with table 1, table 2, table 3 or table 4.

(117) In particular, the encoding operation of CDM encoder module 920 is accomplished by mixing the analog input signals x.sub.1(t), x.sub.2(t) . . . x.sub.n(t) with the spread code scheme c.sub.1[n], c.sub.2[n] . . . c.sub.n[n]. The outputs of the mixing operation may be subsequently filtered and combined to yield a single analog composite signal x(t) that is effectively spread across a wide frequency bandwidth.

(118) The encoded analog composite signal x(t) may be provided to a ADC module 922 having high bandwidth, and operates to convert analog composite signal x(t) into a digital composite signal x[n].

(119) The digital composite signal x[n] is subsequently transmitted for further processing, such as, for example, decoding operations performed by CDM decoder module 924. CDM decoder module 924 processes digital composite signal x[n] to decode and segregate the digital composite signal x[n] to obtain digital input signals x.sub.1[n], x.sub.2[n] . . . x.sub.n[n].

(120) That is, CDM decoder module 124 receives and processes digital composite signal x[n] by mixing the digital composite signal x[n] with the spread code scheme c.sub.i[n] provided by spread code list provider 926B. Consistent with other embodiments of present disclosure, spread code list provider 926A may be capable of storing code sets in accordance with table 1, table 2, table 3 or table 4. The resulting mixed samples may be then integrated to generate digital input signals x.sub.1 [n], x.sub.2[n] . . . x.sub.n[n].

(121) It is to be understood that the operations and functionality of the described orthogonal code generation architecture, transmitter, receiver, constituent components, and associated processes may be achieved by hardware-based, software-based, firmware-based elements and/or combinations thereof. Such operational alternatives do not, in any way, limit the scope of the present disclosure.

(122) It will be further appreciated that the orthogonal code generation architecture, transmitter, and receiver discussed in the current discloser may be incorporated in a number of different electronic devices, such as, for example, mobile phones, laptops, user equipment (UE), etc.

(123) It will also be understood that, although the inventive concepts and principles presented herein have been described with reference to specific features, structures, and embodiments, it is clear that various modifications and combinations may be made without departing from such disclosures. The specification and drawings are, accordingly, to be regarded simply as an illustration of the inventive concepts and principles as defined by the appended claims, and are contemplated to cover any and all modifications, variations, combinations or equivalents that fall within the scope of the present disclosure.