Patent ID: 7616684

Claim:
A circuit, comprising: a demodulator configured to receive a signal, including an in-phase component of the signal that corresponds to an in-phase component of a time sequence of symbols and an out-of-phase component of the signal that corresponds to an out-of-phase component of the time sequence of symbols, and to output a first equalized version of the in-phase component of the signal in accordance with a first phase value; an equalizer coupled to the demodulator, wherein the equalizer is configured to determine a second equalized version of the in-phase component of the signal in accordance with a second phase value and to determine the in-phase component of the time sequence of symbols; and a first phase sensor coupled to the equalizer, wherein the first phase sensor is configured to determine the second phase value in accordance with the second equalized version of the in-phase component of the signal and the in-phase component of the time sequence of symbols, the first phase sensor is further configured to generate an approximation to the out-of-phase component of the signal in accordance with a Hilbert function of order k greater than 1, and wherein terms in the approximation to the out-of-phase component of the signal that correspond to future samples of the in-phase component of the signal are replaced with terms that correspond to past samples of an error that corresponds to a difference between samples of the in-phase component of the signal and an output from a detector.