Properties of Fourier Cosine and Sine Transforms

Abstract

The time and frequency domains are alternative ways of representing signals. The Fourier transform is the mathematical relationship between these two representations. These transformations are of interest mainly as tools for solving ODEs, PDEs and integral equations, and they often also help in handling and applying special functions [8,9]. In this article, I have outlined the main features of properties of Fourier cosine and sine Transforms. These properties demand the implementation of representation of a function in integral form, known as Fourier cosine and sine transforms. The purpose of this paper is to provide a brief representation any function in integral form, Fourier cosine and sine transforms, after multiplying the given function by power functions;