Windowed Octonion Quadratic Phase Fourier Transform: Sharp Inequalities, Uncertainty Principles, and Examples in Signal Processing

In this paper, we define the Windowed Octonion Quadratic Phase Fourier Transform (WOQPFT) and derive its inversion formula, including its essential properties, such as linearity, anti-linearity, parity, scaling, modulation, shifting, and joint time-frequency shifting, as well as its link to Octonion...

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Bibliographic Details
Published in:	IEEE access Vol. 12; pp. 146771 - 146794
Main Authors:	Kumar, Manish, Bhawna
Format:	Journal Article
Language:	English
Published:	IEEE 2024
Subjects:	Algebra Donoho-Stark’s uncertainty principle Fourier transforms Heisenberg’s uncertainty principle Linearity logarithmic uncertainty principle Quantum mechanics Quaternions sharp Hausdorff-young’s inequality sharp Pitt’s inequality Signal analysis Signal resolution Time-frequency analysis Uncertainty Vectors Windowed octonion quadratic phase Fourier transform
ISSN:	2169-3536, 2169-3536
Online Access:	Get full text
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