📄 fft.h
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/********************************************************************** FFT.h Dominic Mazzoni September 2000 This file contains a few FFT routines, including a real-FFT routine that is almost twice as fast as a normal complex FFT, and a power spectrum routine which is more convenient when you know you don't care about phase information. It now also contains a few basic windowing functions. Some of this code was based on a free implementation of an FFT by Don Cross, available on the web at: http://www.intersrv.com/~dcross/fft.html The basic algorithm for his code was based on Numerical Recipes in Fortran. I optimized his code further by reducing array accesses, caching the bit reversal table, and eliminating float-to-double conversions, and I added the routines to calculate a real FFT and a real power spectrum. Note: all of these routines use single-precision floats. I have found that in practice, floats work well until you get above 8192 samples. If you need to do a larger FFT, you need to use doubles.**********************************************************************/#ifndef M_PI#define M_PI 3.14159265358979323846 /* pi */#endif/* * This is the function you will use the most often. * Given an array of floats, this will compute the power * spectrum by doing a Real FFT and then computing the * sum of the squares of the real and imaginary parts. * Note that the output array is half the length of the * input array, and that NumSamples must be a power of two. */void PowerSpectrum(int NumSamples, float *In, float *Out);/* * Computes an FFT when the input data is real but you still * want complex data as output. The output arrays are half * the length of the input, and NumSamples must be a power of * two. */void RealFFT(int NumSamples, float *RealIn, float *RealOut, float *ImagOut);/* * Computes a FFT of complex input and returns complex output. * Currently this is the only function here that supports the * inverse transform as well. */void FFT(int NumSamples, bool InverseTransform, float *RealIn, float *ImagIn, float *RealOut, float *ImagOut);/* * Applies a windowing function to the data in place * * 0: Rectangular (no window) * 1: Bartlett (triangular) * 2: Hamming * 3: Hanning */void WindowFunc(int whichFunction, int NumSamples, float *data);/* * Returns the name of the windowing function (for UI display) */const char *WindowFuncName(int whichFunction);/* * Returns the number of windowing functions supported */int NumWindowFuncs();
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