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

Year 2023, Volume: 15 Issue: 2, 403 - 406, 31.12.2023

Hesham Sharkas

https://doi.org/10.47000/tjmcs.1217379

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

Supporting Institution

N/A

Project Number

N/A

Thanks

Thanks to the God

References

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