Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design
Signal Processing
2021-04-27 v1 Information Theory
math.IT
Abstract
This work considers uncertainty relations on time frequency distributions from a signal processing viewpoint. An uncertainty relation on the marginalizable time frequency distributions is given. A result from quantum mechanics is used on Wigner distributions and marginalizable time frequency distributions to investigate the change in variance of time and frequency variables from a signal processing perspective. Moreover, operations on signals which leave uncertainty relations unchanged are studied.
Keywords
Cite
@article{arxiv.2104.12703,
title = {Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design},
author = {Eren Berk Kama and Mustafa Kuzuoğlu},
journal= {arXiv preprint arXiv:2104.12703},
year = {2021}
}
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12 pages