Discretized Density Evolution for Rate Compatible Modulation : Invited Presentation

In this paper, we develop, for the first time in the literature, a Density Evolution analysis of Rate Compatible Modulation (RCM), which is challenging due to the way symbols in RCM are generated as weighted sums of the input bits. We consider uniform and non-uniform memoryless binary sources. By allowing the weights to be real numbers, rather than integers as in previous work, we propose, for the first time in the literature, an optimization procedure that automatically obtains the weights of the RCM scheme for a desired source entropy, signal to noise ratio, and information rate.