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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Vydané v:	IEEE access Ročník 12; s. 146771 - 146794
Hlavní autori:	Kumar, Manish, Bhawna
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	IEEE 2024
Predmet:	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
On-line prístup:	Získať plný text
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