Systems and methods for reducing a relatively high power, approximately constant envelope interference signal that spectrally overlaps a relatively low power desired signal

A system for processing time-domain samples of a digitized signal in rectangular coordinates, the digitized signal including a relatively low power desired signal and a relatively high power, approximately constant envelope interference signal that spectrally overlaps the desired signal, the system comprising:

• a rectangular to polar converter configured to obtain a magnitude and a phase of each time-domain sample of the digitized signal in polar coordinates;
• an interference magnitude estimator configured to estimate a magnitude of the interference signal based on the respective magnitudes of a predetermined number of the time-domain samples in polar coordinates;
• a subtractor configured to obtain a difference magnitude for each of the time-domain samples in polar coordinates based on the magnitude of that sample and the estimated magnitude of the interference signal in polar coordinates;
• and
• a polar to rectangular converter configured to obtain time-domain samples in rectangular coordinates of the desired signal with reduced power of the interference signal based on the difference magnitude and the phase of respective samples in polar coordinates,
• wherein the interference magnitude estimator is configured to estimate the magnitude of the interference signal based on an average of the magnitudes of the predetermined number of the time-domain samples in polar coordinates.

A method for processing time-domain samples of a digitized signal in rectangular coordinates, the digitized signal including a relatively low power desired signal and a relatively high power, approximately constant envelope interference signal that spectrally overlaps the desired signal, the method comprising:

• obtaining a magnitude and a phase of each time-domain sample in polar coordinates;
• estimating a magnitude of the interference signal based on the respective magnitudes of a predetermined number of the time-domain samples in polar coordinates;
• obtaining a difference magnitude for each of the time-domain samples in polar coordinates based on the magnitude of that sample and the estimated magnitude of the interference signal in polar coordinates;
• and
• obtaining time-domain samples in rectangular coordinates of the desired signal with reduced power of the interference signal based on the difference magnitude and the phase of respective time-domain samples in polar coordinates,
• wherein the power of the interference signal is at least ten times as large as the power of the desired signal.

A method for processing time-domain samples of a digitized signal in rectangular coordinates, the digitized signal including a relatively low power desired signal and a relatively high power, approximately constant envelope interference signal that spectrally overlaps the desired signal, the method comprising:

• obtaining a magnitude and a phase of each time-domain sample in polar coordinates;
• estimating a magnitude of the interference signal based on the respective magnitudes of a predetermined number of the time-domain samples in polar coordinates;
• obtaining a difference magnitude for each of the time-domain samples in polar coordinates based on the magnitude of that sample and the estimated magnitude of the interference signal in polar coordinates;
• and
• obtaining time-domain samples in rectangular coordinates of the desired signal with reduced power of the interference signal based on the difference magnitude and the phase of respective time-domain samples in polar coordinates,
• wherein the magnitude of the interference signal is estimated based on an average of the magnitudes of the predetermined number of the time-domain samples in polar coordinates.