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Chapter

Fourier Transform

Chapter

Fourier Transform

DOI link for Fourier Transform

Fourier Transform book

Fourier Transform

DOI link for Fourier Transform

Fourier Transform book

ByAlex Palamides, Anastasia Veloni
BookSignals and Systems Laboratory with MATLAB

Click here to navigate to parent product.

Edition 1st Edition
First Published 2011
Imprint CRC Press
Pages 26
eBook ISBN 9780429065644

ABSTRACT

In Chapter 5, we introduced how a periodic signal defined for /< t</ or a signal defined in a closed time interval a t b can be expanded in a Fourier series, i.e., how it can be expressed as a linear combination of infinite sinusoidal signals. The Fourier series expansion reveals the frequency content of a signal. In this chapter, we introduce a generalized concept that expresses in the frequency domain (almost), any signal defined in the time domain for /< t</. The Fourier transform is the way to express in the frequency domain a signal that is given in the time domain. In this chapter, we discuss the Fourier transform of continuous-time signals, which is known as continuoustime Fourier transform (CTFT). By applying Fourier transform to a continuous-time signal x(t), we obtain a representation of the signal at the cyclic frequency domain V or equivalently at the frequency domain, f.

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