fourier::adft_func Class Reference

Class adft_func contains functions for computing accurate Fourier transforms by adaptive splitting of intervals. More...

#include <fourier.hpp>

Public Types
typedef std::complex< double >	cplx

Public Member Functions
	adft_func ()
void	dft (double w, cplx &result, cplx &err)
	Computes the cubically corrected DFT. More...
template<class function >
void	sample (double w, double a, double b, function &fz, int n, int limit)
	Fourier samples the given function to determine the individual intervals. More...

Detailed Description

Class adft_func contains functions for computing accurate Fourier transforms by adaptive splitting of intervals.

Purpose

Class adft_func contains functions for computing accurate Fourier transform by adaptive splitting of intervals. For computing the integral \(I(\omega) = \int^b_a dt\, e^{i \omega t} f(t)\), cubically corrected DFT (see dft_cplx) is used. From the error estimate of dft_cplx, the integration interval \([a,b]\) can be split further until the error is below a given threshold for all interval.

Definition at line 42 of file fourier.hpp.

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The documentation for this class was generated from the following file:

• fourier.hpp