On Asymptotic Analysis of Zero-Delay Energy-Distortion Tradeoff Under Additive White Gaussian Noise

TL;DR

This paper investigates the asymptotic energy-distortion tradeoff in zero-delay communication over Gaussian noise, optimizing quantizer design to improve performance beyond traditional source coding approaches.

Contribution

It introduces a high-resolution analysis framework that optimizes the energy-distortion dispersion term, enhancing zero-delay communication efficiency for Gaussian sources.

Findings

Significant gains over naive quantization methods.

Optimization of higher-order distortion terms.

Improved understanding of energy-distortion tradeoff asymptotics.

Abstract

Asymptotic energy-distortion performance of zero-delay communication scenarios under additive white Gaussian noise is investigated. Using high-resolution analysis for quantizer design, the higher-order term in the logarithm of the distortion (termed the {\em energy-distortion dispersion}) is optimized while keeping the leading term (i.e., {\em energy-distortion exponent}) at its optimal value. For uniform and Gaussian sources, significant gains are observed compared to na\"{i}vely performed quantization, i.e., aimed at optimizing the source coding performance instead of the end-to-end distortion in joint source-channel coding.