Shannon meets Wiener II: On MMSE estimation in successive decoding schemes

TL;DR

This paper explores the role of MMSE estimation in successive decoding schemes like decision-feedback equalization and successive cancellation within linear Gaussian channels, extending previous discussions on capacity-approaching coding schemes.

Contribution

It provides a theoretical analysis of MMSE estimation's emergence in successive decoding schemes for Gaussian channels, building on prior work on capacity-approaching codes.

Findings

MMSE estimation naturally arises in successive decoding schemes.

The analysis clarifies the connection between MMSE and capacity-achieving strategies.

Insights into the design of decoding algorithms for Gaussian channels.

Abstract

We continue to discuss why MMSE estimation arises in coding schemes that approach the capacity of linear Gaussian channels. Here we consider schemes that involve successive decoding, such as decision-feedback equalization or successive cancellation.