Rate Adaptive Coded Digital Phase Modulation

TL;DR

This paper introduces a systematic analytical approach to evaluate and design rate adaptive coded digital phase modulation systems using punctured ring convolutional codes, with a focus on symbol error probability bounds.

Contribution

It develops a generalized upper bound on symbol error probability for punctured convolutional coded CPM over rings, applicable to various trellis-based coding schemes.

Findings

Derived an upper bound on symbol error probability for the system.

Provided a systematic analysis method for rate adaptive ring convolutional coded CPM.

The approach is general and applicable to any trellis-based coding scheme.

Abstract

In this paper, rate adaptive coded Digital Phase Modulation (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. This work provides a systematic way to analyze and design the rate adaptive ring convolutional coded CPM systems. The analysis method is very general. It may be applied to any trellis based coding schemes.