This disclosure describes systems, methods, and devices related to enhanced constellation shaping. A device may generate payload bits associated with a frame to be sent to a first station device. The device may generate a first output bits having a first length based on the application of a first mask of one or more masks to the payload bits. The device may generate a second output bits having a second length based on the application of a second mask of the one or more masks. The device may compare the first length of the first output bits to the second length of the second output bits. The device may select the first mask or the second mask based on the comparison. The device may convert the payload bits using the selected mask before passing through a shaping encoder to generate shaped bits. The device may cause to send the frame bits and an indication of the selected mask to the first station device.

Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet, such as by polynomial convolution, to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission.

A method of recovering information encoded by a modulated sinusoidal waveform having first, second, third and fourth data notches at respective phase angles, where a power of the modulated sinusoidal waveform is reduced relative to a power of an unmodulated sinusoidal waveform within selected ones of the first, second, third and fourth data notches so as to encode input digital data. The method includes receiving the modulated sinusoidal waveform and generating digital values representing the modulated sinusoidal waveform. A digital representation of the unmodulated sinusoidal waveform is subtracted from the digital values in order to generate a received digital data sequence, which includes digital data notch values representative of the amplitude of the modulated sinusoidal waveform within the first, second, third and fourth data notches. The input digital data is then estimated based upon the digital data notch values.

Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission. In various embodiments, transmitter and receivers utilizing symbol waveforms based on a PSW alphabet designed may be in wireless and/or wired data transmission systems that may or may not include transmitters and receivers employing traditional modulation formats.

A method of recovering information encoded by a modulated sinusoidal waveform having first, second, third and fourth data notches at respective phase angles, where a power of the modulated sinusoidal waveform is reduced relative to a power of an unmodulated sinusoidal waveform within selected ones of the first, second, third and fourth data notches so as to encode input digital data. The method includes receiving the modulated sinusoidal waveform and generating digital values representing the modulated sinusoidal waveform. A digital representation of the unmodulated sinusoidal waveform is subtracted from the digital values in order to generate a received digital data sequence, which includes digital data notch values representative of the amplitude of the modulated sinusoidal waveform within the first, second, third and fourth data notches. The input digital data is then estimated based upon the digital data notch values.

Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet, such as by polynomial convolution, to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission. In various embodiments, transmitter and receivers utilize symbol waveforms based on a PSW alphabet designed using methods that may include specifying the location of particular polynomial roots, such as placing roots at the symbol time boundaries with amplitude zero, to minimize symbol boundary discontinuities, translating the nearest polynomial root to a particular point in the complex plane, directly editing the location of one or more polynomial roots, adjusting the complex conjugate of an edited PSW root in order to keep the PSW real-valued, and shaping one of more PSWs using polynomial convolution with polynomial versions of the raised cosine, root raised cosine, Gaussian, or other band-limiting filters. Stochastic methods for PSW optimization are also introduced.

A system and method for waveform modulation includes encoding input digital data at selected phase angles of an unmodulated sinusoidal waveform. The encoding includes selectively reducing a power of the unmodulated sinusoidal waveform at the selected phase angles in accordance with bit values of the input digital data so as to respectively define first, second, third and fourth data notches in the modulated sinusoidal waveform. An encoded analog waveform is then generated from a digital representation of the modulated sinusoidal waveform. The encoding is performed so that energies associated with the first and third data notches are balanced and energies associated with second and fourth data notches are also balanced. Each of the energies corresponds to a cumulative power difference between a power of the unmodulated sinusoidal waveform and a power of the modulated sinusoidal waveform over a phase angle range subtended by one of the data notches.

A system and method for narrowband sinewave modulation. The system includes an input buffer for storing input digital data and a sub-periodic modulator for encoding the input digital data in a periodic waveform. The sub-periodic modulator encodes one or more bit values of the input digital data within each period of the periodic waveform. One or more digital-to-analog converters generate an encoded analog waveform from a digital representation of the periodic waveform wherein the encoded analog waveform is of a frequency f and a power P. The encoding is performed by the sub-periodic modulator such that any signal of frequency f resulting from the encoding is of a power P at least 50 dB less than power P, where f is offset from f by more than 25 Hz.

Systems, methods and devices for communicating comprise one or more of a computer-readable media, a computer, a satellite communication device and a mobile device, wherein the at least one of a computer-readable media, a computer, a satellite communication device and a mobile device to perform at least one of supplying data as input communication symbols to an encoder, which converts the input communication symbols into transmittable waveforms having a head function and a tail function, which are different. A transmitter transmits transmittable waveforms over a communication channel, which is received by a receiver, then demodulated and output communication symbols carrying the data to at least one of a user, a secondary computer-readable media, a secondary computer, a secondary satellite communication device and a secondary mobile device.

The disclosed systems, structures, and methods are directed to a wireless local area network (WLAN) transmission architecture and transmitting methodology that combines space-time block code (STBC) encoding techniques with semi-orthogonal multiple access (SOMA) schemes to improve throughput rate performance for lower signal strength data. The transmission architecture and method includes a data processing module that is configured to digitally process and format data produced by two wireless stations. A SOMA constellation quadrature encoding module operates to apply quadrature-based modulation to the processed data and map the data to a modulation constellation based on data signal strength and data bit reliability. An STBC encoding module is configured to block encode the SOMA modulated data with orthogonal codes to produce STBC-based SOMA-symbol data having time and space diversity properties that improve throughput performance at lower signal strength levels.