Various generalizations of uncertainty principles related to the linear canonical ambiguity function

Volume 35, Issue 3, pp 256--269 https://dx.doi.org/10.22436/jmcs.035.03.01

Publication Date: May 09, 2024 Submission Date: August 01, 2023 Revision Date: February 11, 2024 Accteptance Date: April 16, 2024

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Authors

M. Bahri - Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia. N. Bachtiar - Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia. A. K. Amir - Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia. S. N. Busrah - Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia.

Abstract

The uncertainty principle is a fundamental result of the Fourier transform and is currently one of the most rapidly developing areas of mathematics due to its application in various transformations. This paper deals with the linear canonical ambiguity function. It combines the classical ambiguity function and the linear canonical transform. We derive in detail various uncertainty principles related to the proposed transformation.

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Keywords

• Linear canonical ambiguity function
• uncertainty principle
• Pitt's inequality
• Matolcsi-Szücs inequality

MSC

•  15A66
•  42B10
•  30G35

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