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A linear receiver for digital communication over unknown dispersive and noisy channels obtained by jointly optimizing the prefilter and equalizer has been described by the authors in a recent paper . An extension to incorporating a decision-feedback equalizer is made. Performance of the new receiver is evaluated by means of computer simulation. Comparison of the performance of the new receiver, the matched filter-equalizer receiver, and the fixed low-pass filter-equalizer receiver is made both with respect to convergence rate and error rate. It is conjectured that the new receiver exhibits performance superior to both the matched filter-equalizer receiver and the fixed low-pass filter-equalizer receiver.