Method for orthogonal wavicle division multiple-access modulation-demodulation

Abstract

A method for orthogonal wavicle division multiple-access modulation-demodulation includes: generate an orthogonal quantum chaotic data wavicles matrix and a quantum chaotic sync wavicle according to a key including the required data bit-rate, the parallel symbols transmission scheme, the signal updating/sampling rate, the available energy spectrum range, and either the ID of the source user or other perturbation schemes agreed upon by the transmitter and receiver; generate and transmit a modulated quantum chaotic wavicle by orthogonal wavicle division multiplexing modulating a serial bits segment to an orthogonal quantum chaotic data wavicles matrix plus a quantum chaotic sync wavicle; and retrieve the serial bits segment by orthogonal wavicle division multiplexing demodulating the received signal synchronously with an orthogonal quantum chaotic data wavicles matrix plus a quantum chaotic sync wavicle.

Claims

1. A method for orthogonal wavicle division multiple-access modulation-demodulation, comprising: generating an orthogonal quantum chaotic data wavicles matrix and a quantum chaotic sync wavicle according to a key comprising a predetermined data bit-rate, a parallel symbols transmission scheme, a signal updating/sampling rate, an available energy spectrum range, and either an ID of a source user or perturbation schemes agreed upon by a transmitter and a receiver; generating and transmitting a modulated quantum chaotic wavicle by an orthogonal wavicle division multiplexing modulating a serial bits segment to the orthogonal quantum chaotic data wavicles matrix and the quantum chaotic sync wavicle; and retrieving the serial bits segment by the orthogonal wavicle division multiplexing, wherein the orthogonal wavicle division multiplexing demodulates a received signal synchronously with the orthogonal quantum chaotic data wavicles matrix and the quantum chaotic sync wavicle.

2. The method according to claim 1, wherein, a process of generating the orthogonal quantum chaotic data wavicles matrix comprises: determining a scale of the orthogonal quantum chaotic wavicles by the predetermined data bit-rate, the parallel symbols transmission scheme and the signal updating/sampling rate; determining a quantum chaotic transition range coefficient by the available energy spectrum range of the orthogonal quantum chaotic wavicles; generating a Hermitian matrix operator for a bounded and isolated quantum system; generating a Hermitian perturbation matrix by the ID of the source user or the perturbation schemes agreed upon by the transmitter and the receiver; calculating orthonormal stationary quantum chaotic states of the bounded and isolated quantum system numerically after an external perturbation; generating a set of the orthogonal quantum chaotic wavicles by a direct selection or a linear superposition; and generating the orthogonal quantum chaotic data wavicles matrix and the quantum chaotic sync wavicle.

3. The method according to claim 2, wherein, the scale N.sub.w of the orthogonal quantum chaotic wavicles has the following mathematical expression: $N_w=\frac{m.Math.P.Math.R_s}{R_b};$ wherein R.sub.b is the predetermined data bit-rate, R.sub.s is the signal updating/sampling rate, P is a number of parallel symbols, and m is a bit number per symbol.

4. The method according to claim 2, wherein, the quantum chaotic transition range coefficient a has the following mathematical expression: $a=\frac{1}{2}\frac{f_L}{f_H};$ wherein f.sub.L is a minimum range of the available energy spectrum range, and f.sub.H is a maximum range of the available energy spectrum range of the orthogonal quantum chaotic wavicles.

5. The method according to claim 2, wherein, a N.sub.w×N.sub.w Hermitian matrix operator H for the bounded and isolated quantum system has the following mathematical expression:
H=−Sa.sup.2[a(j−k)],1≤j,k≤N.sub.w; wherein N.sub.w is the scale of the orthogonal quantum chaotic wavicles, and a is the quantum chaotic transition range coefficient.

6. The method according to claim 2, wherein, the orthonormal stationary quantum chaotic states {φ.sub.k′, 2aN.sub.w≤k≤N.sub.w} of the bounded and isolated quantum system H after an external perturbation δ is numerically calculated by a Divide and Conquer method and a Jacobian method:
(H+δ)φ.sub.k′=E.sub.k′φ.sub.k′; wherein E.sub.k′ is an eigenvalue corresponding to φ.sub.k′.

7. The method according to claim 2, wherein, a number nW of the orthogonal quantum chaotic wavicles linearly superposed or directly selected from the orthonormal stationary quantum chaotic states {φ.sub.k′, 2aN.sub.w≤k≤N.sub.w} has the following mathematical expression:
nW=2.sup.m.Math.P+1; wherein P is a number of parallel symbols and m is a bit number per symbol.

