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The authors consider prefiltering for a single - carrier transmission over frequency - selective channels, where reduced - state trellis - based equalization is employed at the receiver. While previously proposed prefiltering schemes are based on the optimum filters of Decision Feedback Equalization (DFE), the prefiltering scheme introduced in this paper is designed according to a Signal - to - Interference - plus - Noise Ratio (SINR), whose definition takes into account explicitly the subsequent trellis - based equalizer and its complexity. In addition to the prefilter, a finite - length target impulse response for trellis - based equalization and a feedback filter for state - dependent decision feedback in equalization, respectively, is determined.
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