The minimality of mean square error in chirp approximation using fractional fourier series and fractional fourier transform

Abstract Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes. Detecting chirp oscillating patterns by traditional Fourier series is challenging because the chirp frequencies constantly change over time...

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Bibliographic Details
Main Authors: Omar T. Bafakeeh, Muhammad Yasir, Ali Raza, Sami Ullah Khan, R. Naveen Kumar, M. Ijaz Khan, Deyab A. Almaleki, Nidhal Ben Khedher, Sayed M. Eldin, Ahmed M. Galal
Format: Article
Language:English
Published: Nature Portfolio 2022-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-23560-8