Abstract

Computational techniques for the evaluation of error probability of schemes based on binary lattices and multilevel coding stem from the representation of a binary lattice in the form of a trellis whose structure depends on the block codes on which the lattice is based. Multilevel coded-modulation schemes can also be described through a trellis; by combining with this the trellis structure of the lattice constellation, the authors obtain a single trellis that can be used for maximum-likelihood decoding using the Viterbi algorithm and for computing the error probability. A union upper bound is obtained from the transfer function of the trellis with suitable labels, and is applicable to both maximum-likelihood and staged decoding. >

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