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Finite-Block Random-Waveform Ziv–Zakai and Weiss–Weinstein Bounds for MIMO ISAC

2026 · IEEE Communications Letters · Vol 30, pp. 3698-3702 · 0 citations · 20 references

TL;DR

Simulations compare both bounds with estimators, include two ordered targets, and pair finite-block sensing bounds with asymptotic rate, and pair finite-block sensing bounds with asymptotic rate.

Abstract

For the known-parameter or full-parameter Gaussian mean-shift sensing model, this letter derives finite-block Ziv–Zakai (ZZB) and Weiss–Weinstein (WWB) bounds for multiple-input multiple-output integrated sensing and communications. Averaging the observed random Gaussian waveform yields deterministic determinant kernels and a complete WWB. At fixed blocklength and increasing signal-to-noise ratio (SNR), the scalar local ZZB approaches the waveform-averaged inverse Fisher information. Its high-SNR relative gap from the inverse mean information vanishes with blocklength. Simulations compare both bounds with estimators, include two ordered targets, and pair finite-block sensing bounds with asymptotic rate.

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