9. Fourier Spectra of Discrete-Time Signals

By Sadasivan Puthusserypady, Technical University of Denmark, Denmark

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Published: 31 Mar 2021

© 2021 Sadasivan Puthusserypady

Abstract

The Discrete Time Fourier Transform (DTFT), a member of the Fourier transform family, is often used to analyze samples of analog aperiodic signals. From discrete samples, DTFT produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original analog signals. As we will see, DTFT is a continuous function of frequency, and a discrete version of it is the discrete Fourier transform (DFT), which will be discussed in detail in a later chapter.