Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design

Eren Berk Kama; Mustafa Kuzuoğlu

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arXiv · 2104.12703

Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design

Eren Berk Kama·Mustafa Kuzuoğlu

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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.

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BibTeX RIS

Eren Berk Kama, Mustafa Kuzuoğlu. 2021-04-26. Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design. https://arxiv.org/abs/2104.12703

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