Rate Flexible Coded Digital Phase Modulation (DPM) over Rings

In this paper, rate flexible coded DPM schemes based on punctured ring convolutional codes are presented. We first present an upper bound on symbol error probability for punctured convolutional coded Continuous Phase Modulation (CPM) over rings with Maximum Likelihood Sequence Detection (MLSD). The bound is based on the transfer function technique, which is modified and generalized to punctured convolutional codes over rings. The novelty of this paper is the development of the analytical upper bound on the symbol error probability for the investigated system.