8. The method according to claim 1, wherein, a modulating process of the orthogonal wavicle division multiplexing comprises: generating a parallel symbols array by a serial-parallel conversion of the serial bits segment; mapping each parallel symbol in the parallel symbols array to one quantum chaotic data wavicle in the orthogonal quantum chaotic data wavicles matrix by row, to obtain parallel mapped quantum chaotic data wavicles; generating a modulated quantum chaotic wavicle by accumulating the parallel mapped quantum chaotic data wavicles and the quantum chaotic sync wavicle; and transmitting the modulated quantum chaotic wavicle completely following, or partly overlapping with and overdue to, a previous modulated quantum chaotic wavicle.

9. The method according to claim 8, wherein, the modulated quantum chaotic wavicle W.sup.t generated by accumulating the parallel mapped quantum chaotic data wavicles W.sub.p and the quantum chaotic sync wavicle W.sub.0 has the following mathematical expression:
W.sup.t=W.sub.0+Σ.sub.pW.sub.p.

10. The method according to claim 1, wherein, a demodulating process of the orthogonal wavicle division multiplexing comprises: performing a sliding dot-product on the received signal by the quantum chaotic sync wavicle to obtain correlation synchronizing values; detecting and synchronizing the quantum chaotic sync wavicle in the received signal by comparing a maximum correlation synchronizing value of the correlation synchronizing values with a sync detection threshold, to obtain a synchronized signal; performing a dot-product on the synchronized signal by the orthogonal quantum chaotic data wavicles matrix to obtain correlation receiving values; extracting a parallel symbols array from the correlation receiving values by seeking out an index of a maximum value per row; and retrieving the serial bits segment by a serial-parallel conversion of the parallel symbols array.

11. The method according to claim 10, wherein, an array χ of the correlation synchronizing values obtained by performing the sliding dot-product on the received signal s.sub.r by the quantum chaotic sync wavicle W.sub.0 has the following mathematical expression:
χ(k)=Σ.sub.ns.sub.r(n+k)W.sub.0(n); wherein s.sub.r(n) is a received signal segment of a length 2.Math.N.sub.w.

12. The method according to claim 10, wherein, a matrix λ of the correlation receiving values obtained by performing the dot-product on the synchronized signal s.sub.w by the orthogonal quantum chaotic data wavicles matrix W has the following mathematical expression:
λ.sub.p,j=Σ.sub.ns.sub.w(n)W.sub.p,j(n), 1≤p≤P; 1≤j≤2.sup.m; wherein P is a number of parallel symbols and m is a bit number per symbol.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 is a flow chart of generating an orthogonal quantum chaotic data wavicles matrix plus a quantum chaotic sync wavicle according to a preferred embodiment of the invention.

(2) FIG. 2 is a flow chart of Orthogonal Wavicle Division Multiplexing modulation according to a preferred embodiment of the invention.

(3) FIG. 3 is a flow chart of Orthogonal Wavicle Division Multiplexing demodulation according to a preferred embodiment of the invention.

DETAILED DESCRIPTION OF THE EMBODIMENTS

(4) The present invention is further elaborated in accordance with the drawings and embodiments.

Embodiment 1

(5) By numerical calculation of all the orthonormal stationary quantum chaotic states of a certain bounded and isolated quantum system after a specific external perturbation, an orthogonal quantum chaotic data wavicles matrix plus a quantum chaotic sync wavicle are generated in transmitter and receiver simultaneously through the following procedures shown in FIG. 1.

(6) Executing procedure 100: determine the scale N.sub.w of the orthogonal quantum chaotic wavicles by the required data bit-rate R.sub.b, the P parallel m-bit symbols transmission scheme and the signal updating/sampling rate R.sub.s,

(7) $N_w=\frac{m.Math.P.Math.R_s}{R_b}$

(8) Executing procedure 101: determine the quantum chaotic transition range coefficient a by the available energy spectrum range (f.sub.L, f.sub.H) of the orthogonal quantum chaotic wavicles,

(9) $a=\frac{1}{2}\frac{f_L}{f_H}$

(10) Executing procedure 102: generate a N.sub.w×N.sub.w Hermitian matrix operator H for a bounded and isolated quantum system by the above scale N.sub.w and quantum chaotic transition range coefficient a
H=−Sa.sup.2[a(j−k)],1≤j,k≤N.sub.w

(11) Executing procedure 103: generate a N.sub.w×N.sub.w Hermitian perturbation matrix δ by the ID of the source user or other perturbation schemes agreed upon by the transmitter and receiver.

