Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory

Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory

The one-dimensional quaternion fractional Fourier transform (1DQFRFT) introduces a fractional-order parameter that extends traditional Fourier transform techniques, providing new insights into the analysis of quaternion-valued signals. This paper presents a rigorous theoretical foundation for the 1D...

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Bibliographic Details
Main Authors: Muhammad Adnan Samad, Yuanqing Xia, Saima Siddiqui, Muhammad Younus Bhat, Didar Urynbassarova, Altyn Urynbassarova
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
quaternion fractional Fourier transform
probability theory
quaternion algebra
characteristic function
stochastic processes
statistical analysis
Online Access:https://www.mdpi.com/2227-7390/13/2/195
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