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.
The present invention also employs a method and apparatus where the initial training
is done separately for the first feedforward filter (FF1) and the second
feedforward filter (FF2). An approximate solution of the optimal receiver
has the first feedforward filter (FF1) maximize the output signal to noise
ratio (SNR) which is used to train first feedforward filter (FF1).