13

The Fourier Transform

CONTENTS

13.1    Fourier Series of a Periodic Signal

13.2    Complex Numbers and Waves

13.3    Exponential Fourier Series

13.4    Spectral Representations

13.5    Continuous Fourier Transform

13.6    Continuous Fourier Transform Properties*

13.7    Discrete Fourier Transform

13.8    Fast Fourier Transform

13.9    Problems

A single number has more genuine and permanent value than an expensive library full of hypotheses.

Robert J. Mayer, c. 1840.

Image

You have to be odd to be number one.

attributed to Theodor Geisel (Dr. Seuss), late 1900s.

13.1    Fourier Series of a Periodic Signal

Before considering the Fourier series, ...

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