Abstract

A recursive algorithm is presented for accomplishing maximum likelihood soft syndrome decoding of trellis coded modulation codes. It consists of signal-by- signal hard decoding, followed by a search for the most likely error pattern. An error trellis, alternatively a decoding table, is devised for describing the decoding procedure. Methods for degenerating the error trellis enable identification of the surviving error path by a relatively small number of real additions. In comparison with the Viterbi algorithm, the syndrome decoder achieves substantial reduction in the computational complexity, especially for moderately noisy channels.

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