Minimum Energy Analysis for Robust Gaussian Joint Source-Channel Coding with a Square-Law Profile

TL;DR

This paper investigates the minimum energy needed for robust Gaussian source transmission over Gaussian channels to meet a specified distortion-noise profile, providing improved bounds and a new coding scheme.

Contribution

It introduces new bounds and a coding scheme for minimum energy transmission of Gaussian sources under a distortion-noise profile.

Findings

Derived tighter lower bounds for energy requirements.

Developed an effective coding scheme matching bounds.

Enhanced understanding of energy-distortion trade-offs.

Abstract

A distortion-noise profile is a function indicating the maximum allowed source distortion value for each noise level in the channel. In this paper, the minimum energy required to achieve a distortion noise profile is studied for Gaussian sources which are transmitted robustly over Gaussian channels. We provide improved lower and upper bounds for the minimum energy behavior of the square-law profile using a family of lower bounds and our proposed coding scheme.