(12) Executing procedure 104: numerically calculate all the orthonormal stationary quantum chaotic states {φ.sub.k′, 2aN.sub.w≤k≤N.sub.W} of the bounded and isolated quantum system H after the external perturbation δ by the Divide and Conquer Method, the Jacobian Method, and so on.
(H+δ)φ.sub.k′=E.sub.k′φ.sub.k′
wherein the E.sub.k′ is the eigenvalue corresponding to φ.sub.k′.

(13) Executing procedure 105: generate a set of nW orthogonal quantum chaotic wavicles from the above orthonormal stationary quantum chaotic states {φ.sub.k′2aN.sub.w≤k≤N.sub.w} by direct selection or linear superposition
nW=2.sup.m.Math.P+1
wherein P is the number of parallel symbols and m is the bit number per symbol.

(14) Executing procedure 106: generate a P×2.sup.m orthogonal quantum chaotic data wavicles matrix W and a quantum chaotic sync wavicle W.sub.0 from the above set of nW orthogonal quantum chaotic wavicles

Embodiment 2

(15) By mapping each parallel symbol in the symbols array to one orthogonal quantum chaotic data wavicle in the orthogonal quantum chaotic data wavicles matrix by row, a modulated quantum chaotic wavicle is generated and transmitted in transmitter through the following procedures shown in FIG. 2.

(16) Executing procedure 200: generate a parallel m-bit symbols P×1 array D.sup.t by Serial-Parallel (S-P) conversion of a serial m.Math.P bits segment; Executing procedure 201: map each parallel symbol D.sub.p.sup.t in the symbol array D.sup.t to one quantum chaotic data wavicle W.sub.p,D.sub.p.sub.t.sub.+1 in the quantum chaotic data wavicles matrix W by row;

(17) Executing procedure 202: generate a modulated quantum chaotic wavicle W.sup.t by accumulating all the P parallel mapped quantum chaotic data wavicles W.sub.p,D.sub.p.sub.t.sub.+1 and the quantum chaotic sync wavicle W.sub.0;

(18) $W^t=W_0+\underset{p}{.Math.}{W}_p$

(19) Executing procedure 203: transmit a modulated quantum chaotic wavicle completely following or partly overlapping with and overdue to the previous one

Embodiment 3

(20) After the detection and synchronization of the quantum chaotic sync wavicle, a parallel symbols array is retrieved from the synchronized signal through the following procedures shown in FIG. 3.

(21) Executing procedure 300: calculate the correlation synchronizing values array χ by sliding dot-product the received signal s.sub.r by the quantum chaotic sync wavicle W.sub.0

(22) $\chi \left(k\right)=\underset{n}{.Math.}{s}_r\left(n+k\right)W_0\left(n\right)$
wherein s.sub.r(n) is a received signal segment of the length 2.Math.N.sub.w.

(23) Executing procedure 301: detect and synchronize the quantum chaotic sync wavicle in the received signal by comparing the maximum synchronization value λ.sub.max with a sync threshold χ.sub.th to get the synchronized signal s.sub.w from the received signal s.sub.r(n)
s.sub.w(n)=s.sub.r(k.sub.max:k.sub.max+N.sub.w−1)
wherein k.sub.max is the index of the maximum beyond the sync threshold χ.sub.th in the correlation synchronizing values array χ.

(24) Executing procedure 302: calculate the correlation receiving values matrix λ by dot-product the synchronized signal s.sub.w by the quantum chaotic data wavicles matrix W

(25) 0${\lambda }_{p,j}=\underset{n}{.Math.}{s}_w\left(n\right)W_{p,j}\left(n\right),1\le p\le P;1\le j\le 2^m$
wherein P is the number of parallel symbols and m is the bit number per symbol.

(26) Executing procedure 303: extract a parallel m-bit symbols P×1 array D.sup.r by seeking out the index of the maximum value from the correlation receiving values matrix λ by row.

(27) Executing procedure 304: retrieve a serial m.Math.P bits segment by Parallel-Serial conversion of the above parallel m-bit symbols P×1 array D.sup.r.

(28) To have a better understanding of the invention, three embodiments are described in detail, but are not a limitation to the invention. According to the technical essence of the invention, any simple modification to the above embodiments should still be within the scope of the invention. Each embodiment in this specification focuses on the differences from other embodiment, which are referred to each other in the same or similar parts.