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openair1/PHY/TOOLS/FFTTEST/COPYING
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GNU GENERAL PUBLIC LICENSE
Version 2, June 1991
Copyright (C) 1989, 1991 Free Software Foundation, Inc.
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Everyone is permitted to copy and distribute verbatim copies
of this license document, but changing it is not allowed.
Preamble
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END OF TERMS AND CONDITIONS
How to Apply These Terms to Your New Programs
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<one line to give the program's name and a brief idea of what it does.>
Copyright (C) <year> <name of author>
This program is free software; you can redistribute it and/or modify
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Also add information on how to contact you by electronic and paper mail.
If the program is interactive, make it output a short notice like this
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Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
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The hypothetical commands `show w' and `show c' should show the appropriate
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You should also get your employer (if you work as a programmer) or your
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Yoyodyne, Inc., hereby disclaims all copyright interest in the program
`Gnomovision' (which makes passes at compilers) written by James Hacker.
<signature of Ty Coon>, 1 April 1989
Ty Coon, President of Vice
This General Public License does not permit incorporating your program into
proprietary programs. If your program is a subroutine library, you may
consider it more useful to permit linking proprietary applications with the
library. If this is what you want to do, use the GNU Library General
Public License instead of this License.
openair1/PHY/TOOLS/FFTTEST/Makefile
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CC = gcc-4
TOP_DIR = ../../..
CFLAGS = -Wall -O2 -fno-common -mpreferred-stack-boundary=4 -DNODE_RG -DUSER_MODE -DPC_TARGET -DPC_DSP -DNB_ANTENNAS_RX=2 -DNB_ANTENNAS_TXRX=2 -DNB_ANTENNAS_TX=2 -DMAX_MODULES=1 -DPHY_CONTEXT=1 -DBIT8_TXMUX -DBIT8_TX -g -msse2 -mmmx -msse
PHY_OBJS +=$(TOP_DIR)/PHY/TOOLS/fft.o $(TOP_DIR)/SIMULATION/TOOLS/rangen_double.o $(TOP_DIR)/SIMULATION/TOOLS/taus.o $(TOP_DIR)/PHY/TOOLS/file_output.o
OBJ = $(PHY_OBJS)
all: ffttest
$(OBJ) : %.o : %.c
$(CC) -c $(CFLAGS) -Wall -I$(TOP_DIR) -o $@ $<
ffttest: $(OBJ) ffttest.c
$(CC) ffttest.c -I$(TOP_DIR) -o ffttest $(CFLAGS) $(PHY_OBJS) -lm
clean:
rm -f $(TOP_DIR)/PHY/TOOLS/*.o
rm -f $(TOP_DIR)/SIMULATION/TOOLS/*.o
rm -f ffttest
rm -f *.m
openair1/PHY/TOOLS/FFTTEST/ffttest.c
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <sys/time.h>
#include "PHY/defs.h"
#include "PHY/TOOLS/defs.h"
#include "PHY/TOOLS/twiddle64.h"
#include "PHY/TOOLS/twiddle256.h"
#include "PHY/TOOLS/twiddle1024.h"
#include "PHY/TOOLS/twiddle4096.h"
#define PI 3.14159265359
#define MAXPOW 24
extern double gaussdouble(double,double);
extern unsigned int taus();
