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Engineering Mathematics by C. Vijayakumari, P. Sivaramakrishna Das

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18

Fourier Transforms

18.0 Introduction

We have seen Laplace Transform of f(x) is an integral transform given by

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Laplace transform is the most important integral transform in engineering. From the point of view of applications, the next in order of importance is the Fourier transform. Fourier transform is also an integral transform. Fourier transforms are widely used in the theories of communication engineering, wave propagation, transmission lines, frequency response of a filter, etc.

Fourier series decomposes a periodic function into a discrete set of contributions of various frequencies which are all multiples of the fundamental frequency. ...

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