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Sharper --D Heisenberg's Uncertainty Principle | IEEE Journals & Magazine | IEEE Xplore

Sharper N-D Heisenberg's Uncertainty Principle


Abstract:

A sharper uncertainty inequality which exhibits a lower bound tighter than that in the classical N-dimensional Heisenberg's uncertainty principle is obtained. The conditi...Show More

Abstract:

A sharper uncertainty inequality which exhibits a lower bound tighter than that in the classical N-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.
Published in: IEEE Signal Processing Letters ( Volume: 28)
Page(s): 1665 - 1669
Date of Publication: 30 July 2021

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