extern void randominit();
int pow_2[MAXPOW];
int pow_4[MAXPOW];
void twiddle(struct complex *W, int N, double stuff)
{
W->r=cos(stuff*2.0*PI/(double)N);
W->i=-sin(stuff*2.0*PI/(double)N);
}
void bit_r4_reorder(struct complex *W,// Final output
int N) // size of FFT
{
int bits=0, i, j, k;
double tempr, tempi;
for (i=0; i<MAXPOW; i++)
if (pow_2[i]==N) bits=i;
for (i=0; i<N; i++)
{
j=0;
for (k=0; k<bits; k+=2)
{
if (i&pow_2[k]) j+=pow_2[bits-k-2];
if (i&pow_2[k+1]) j+=pow_2[bits-k-1];
}
if (j>i) /** Only make "up" swaps */
{
tempr=W[i].r;
tempi=W[i].i;
W[i].r=W[j].r;
W[i].i=W[j].i;
W[j].r=tempr;
W[j].i=tempi;
}
}
}
/** RADIX-4 FFT ALGORITHM */
/* Double precision*/
void radix4(struct complex *x, int N)
{
int n2, k1, N1, N2;
struct complex W, bfly[4];
N1=4;
N2=N/4;
/** Do 4 Point DFT */
for (n2=0; n2<N2; n2++)
{
/** Radix 4 butterfly */
bfly[0].r = (x[n2].r + x[N2 + n2].r + x[2*N2+n2].r + x[3*N2+n2].r);
bfly[0].i = (x[n2].i + x[N2 + n2].i + x[2*N2+n2].i + x[3*N2+n2].i);
bfly[1].r = (x[n2].r + x[N2 + n2].i - x[2*N2+n2].r - x[3*N2+n2].i);
bfly[1].i = (x[n2].i - x[N2 + n2].r - x[2*N2+n2].i + x[3*N2+n2].r);
bfly[2].r = (x[n2].r - x[N2 + n2].r + x[2*N2+n2].r - x[3*N2+n2].r);
bfly[2].i = (x[n2].i - x[N2 + n2].i + x[2*N2+n2].i - x[3*N2+n2].i);
bfly[3].r = (x[n2].r - x[N2 + n2].i - x[2*N2+n2].r + x[3*N2+n2].i);
bfly[3].i = (x[n2].i + x[N2 + n2].r - x[2*N2+n2].i - x[3*N2+n2].r);
/** In-place results */
for (k1=0; k1<N1; k1++)
{
twiddle(&W, N, (double)k1*(double)n2);
x[n2 + N2*k1].r = bfly[k1].r*W.r - bfly[k1].i*W.i;
x[n2 + N2*k1].i = bfly[k1].i*W.r + bfly[k1].r*W.i;
}
}
/** Don't recurse if we're down to one butterfly */
if (N2!=1)
for (k1=0; k1<N1; k1++)
{
radix4(&x[N2*k1], N2);
}
}
void QAM_input(struct complex *data,double amp,int N,int Nu,char M) {
int i,rv;
int FCO = (N-(Nu>>1)); // First non-zero carrier offset
for (i=0;i<N;i++) {
data[i].r = 0.0;
data[i].i = 0.0;
}
for (i=0;i<Nu;i++) {
rv = taus();
switch (M) {
case 0 : // QPSK
data[(i+FCO)%N].r = ((rv&1) ? -amp : amp)/sqrt(2.0);
data[(i+FCO)%N].r = (((rv>>1)&1) ? -amp : amp)/sqrt(2.0);
break;
case 1 : // 16QAM
data[(i+FCO)%N].r = (2*(rv&3) - 3)*amp/sqrt(10);
data[(i+FCO)%N].i = (2*((rv>>2)&3) - 3)*amp/sqrt(10);
break;
default:
break;
}
}
}
void fft_distortion_test(int N, // dimension of FFT under test
char test, // type of test
double input_dB, // strength of input
struct complex *data, // pointer to floating point data vector
struct complex16 *data16, // pointer to Q15 data vector
struct complex16 *data16_out,
unsigned short *rev) // pointer to Q15 data vector
{
double mean_in=0.0,mean_error=0.0,SNR;
int i;
short *twiddle;
unsigned char log2N,log2N_over2;
srand(1);
randominit();
for (i=0; i<N; i++)
{
data[i].r=0.0;
data[i].i=0.0;
data16[i].r=0;
data16[i].i=0;
}
switch (test) {
case 0: /** Generate complex exponential **/
for (i=0; i<N; i++){
data[i].r=pow(10,.05*input_dB)*cos(2.0*PI*.1*i);
data[i].i=pow(10,.05*input_dB)*sin(2.0*PI*.1*i);
}
break;
case 1: // QPSK
QAM_input(data,pow(10,.05*input_dB),N,N,0);
break;
case 2: // 16-QAM
QAM_input(data,pow(10,.05*input_dB),N,N,1);
break;
case 3: /** Generate cosine **/
