16-bit FFT on Arduino

Patgadget:
Oilburner could you post your working code?
Thanks
Patgadget
Montreal

This is the fix_fft.cpp file you can use in the library

#include <avr/pgmspace.h>
#include "fix_fft.h"
#include <WProgram.h>


 #define N_WAVE          256    /* full length of Sinewave[] */
 #define LOG2_N_WAVE     8      /* log2(N_WAVE) */
/*
  Since we only use 3/4 of N_WAVE, we define only
  this many samples, in order to conserve data space.
*/

const prog_int16_t Sinewave[N_WAVE-N_WAVE/4] PROGMEM = {
    0,  402,  803, 1205, 1605, 2005, 2403, 2800, 3196, 3589, 3980, 
	4369, 4755, 5139, 5519, 5896, 6269, 6639, 7004, 7365, 7722, 8075, 
	8422, 8764, 9101, 9433, 9759,10079,10393,10700,11002,11296,11584,
	11865,12139,12405,12664,12915,13158,13394,13621,13841,14052,14254,
	14448,14633,14810,14977,15135,15285,15425,15556,15677,15789,15892,
	15984,16068,16141,16205,16259,16304,16338,16363,16378,16383,16378,
	16363,16338,16304,16259,16205,16141,16068,15984,15892,15789,15677,
	15556,15425,15285,15135,14977,14810,14633,14448,14254,14052,13841,
	13621,13394,13158,12915,12664,12405,12139,11865,11584,11296,11002,
	10700,10393,10079, 9759, 9433, 9101, 8764, 8422, 8075, 7722, 7365, 
	7004, 6639, 6269, 5896, 5519, 5139, 4755, 4369, 3980, 3589, 3196, 
	2800, 2403, 2005, 1605, 1205,  803,  402,    0, -402, -803,-1205,
	-1605,-2005,-2403,-2800,-3196,-3589,-3980,-4369,-4755,-5139,-5519,
	-5896,-6269,-6639,-7004,-7365,-7722,-8075,-8422,-8764,-9101,-9433,
	-9759,-10079,-10393,-10700,-11002,-11296,-11584,-11865,-12139,-12405,
	-12664,-12915,-13158,-13394,-13621,-13841,-14052,-14254,-14448,-14633,
	-14810,-14977,-15135,-15285,-15425,-15556,-15677,-15789,-15892,-15984,
	-16068,-16141,-16205,-16259,-16304,-16338,-16363,-16378
};

/*
  fix_fft() - perform forward/inverse fast Fourier transform.
  fr[n],fi[n] are real and imaginary arrays, both INPUT AND
  RESULT (in-place FFT), with 0 <= n < 2**m; set inverse to
  0 for forward transform (FFT), or 1 for iFFT.
*/

inline int FIX_MPY(int a, int b)
{

    /* shift right one less bit (i.e. 15-1) */
    long c = ((long)a * (long)b) >> 14;
    /* last bit shifted out = rounding-bit */
    b = c & 0x01;
    /* last shift + rounding bit */
    a = (c >> 1) + b;

    return a;
}


int fix_fft(int fr[], int fi[], int m)
{
    int mr, nn, i, j, l, k, istep, n, scale, shift;
    int qr, qi, tr, ti, wr, wi;

    n = 1 << m;

    /* max FFT size = N_WAVE */
    if (n > N_WAVE)
	  return -1;

    mr = 0;
    nn = n - 1;
    scale = 0;

    /* decimation in time - re-order data */
    for (m=1; m<=nn; ++m) {
	  l = n;
	  do 
	  {
		l >>= 1;
	  } while (mr+l > nn);
	  mr = (mr & (l-1)) + l;
	  if (mr <= m)
		continue;
		
	  tr = fr[m];
	  fr[m] = fr[mr];
	  fr[mr] = tr;
	  ti = fi[m];
	  fi[m] = fi[mr];
	  fi[mr] = ti;
    }
	
    l = 1;
    k = LOG2_N_WAVE-1;
    while (l < n) 
	{
	  /*
	    it may not be obvious, but the shift will be
	    performed on each data point exactly once,
	    during this pass.
	  */
	  istep = l << 1;
	  for (m=0; m<l; ++m) 
	  {
		j = m << k;
		/* 0 <= j < N_WAVE/2 */
		wr =  pgm_read_word_near(Sinewave + j+N_WAVE/4);
		wi = -pgm_read_word_near(Sinewave + j);
		wr >>= 1;
		wi >>= 1;
		for (i=m; i<n; i+=istep) 
		{
		    j = i + l;
			//tr = ((long)wr*(long)fr[j] - (long)wi*(long)fi[j])>>15;
			//ti = ((long)wr*(long)fi[j] + (long)wi*(long)fr[j])>>15;
			tr = FIX_MPY(wr,fr[j]) - FIX_MPY(wi,fi[j]);
		    ti = FIX_MPY(wr,fi[j]) + FIX_MPY(wi,fr[j]);
		    qr = fr[i];
		    qi = fi[i];
			qr >>= 1;
			qi >>= 1;
		    fr[j] = qr - tr;
		    fi[j] = qi - ti;
		    fr[i] = qr + tr;
		    fi[i] = qi + ti;
		}
	  }
	  --k;
	  l = istep;
    }
    return scale;
}

AWOL:
Cooley–Tukey FFT algorithm - Wikipedia

That's the algorithm behind the code I'm using :slight_smile: