Sharper [Formula Omitted]-D Heisenberg's Uncertainty Principle

Sharper [Formula Omitted]-D Heisenberg's Uncertainty Principle

A sharper uncertainty inequality which exhibits a lower bound tighter than that in the classical [Formula Omitted]-dimensional Heisenberg's uncertainty principle is obtained. The condition that reaches an equality relation of the uncertainty inequality is deduced. Example and simulations are ca...

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Bibliographic Details
Published in:IEEE signal processing letters Vol. 28; p. 1665
Main Authors: Zhang, Zhichao, Shi, Xiya, Wu, Anyang, Li, Dong
Format: Journal Article
Language:English
Published: New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01-01-2021
Subjects:
Lower bounds
Optical communication
Physical optics
Signal processing
Time-frequency analysis
Uncertainty principles
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Summary:A sharper uncertainty inequality which exhibits a lower bound tighter than that in the classical [Formula Omitted]-dimensional Heisenberg's uncertainty principle is obtained. The condition that reaches an equality relation of the uncertainty inequality is deduced. Example and simulations are carried out to illustrate that the newly derived uncertainty principle is truly sharper than the classical one. The new proposal's applications in time-frequency analysis, optical signal processing and physical optics propagation are also given.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2021.3101114