Digital technique of compensating mismatches between in phase and quadrature channels

A communication system comprising:

• a receiver to receive a input signal, the input signal comprising two signals that differ in phase;
• and
• a processor communicatively coupled with the receiver, the processor configured to perform operations comprising:
• receiving a first demodulated signal produced by multiplying a first generated signal with the received input signal, the first generated signal being of a form cos(wct) with wc being a carrier frequency;
• receiving a second demodulated signal produced by multiplying a second generated signal with the received input signal, the second generated signal being of a form α sin(wct−φ), wherein α represents an amplitude mismatch and φ represents a phase mismatch between the first and second generated signals;
• obtaining one or more groups generated from one or more previously received input signals, respectively, wherein each group comprises a first demodulated signal and a second demodulated signal, wherein each previously received input signal comprises two signals that differ in phase;
• generating a filtering coefficient for each obtained group, wherein each generated filtering coefficient comprises a matrix comprising one or more non-symmetrical terms;
• and
• producing first and second filtered output signals by applying a first filtering coefficient to the first and second demodulated signals, wherein the first filtering coefficient comprises a matrix comprising one or more non-symmetrical terms, wherein producing first and second filtered output signals further comprises applying the one or more generated filtering coefficients to the one or more obtained groups.

An apparatus comprising:

• modulator circuitry configured to modulate a received signal;
• and
• a filter, in communication with the modulator circuitry, configured to perform operations, the operations comprising:
• receiving a first demodulated signal produced by multiplying a first generated signal with the received signal, the first generated signal being of a form cos(wct) with wc being a carrier frequency;
• receiving a second demodulated signal produced by multiplying a second generated signal with the received signal, the second generated signal being of a form α sin(wct−φ), wherein α represents an amplitude mismatch and φ represents a phase mismatch between the first and second generated signals;
• obtaining one or more groups generated from one or more previously received input signals, respectively, wherein each group comprises a first demodulated signal and a second demodulated signal, wherein each previously received input signal comprises two signals that differ in phase;
• generating a filtering coefficient for each obtained group, wherein each generated filtering coefficient comprises a matrix comprising one or more non-symmetrical terms;
• and
• producing first and second filtered output signals by applying a first filtering coefficient to the first and second demodulated signals, wherein the first filtering coefficient comprises a matrix comprising one or more non-symmetrical terms, wherein producing first and second filtered output signals further comprises applying the one or more generated filtering coefficients to the one or more obtained groups.