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...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	IEEE access Jg. 12; S. 146771 - 146794
Hauptverfasser:	Kumar, Manish, Bhawna
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	IEEE 2024
Schlagworte:	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-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Schreiben Sie den ersten Kommentar!