Abstract

In this paper, we propose an iterative belief propagation (BP) based equalizer for frequency selective fading channels as an alternative to the typically used maximum a-posteriori (MAP), Viterbi, or soft output Viterbi algorithm (SOVA) based equalizers. The proposed equalizer has a parallel structure unlike the trellis based equalizers and it is less complicated than the MAP equalizer. Via simulations we show that, over frequency selective fading channels, a BP based equalizer achieves the optimal maximum a-posteriori performance, even in the presence of the length 4 cycles. We also discuss the joint decoding of an outer error correcting code and the equalization of the frequency selective fading channel using a joint factor graph and a BP based equalizer.

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