Identification for ISI Gaussian Channels

Fuente: arXiv
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Auteurs principaux: Salariseddigh, Mohammad Javad, Deppe, Christian
Format: Preprint
Publié: 2026
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author Salariseddigh, Mohammad Javad
Deppe, Christian
author_facet Salariseddigh, Mohammad Javad
Deppe, Christian
contents We establish lower and upper bounds for the identification capacity of discrete-time Gaussian channels subject to inter-symbol interference (ISI), a canonical model in wireless communication. Our analysis accounts for deterministic encoders under peak power constraint. A principal finding is that, even when the number of ISI taps scales sub-linearly with the codeword length $n$ as $\sim n^κ$ with $κ\in [0,1/2),$ the number of messages that can be reliably identified grows super-exponentially in $n$ as $\sim 2^{(n \log n)R},$ where $R$ is the coding rate.
format Preprint
id arxiv_https___arxiv_org_abs_2603_14246
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Identification for ISI Gaussian Channels
Salariseddigh, Mohammad Javad
Deppe, Christian
Information Theory
We establish lower and upper bounds for the identification capacity of discrete-time Gaussian channels subject to inter-symbol interference (ISI), a canonical model in wireless communication. Our analysis accounts for deterministic encoders under peak power constraint. A principal finding is that, even when the number of ISI taps scales sub-linearly with the codeword length $n$ as $\sim n^κ$ with $κ\in [0,1/2),$ the number of messages that can be reliably identified grows super-exponentially in $n$ as $\sim 2^{(n \log n)R},$ where $R$ is the coding rate.
title Identification for ISI Gaussian Channels
topic Information Theory
url https://arxiv.org/abs/2603.14246