Convolution One Dimensional Continuous Function on Fourier Series Expansion

Gani Gunawan; Respitawulan Respitawulan; Fariz Fahmi Fikri

doi:10.24198/jmi.v22.n1.70224.83-90

Convolution One Dimensional Continuous Function on Fourier Series Expansion

Gani Gunawan, Respitawulan Respitawulan, Fariz Fahmi Fikri

Abstract

Convolution is an operation that involves two functions that can be used to transform a continuous input signal at every point in its domain so that a smooth output signal is produced at every point in the domain interval [1],[2]. But what happens when the convolution operation is applied to a function that is expanded through a Fourier series. The series is a series with a basis of differentiable functions, and how to perform convolutions that are expanded through the Fourier series. In this article, we will show a discussion to determine the product of the convolution function on the expansion of the Fourier series and the results obtained. Convolution One Dimensional ContinuousFunction on Fourier Series Expansion

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DOI: https://doi.org/10.24198/jmi.v22.n1.70224.83-90