Downloads: 2 | Views: 102 | Weekly Hits: ⮙2 | Monthly Hits: ⮙2
Research Paper | Mathematics | India | Volume 13 Issue 8, August 2024 | Popularity: 4.9 / 10
Convolution Structure of the Fractional Fourier-Laplace Transform
Vidya Sharma, Akash Patalwanshi
Abstract: Fourier related transforms have innumerous application in variety of disciplines not only in engineering sides like signal processing, optics communication but also in music, economics etc. The Fractional Fourier-Laplace transform (FrFLT) which combines the properties of both Fractional Fourier transform (FrFT) and the Laplace transform is a powerful tool in the field of signal processing and mathematical physics, which provides a better understanding of the time-frequency analysis of signals. Also convolution is a powerful way of characterizing the input output relationship of time invariant linear system. Convolution has many applications in image processing, optics, digital data processing, statistics, physics, electrical engineering, probability theory, Fractional calculus etc. In this paper, we propose the convolution structure for the Fractional Fourier-Laplace transform (FrFLT) and prove its convolution theorem.
Keywords: Fourier transform, Laplace transform, Fractional Fourier transform, Fractional Fourier-Laplace transform, signal processing
Edition: Volume 13 Issue 8, August 2024
Pages: 1599 - 1602
Make Sure to Disable the Pop-Up Blocker of Web Browser
Similar Articles
Downloads: 0
Student Project, Mathematics, Saudi Arabia, Volume 11 Issue 10, October 2022
Pages: 439 - 443Some New Applications of Sumudu Transform for Solution of Linear Volterra Type Integral Equations
Eltaib M Abd Elmohmoud
Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Analysis Study Research Paper, Mathematics, India, Volume 11 Issue 12, December 2022
Pages: 1073 - 1074Study on Modified Unit Step Function and Solution of Trigonometric and Logarithmic Function Using Laplace Transform
Yadav Saiganesh R., Dr. R. N. Ingle
Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Mathematics, India, Volume 12 Issue 3, March 2023
Pages: 560 - 565The Consequence of Thermal Diffusion on an MHD Flow with Free Convection Past an Upright Plate in Connection with Ramped Wall Temperature and Concentration
Boboi
Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Mathematics, India, Volume 13 Issue 5, May 2024
Pages: 1188 - 1191Mohand Transform for Solution of Integral Equations and Abel's Equation
Naresh Parkala, Upender Reddy Gujjula
Downloads: 25 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Mathematics, Nepal, Volume 10 Issue 1, January 2021
Pages: 1616 - 1618Analytical Solution of an Advection Dispersion Equation for the Water Pollutant Concentration
Prem Sagar Bhandari