esc

Type at least two characters to start searching.

↑↓ select↵ openesc close

Share

Export Citation

APA
MLA
Chicago
Harvard
Vancouver
BIBTEX
RIS
Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

Coupled Fractional Fourier Transform: Properties and Uncertainty Principle

Bahri M.

Journal of the Indonesian Mathematical Society

Q4
Published: 2026Citations: 1

Abstract

The coupled fractional Fourier transform is a general form of the fractional Fourier transform. In the present work, we demonstrate basic properties of the proposed transformation, such as linearity, shifting and modulation. We also propose convolution and correlation theorems and then explore a generalized uncertainty principle for the coupled fractional Fourier transform. These crucial results are modifications of the corresponding properties pertaining to the fractional Fourier transform and the conventional Fourier transform.

Access to Document

10.22342/jims.v32i2.1961

Other files and links

Fingerprint

MathematicsSciences
Fourier transformSciences
Convolution (computer science)Sciences
Discrete-time Fourier transformSciences
Fractional Fourier transformSciences
Mathematical analysisSciences
Fourier seriesSciences
Fourier inversion theoremSciences
Fourier analysisSciences
Uncertainty principleSciences
Discrete Fourier transform (general)Sciences
Fractional calculusSciences
Sine and cosine transformsSciences
Applied mathematicsSciences
Phase correlationSciences
Fourier transform on finite groupsSciences
Discrete Fourier seriesSciences
Convolution theoremSciences