Uncertainty principles for random signals

•Characteristic feature of quantum mechanical systems holds for random signal.•Heisenberg’s uncertainty principle for random signal.•Donoho and Stark’s uncertainty principle for random signal.•The condition of recovery by uncertainty principle on missing random signal is given. In this paper, we est...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 444; p. 127833
Main Authors Dang, Pei, Li, Chuang, Mai, Weixiong, Pan, Wenliang
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.05.2023
Subjects
Phase derivative
Random signals
Signal recovery
Uncertainty principles
Random signals
Signal recovery
Uncertainty principles
Phase derivative
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Summary:•Characteristic feature of quantum mechanical systems holds for random signal.•Heisenberg’s uncertainty principle for random signal.•Donoho and Stark’s uncertainty principle for random signal.•The condition of recovery by uncertainty principle on missing random signal is given. 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2023.127833