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MATLAB Mathematics - SERC - Index of

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3<br />

Fast Fourier Transform<br />

(FFT)<br />

Introduction (p. 3-2)<br />

Magnitude and Phase <strong>of</strong> Transformed<br />

Data (p. 3-7)<br />

FFT Length Versus Speed (p. 3-9)<br />

Function Summary (p. 3-10)<br />

Introduces Fourier transform analysis with an example<br />

about sunspot activity<br />

Calculates magnitude and phase <strong>of</strong> transformed data<br />

Discusses the dependence <strong>of</strong> execution time on length <strong>of</strong> the<br />

transform<br />

Summarizes the Fourier transform functions<br />

The fast Fourier transform (FFT) is an efficient algorithm for computing the<br />

discrete Fourier transform (DFT) <strong>of</strong> a sequence; it is not a separate transform.<br />

It is particularly useful in areas such as signal and image processing, where its<br />

uses range from filtering, convolution, and frequency analysis to power<br />

spectrum estimation.

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