Disclosed is a hardware arrangement for equalizing waveform distortion caused by multipath fading in a digital radio communications system, which hardware arrangement uses a recursive least-squares algorithm into which a forgetting factor is introduced. An incoming signal (PSK signal for example) is applied to an automatic gain controller which generates a first signal whose value varies with a signal-to-noise ratio of the incoming signal. A forgetting factor controller is coupled to the automatic gain controller to receive the first signal and generates the forgetting factor the value of which varies with the value of the first signal. An adaptive equalizer receives the incoming signal and the forgetting factor. The adaptive equalizer equalizes the waveform distortion using the forgetting factor according to the recursive least- squares algorithm.
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