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Multidimensional M-PSK trellis codes for fading channels

Multidimension modulation has been observed to have advantages over 2-dimensional schemes and therefore has become an important research topic. This paper investigates the code search problem for trellis-coded multidimensional phase modulation for fading channels. New set partitionings for 16 Phase-Shift Keying (16-PSK) are proposed using the effective code length (ECL) and the minimum product distance (PD) as the code design criteria. The proposed codes compare favourably with the existing multidimensional trellis codes for fading channels in terms of error rate performance. The error rate performance is evaluated using Monte Carlo simulation.