for (i=0; i<N; i++) {
data[i].r=sqrt(.5)*pow(10,.05*input_dB)*gaussdouble(0.0,1.0);
data[i].i=sqrt(.5)*pow(10,.05*input_dB)*gaussdouble(0.0,1.0);
}
break;
default:
break;
}
// Make fixed-point versions of data
for (i=0;i<N;i++) {
data16[i].r = (short)(data[i].r*32767);
data16[i].i = (short)(data[i].i*32767);
}
// Do Floating-point FFT
radix4(data, N);
for (i=0;i<N;i++) {
data[i].r /= sqrt(N);
data[i].i /= sqrt(N);
}
bit_r4_reorder(data, N);
switch (N) {
case 64:
twiddle = twiddle_fft64;
log2N=6;
log2N_over2=3;
break;
case 256:
twiddle = twiddle_fft256;
log2N=8;
log2N_over2=4;
break;
case 1024:
twiddle = twiddle_fft1024;
log2N=10;
log2N_over2=5;
break;
case 4096:
log2N=12;
log2N_over2=6;
twiddle = twiddle_fft4096;
break;
default:
twiddle = twiddle_fft256;
log2N=8;
log2N_over2=4;
break;
}
// Do Q15 FFT
fft((short*)data16,
(short*)data16_out,
twiddle,
rev,
log2N,
log2N_over2,
0);
// Compute Distortion statistics
mean_error = 0.0;
mean_in = 0.0;
for (i=0;i<N;i++) {
mean_in += data[i].r*data[i].r + data[i].i*data[i].i;
mean_error += pow((data[i].r-((double)data16_out[2*i].r/32767.0)),2) + pow((data[i].i-((double)data16_out[2*i].i/32767.0)),2);
}
SNR = 10*log10(mean_in/mean_error);
printf("Input %f -> SNR: %f (amp %f, %f)\n",input_dB,SNR,pow(10,.05*input_dB),32767*pow(10,.05*input_dB));
}
#define SCALE64 0x0006
#define SCALE256 0x0016
#define SCALE1024 0x0056
#define SCALE4096 0x0156
void main(int argc, char *argv[])
{
int N, test,log2N;
int i;
double maxSNR,input_dB;
struct complex *data;
struct complex16 *data16;
struct complex16 *data16_out;
unsigned short local_rev[4096];
char fname[100],vname[100];
if (argc!= 3) {
printf("fft size(16-4096) test(0-3)!!\n");
exit(-1);
}
N = atoi(argv[1]);
test = atoi(argv[2]);
if ((N&1) == 1) {
printf("Size must be a power of 4!\n");
exit(-1);
}
if ((test>3) || (test<0)) {
printf("test must be in (0-3)\n");
exit(-1);
}
switch (N) {
case 64:
log2N=6;
break;
case 256:
log2N=8;
break;
case 1024:
log2N=10;
break;
case 4096:
log2N=12;
break;
default:
printf("Illegal fft size\n");
exit(-1);
break;
}
init_fft(N,log2N,local_rev);
set_taus_seed(3);
/** Set up power of two arrays */
pow_2[0]=1;
for (i=1; i<MAXPOW; i++)
pow_2[i]=pow_2[i-1]*2;
pow_4[0]=1;
for (i=1; i<MAXPOW; i++)
pow_4[i]=pow_4[i-1]*4;
if ((data=(struct complex*)malloc(sizeof(struct complex)*(size_t)N))==NULL)
{
fprintf(stderr, "Out of memory!\n");
exit(1);
}
if ((data16=(struct complex16*)malloc16(sizeof(struct complex16)*(size_t)N))==NULL)
{
fprintf(stderr, "Out of memory!\n");
exit(1);
}
if ((data16_out=(struct complex16*)malloc16(2*sizeof(struct complex16)*(size_t)N))==NULL)
{
fprintf(stderr, "Out of memory!\n");
exit(1);
}
printf("res_%d = [ \n",N);
for (input_dB=-60;input_dB<0;input_dB++) {
maxSNR = -1000;
fft_distortion_test(N,test,input_dB,data,data16,data16_out,local_rev);
sprintf(fname,"fftoutput_m%d.m",(int)abs(input_dB));
sprintf(vname,"fftout_m%d",(int)abs(input_dB));
write_output(fname,vname,
(int16_t *)data16_out,
N*2,
2,
1);
sprintf(fname,"fftinput_m%d.m",(int)abs(input_dB));
sprintf(vname,"fftin_m%d",(int)abs(input_dB));
write_output(fname,vname,
(int16_t *)data16,
N,
1,
1);
}
}