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

Yıl 2023, , 403 - 406, 31.12.2023

Hesham Sharkas

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

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

N/A

Proje Numarası

N/A

Teşekkür

Thanks to the God

Kaynakça

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• Sharkas, H., Echigo, H., Beamforming Solutions for Efficient Link Setup and Link Maintenance in mmWave Communication Systems, Master’s Thesis, Lund University, Sweden, 2019.
• Wainger, S., A problem of Wiener and the failure of a principle for Fourier series with positive coefficients, Proceedings of the American Mathematical Society, 20(1)(1969), 16–18.