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Stationary phase approximation for performing Fourier Transforms

by Adam Wyatt

31 Jul 2008 (Updated 01 Aug 2008)

Code covered by BSD License

Performs a Fourier Transform of a function using the stationary phase approximation

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Description

This function allows one to calculate the Fourier transform of a chirped function evaluated at specific points using the stationary phase approximation.

Imagine a pulse with a large time-bandwidth produce: this would require a large amount of data points in order to evaluate the Fourier transform. Lets imagine that you only needed to know the FT at specific points, or over a limited range, then clearly a DFT (FFT) would result in unwanted calculations and may not be possible due to memory constraints. Proper use of this function can result in a dramatic reduction in calculation time and memory requirements.

MATLAB release

MATLAB 7.6 (R2008a)

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Everyone's Tags	fourier transform, integration, stationary phase approximation, timebandwidth
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Tag Activity for this File
Tag	Applied By	Date/Time
integration	Adam Wyatt	22 Oct 2008 10:12:41
stationary phase approximation	Adam Wyatt	22 Oct 2008 10:12:41
fourier transform	Adam Wyatt	22 Oct 2008 10:12:41
timebandwidth	Adam Wyatt	22 Oct 2008 10:12:41

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