
02032020, 08:22 AM

#1

Human being with feelings
Join Date: Oct 2019
Location: Sayan Mountains, Siberia
Posts: 17

How to use the WDL FFT library?
Unfortunately, I did not find any documentation and user manuals for the WDL FFT library. I tried the simplest conversion of the signal to the spectrum and vice versa, having previously applied the window function, but in the resulting array there were unreal numbers (NAN).
I suspect that such a transformation requires some feature that I do not know about. However, at the very beginning of working with the library, it called the library initialization function WDL_fft_init();
Can I see somewhere a simple working example of using this FFT library (namely, the implementation of a bandpass filter is of interest)?
Or be able to view user manuals or documentation for this library.
Thanks!



02042020, 04:52 AM

#2

Human being with feelings
Join Date: Oct 2019
Location: Sayan Mountains, Siberia
Posts: 17

No one knows?
Some libraries have this order of data output after FFT:
f  pointer on the destination array (frequencies),
where f [0...length(x)/2] = real values,
and f [length(x)/2+1...length(x)1] = imaginary values.
However, nothing is said about this in a brief annotation to this library.
Other thoughts?



02042020, 05:18 AM

#3

Human being with feelings
Join Date: Jul 2008
Location: The Netherlands
Posts: 3,085

Here is some code that takes the "real" FFT, and then prints magnitude and phase for each bin. I hope this helps.
Code:
#include <math.h>
#include <stdio.h>
#include "WDL/fft.h"
int main()
{
WDL_fft_init();
const double srate = 44100.0;
static const int len = 1024;
WDL_FFT_REAL buf[len];
// Fill buf[] with test signal.
for (int i = 0; i < len; ++i)
{
const double t = (double)i / len;
const double saw = 2*t  1;
buf[i] = (WDL_FFT_REAL)saw;
}
// Forward FFT
WDL_real_fft(buf, len, 0);
// Scale after forward FFT.
for (int i = 0; i < len; ++i)
{
buf[i] /= (WDL_FFT_REAL)len;
}
// Bins are stored out of order, so use permutation table to fix.
const int* order = WDL_fft_permute_tab(len / 2);
printf("Bin\tFrequency\tMagnitude\tPhase\n");
for (int i = 0; i <= len / 2; ++i)
{
WDL_FFT_COMPLEX* bin = (WDL_FFT_COMPLEX*)buf + order[i];
double re, im;
if (i == 0)
{
// DC (0 Hz)
re = bin>re;
im = 0.0;
}
else if (i == len / 2)
{
// Nyquist frequency
re = buf[1]; // i.e. DC bin>im
im = 0.0;
}
else
{
re = bin>re;
im = bin>im;
}
const double mag = sqrt(re*re + im*im);
const double phase = atan2(im, re);
const double freq = (double)i / len * srate;
printf("%d\t%f\t%f\t%f\n", i, freq, mag, phase);
}
// Inverse FFT
WDL_real_fft(buf, len, 1);
// Scale after inverse FFT.
for (int i = 0; i < len; ++i)
{
buf[i] *= (WDL_FFT_REAL)0.5;
}
// Now we're back to original test signal.
}
Last edited by Tale; 02042020 at 05:31 AM.
Reason: Typo in comment



02052020, 07:54 AM

#4

Human being with feelings
Join Date: Oct 2019
Location: Sayan Mountains, Siberia
Posts: 17

Quote:
Originally Posted by Tale
Here is some code that takes the "real" FFT, and then prints magnitude and phase for each bin. I hope this helps.

Thanks!
That way everything works. However, if I want to change the type of data as double precision, then I declare at the very beginning:
Code:
#define WDL_FFT_REALSIZE 8
The result is a significant discrepancy between the results, which are completely unacceptable.
Or is this algorithm not intended for double precision numbers?



02052020, 08:33 AM

#5

Human being with feelings
Join Date: Jul 2008
Location: The Netherlands
Posts: 3,085

Quote:
Originally Posted by vasyan
However, if I want to change the type of data as double precision, then I declare at the very beginning:
Code:
#define WDL_FFT_REALSIZE 8
The result is a significant discrepancy between the results, which are completely unacceptable.
Or is this algorithm not intended for double precision numbers?

I think the problem is that you're now compiling your source file with WDL_FFT_REALSIZE == 8, but you're still compiling fft.c with WDL_FFT_REALSIZE == 4. It would therefore be better to define WDL_FFT_REALSIZE at the project level, so all source files use the same settings.



02062020, 05:00 AM

#6

Human being with feelings
Join Date: Oct 2019
Location: Sayan Mountains, Siberia
Posts: 17

Quote:
Originally Posted by Tale
I think the problem is that you're now compiling your source file with WDL_FFT_REALSIZE == 8, but you're still compiling fft.c with WDL_FFT_REALSIZE == 4. It would therefore be better to define WDL_FFT_REALSIZE at the project level, so all source files use the same settings.

Yes, you're right, I had to explicitly set the type in the fft.h file
Code:
typedef double WDL_FFT_REAL;
then everything began to work perfectly.
Thank you for the consultation, you simply provided invaluable assistance in solving the problem!



02062020, 07:11 AM

#7

Human being with feelings
Join Date: Jul 2008
Location: The Netherlands
Posts: 3,085

Quote:
Originally Posted by vasyan
Yes, you're right, I had to explicitly set the type in the fft.h file
Code:
typedef double WDL_FFT_REAL;
then everything began to work perfectly.

Yeah, that should work. Do note that it might be more convenient add "WDL_FFT_REALSIZE=8" to your project settings or makefile. That way you don't have to edit fft.h.
Quote:
Originally Posted by vasyan
Thank you for the consultation, you simply provided invaluable assistance in solving the problem!

You're welcome.



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