Trellis Coded 16‐QAM for Fading Channels

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Abstract
Fast growth in digital communications leads to increasing needs for high data transmission rates. Such needs can be met by bandwidth efficient modulation schemes. In this paper, a trellis coded. 16‐QAM scheme over flat fading channels is considered. Through analysis, new bounds on error rate performance of the scheme are derived. A set of new criteria for code design based on these bounds are formulated and used to construct new trellis 16‐QAM codes for fading channels. One of the key parameters in code design is the minimum product distance. An algorithm for computing the minimum product distance and its multiplicity is proposed. The algorithm is applied in search for optimum trellis codes. The performance of 16‐QAM TCM schemes with ideal channel state information (CSI) on Rayleigh fading channels is evaluated by simulation. The results show the proposed codes achieve significant improvements relative to the best known 16‐QAM modulation codes as well as 16‐PSK codes.

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