4. Fourier Transform

By Sadasivan Puthusserypady, Technical University of Denmark, Denmark

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Published: 31 Mar 2021

© 2021 Sadasivan Puthusserypady

Abstract

In Chapter 3, we discussed Fourier series as a tool for frequency-domain representation of periodic signals. But, most of the signals in practical situations/applications are non-periodic (or, aperiodic) in nature. In this chapter, we discuss the representation of non-periodic signals in terms of sinusoids. The resulting frequency-domain representation is known as Fourier transform. Clearly, the Fourier transform approach has much more practical relevance and use compared to Fourier series. As a special case, we also consider periodic signals as well.