Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series

Authors : Hesham Sharkas

Pages : 403-406

Doi:10.47000/tjmcs.1217379

View : 65 | Download : 41

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :For a periodic function in the form of a finite-length exponential Fourier series (i.e., a discrete finite Fourier transform), this work derives an analytical solution to the definite integral of the fourth power of the function across its periodic interval.
Keywords : Integral of the fourth power of a finite exponential Fourier series, squared error of energies of discrete Fourier transform of two functions, L^4 norm of finite exponential Fourier series