Analytical upper bounds for convolutional coded CPM over rings

Analytical upper bounds on symbol error probability for ring convolutional coded Continuous Phase Modulation (CPM) with Maximum Likelihood Sequence Detection (MLSD) are presented. The constructed bounds for the investigated systems are shown to be asymptotically tight for increasing channel Signal-to-Noise Ratio (SNR) values. This work provides an analysis tool for the investigated systems. The analysis method is very general. It may be applied to any trellis based coding schemes.