Uncertainty principles for random signals

Pei Dang, Chuang Li, Weixiong Mai and Wenliang Pan

Applied Mathematics and Computation, 2023, vol. 444, issue C

Abstract: In this paper, we establish two types of uncertainty principles for random signals. One is based on Heisenberg’s uncertainty principle for deterministic signal, and the other is Donoho and Stark’s uncertainty principle for deterministic signal. Moreover, we can recover missing signals with some probability by using the second type of uncertainty principle.

Keywords: Random signals; Uncertainty principles; Signal recovery; Phase derivative (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:444:y:2023:i:c:s0096300323000024

DOI: 10.1016/j.amc.2023.127833

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