Generalized Sampling Theory in the Quaternion Domain: A Fractional Fourier Approach

Generalized Sampling Theory in the Quaternion Domain: A Fractional Fourier Approach

The field of quaternions has made a substantial impact on signal processing research, with numerous studies exploring their applications. Building on this foundation, this article extends the study of sampling theory using the quaternion fractional Fourier Transform (QFRFT). We first propose a gener...

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Bibliographic Details
Main Authors: Muhammad Adnan Samad, Yuanqing Xia, Nader Al-Rashidi, Saima Siddiqui, Muhammad Younus Bhat, Huda M. Alshanbari
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
quaternion algebra
fractional bandlimited signal
quaternion fractional Fourier transform
quaternion fractional Fourier filters
generalized sampling expansion
Online Access:https://www.mdpi.com/2504-3110/8/12/748
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