Derivative of BICM Mutual Information

TL;DR

This paper derives a formula for the derivative of mutual information in BICM systems, linking it to MMSE functions, with applications in wideband analysis and power allocation design.

Contribution

It provides a novel analytical expression for the derivative of BICM mutual information, connecting it to MMSE functions, aiding system analysis and optimization.

Findings

Derivative expressed as a linear combination of MMSE functions

Applications to wideband regime analysis

Facilitates power allocation over parallel channels

Abstract

In this letter we determine the derivative of the mutual information corresponding to bit-interleaved coded modulation systems. The derivative follows as a linear combination of minimum-mean-squared error functions of coded modulation sets. The result finds applications to the analysis of communications systems in the wideband regime and to the design of power allocation over parallel channels.