Rate-Reliability Tradeoff for Deterministic Identification over Gaussian Channels

TL;DR

This paper analyzes the rate-reliability tradeoff in deterministic identification over general linear Gaussian channels, providing new theoretical insights into continuous-output communication systems and suggesting broader applicability.

Contribution

It extends the rate-reliability analysis of deterministic identification to continuous-output Gaussian channels, a first in this context, with implications for future network performance evaluation.

Findings

First analysis for channels with continuous output

Structural parallels between Gaussian and discrete-output cases

Potential extension to wider classes of continuous channels

Abstract

We extend the recent analysis of the rate-reliability tradeoff in deterministic identification (DI) to general linear Gaussian channels, marking the first such analysis for channels with continuous output. Because DI provides a framework that can substantially enhance communication efficiency, and since the linear Gaussian model underlies a broad range of physical communication systems, our results offer both theoretical insights and practical relevance for the performance evaluation of DI in future networks. Moreover, the structural parallels observed between the Gaussian and discrete-output cases suggest that similar rate-reliability behaviour may extend to wider classes of continuous channels.