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arXiv · 2603.14246

Identification for ISI Gaussian Channels

Mohammad Javad Salariseddigh·Christian Deppe
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Abstract

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 $R$ denotes the coding rate.

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Mohammad Javad Salariseddigh, Christian Deppe. 2026-08-31. Identification for ISI Gaussian Channels. https://arxiv.org/abs/2603.14246

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