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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| Published in: | IEEE signal processing letters Vol. 28; p. 1665 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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New York
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
01-01-2021
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Zhang, Zhichao Li, Dong Wu, Anyang Shi, Xiya |
| Author_xml | – sequence: 1 givenname: Zhichao surname: Zhang fullname: Zhang, Zhichao – sequence: 2 givenname: Xiya surname: Shi fullname: Shi, Xiya – sequence: 3 givenname: Anyang surname: Wu fullname: Wu, Anyang – sequence: 4 givenname: Dong surname: Li fullname: Li, Dong |
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| DOI | 10.1109/LSP.2021.3101114 |
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| Snippet | A sharper uncertainty inequality which exhibits a lower bound tighter than that in the classical [Formula Omitted]-dimensional Heisenberg's uncertainty... |
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| SubjectTerms | Lower bounds Optical communication Physical optics Signal processing Time-frequency analysis Uncertainty principles |
| Title | Sharper [Formula Omitted]-D Heisenberg's Uncertainty Principle |
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