Abstract: A method and apparatus for removing an echo in a receiver of a full-duplex communication by adjusting the relative gain between the hybrid path and the received signal path, where the transfer function of the load coupling circuit is emulated and then the transmitted signal is subtracted from the combined signal and in another method and apparatus, by employing a digital block for making the hybrid gain setting decision by evaluating the hybrid performance where the total received power, which is the sum of the true received power and the power of the residual echo is measured; such an evaluation results in evaluating each possible hybrid gain setting and deciding on the setting that yields the lowest residual echo power. traditional hybrid circuit may be made adaptive to line conditions by varying its relative gain to the input signal.

Abstract: A method and apparatus for mitigating for inter-symbol interference in a communication system using a multi-rate adaptive decision feedback equalizer (DFE) with a feedforward filter which is a combination of a first feedforward filter (FF1) that performs match filtering and a second feedforward filter (FF2) which runs at a lower sampling rate than first feedforward filter (FF1), thereby, reducing the total the number of computation done at the receiver, and removes ISI and white noise.