High spectral efficiency data communications system using encoded sinusoidal waveforms

A system for periodic waveform modulation, the system comprising:

• an input buffer configured to store input data;
• a sub-periodic modulator for creating a modulated sinusoidal waveform in accordance with bit values of the input data so as to respectively define first, second, third and fourth amplitude perturbations in the modulated sinusoidal waveform;
• and
• one or more digital-to-analog converters for generating an encoded analog waveform based upon the modulated sinusoidal waveform;
• wherein a first cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a first phase angle range subtended by the first amplitude perturbation is substantially equal to a third cumulative power difference between the power of the modulated sinusoidal waveform and the power of the unmodulated sinusoidal waveform over a third phase angle range subtended by the third amplitude perturbation;
• wherein a second cumulative power difference between the power of the modulated sinusoidal waveform and the power of the unmodulated sinusoidal waveform over a second phase angle range subtended by the second amplitude perturbation is substantially equal to a fourth cumulative power difference between the power of the modulated sinusoidal waveform and the power of the unmodulated sinusoidal waveform over a fourth phase angle range subtended by the fourth amplitude perturbation.

A method, comprising:

• receiving input data;
• creating a modulated sinusoidal waveform having amplitude perturbations of reduced power at selected phase angles of the modulated sinusoidal waveform wherein the amplitude perturbations represent values of the input data;
• and
• generating an encoded analog waveform based upon the modulated sinusoidal waveform;
• wherein a first energy associated with a first of the amplitude perturbations is substantially equal to a second energy associated with a second of the amplitude perturbations.

A non-transitory computer readable medium that comprises program instructions for modulated sinusoidal waveform generation that, when executed by a processor, causes the processor to:

• receive input data;
• and
• generate a modulated sinusoidal waveform having a plurality of amplitude perturbations, each of the plurality of amplitude perturbations corresponding to a reduction in a power of an unmodulated sinusoidal waveform over a phase angle range in accordance with a value of the input data;
• wherein an encoded analog waveform is produced based upon the modulated sinusoidal waveform and wherein a first energy associated with a first of the plurality of amplitude perturbations is substantially equal to a second energy associated with a second of the plurality of amplitude perturbations.