Bit error probability of trellis-coded quadrature amplitude modulation over cross-coupled multidimensional channels.

Convolutionally encoded M-ary quadrature amplitude modulation (M-QAM) systems operated over multidimensional channels, for example dual-polarized radio systems are considered in this paper. We have derived upper bounds on the average bit error probability for 4-QAM (QPSK) with conventional convolutional coding by means of a truncated union bound technique and averaging over the cross-polarization interference by means of the method of moments. By modifying this technique, we have found approximate upper bounds on the average bit error probability for bandwidth efficient trellis-coded QAM systems. This is an extension of our previous work that was based on one dominating error event probability as a performance measure.