On the role of MMSE estimation in approaching the information-theoretic limits of linear Gaussian channels: Shannon meets Wiener

TL;DR

This paper explores how MMSE estimation is integral to lattice-based schemes that aim to approach the capacity limits of linear Gaussian channels, bridging concepts from Shannon theory and Wiener filtering.

Contribution

It provides insights into the role and properties of MMSE estimation within lattice schemes for capacity approaching in Gaussian channels.

Findings

MMSE estimation is fundamental in lattice-based capacity schemes.

Properties of MMSE estimation influence the efficiency of approaching channel capacity.

The paper connects Shannon's information theory with Wiener filtering through MMSE analysis.

Abstract

We discuss why MMSE estimation arises in lattice-based schemes for approaching the capacity of linear Gaussian channels, and comment on its properties.