A Variation on Inequality for Quaternion Fourier Transform, Modified Convolution and Correlation Theorems for General Quaternion Linear Canonical Transform

A Variation on Inequality for Quaternion Fourier Transform, Modified Convolution and Correlation Theorems for General Quaternion Linear Canonical Transform

The quaternion linear canonical transform is an important tool in applied mathematics and it is closely related to the quaternion Fourier transform. In this work, using a symmetric form of the two-sided quaternion Fourier transform (QFT), we first derive a variation on the Heisenberg-type uncertaint...

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Bibliographic Details
Main Authors: Mawardi Bahri, Samsul Ariffin Abdul Karim
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Symmetry
Subjects:
uncertainty principle
general quaternion linear canonical transform
convolution
correlation
generalized swept-frequency filters
Fourier transform
Online Access:https://www.mdpi.com/2073-8994/14/7/1303

Internet

https://www.mdpi.com/2073-8994/14/7/1303

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