Abstract: Methods, apparatuses, and systems are presented for performing adaptive equalization involving receiving a signal originating from a channel associated with inter-symbol interference, filtering the signal using a filter having a plurality of adjustable tap weights to produce a filtered signal, and adaptively updating each of the plurality of adjustable tap weights to a new value to reduce effects of inter-symbol interference, wherein each of the plurality of adjustable tap weights is adaptively updated to take into account a constraint relating to a measure of error in the filtered signal and a constraint relating to group delay associated with the filter. Each of the plurality of adjustable tap weights may be adaptively updated to drive group delay associated with the filter toward a target group delay.

Abstract: Methods, apparatuses, and systems are presented for performing channel equalization involving receiving a signal from a channel associated with inter-symbol interference (ISI), providing the received signal to an LCR network comprising a plurality of inductors and a plurality of capacitors, generating in the LCR network a first plurality of intermediate signals representing voltages associated with capacitors in the LCR network and a second plurality of intermediate signals representing currents associated with inductors in the LCR network, wherein the first plurality and second plurality of intermediate signals correspond to application of linearly independent impulse responses to the received signal, applying a corresponding one of a plurality of multiplier factors to each of the first plurality and second plurality of intermediate signals, and generating from the LCR network a resulting signal corresponding to an equalized version of the received signal.

Abstract: Methods, apparatuses, and systems are presented for performing channel equalization comprising receiving a signal from a channel associated with inter-symbol interference, processing the received signal to effectively apply a plurality of linearly independent impulse responses to the received signal to produce a plurality of intermediate signals, scaling each of the intermediate signals by each of a plurality of multiplier factors to produce a plurality of scaled signals, and combining the scaled signals to produce a resulting signal corresponding to an equalized version of the received signal in order to reduce effects of inter-symbol interference.