期刊
IEEE SIGNAL PROCESSING LETTERS
卷 29, 期 -, 页码 1933-1937出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2022.3203908
关键词
Noise level; Bayes methods; Random variables; Noise measurement; Upper bound; Probability density function; Estimation; Bayesian risk; Cramer-Rao bound; MMSE
资金
- U.S. National Science Foundation [CCF-1849757]
This article analyzes the performance of the Ziv-Zakai bound in the practically relevant high-noise regime and shows that it is not tight in general.
The Ziv-Zakai bound is a well-known lower bound on the minimum mean squared error. This article analyzes the performance of this bound in the practically relevant high-noise regime for a broad family of observation models. The goal is to understand whether this bound is tight, and in which scenarios it should be used. It is shown that, while the Ziv-Zakai bound is tight for a certain class of symmetric distributions, in general, it is not tight in the high-noise regime.
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