System and method for receiving phase-shift keyed and amplitude-phase modulated signals

A system for achieving a signal and noise separation in an amplitude-phase modulated signal comprising:

• a linear analog filter;
• an analog to digital converter;
• a solver-separator component in communication with the frequency preprocessing component and the analog to digital converter;
• and
• wherein the linear analog filter is configured to accept a signal to noise mixture via a channel with noise and send a modified signal to noise mixture to the solver-separator component for completing a clean separation of signal and noise.

A method of achieving a clean signal and noise separation in phase-shift keyed and amplitude-phase modulated signals, the method comprising:

• providing a Gaussian channel noise;
• suppressing a spectrum of noise in the phase-shift keyed and amplitude-phase modulated signals with a linear analog filter;
• quantizing a signal-noise mixture using an analog to digital converter;
• sending a modified signal to noise mixture to a solver-separator component;
• using discrete measurements of the modified signal to noise mixture to build a system of linear algebraic equations;
• using a linear separating matrix of coefficients to achieve a clean separation of signal and noise.