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- /*
- ** Copyright (c) 2002-2016, Erik de Castro Lopo <erikd@mega-nerd.com>
- ** All rights reserved.
- **
- ** This code is released under 2-clause BSD license. Please see the
- ** file at : https://github.com/erikd/libsamplerate/blob/master/COPYING
- */
-
- #include "config.h"
-
- #include "util.h"
-
- #if (HAVE_FFTW3 == 1)
-
- #include <stdio.h>
- #include <stdlib.h>
- #include <string.h>
- #include <math.h>
-
- #include <fftw3.h>
-
- #define MAX_SPEC_LEN (1<<18)
- #define MAX_PEAKS 10
-
- static void log_mag_spectrum (double *input, int len, double *magnitude) ;
- static void smooth_mag_spectrum (double *magnitude, int len) ;
- static double find_snr (const double *magnitude, int len, int expected_peaks) ;
-
- typedef struct
- { double peak ;
- int index ;
- } PEAK_DATA ;
-
- double
- calculate_snr (float *data, int len, int expected_peaks)
- { static double magnitude [MAX_SPEC_LEN] ;
- static double datacopy [MAX_SPEC_LEN] ;
-
- double snr = 200.0 ;
- int k ;
-
- if (len > MAX_SPEC_LEN)
- { printf ("%s : line %d : data length too large.\n", __FILE__, __LINE__) ;
- exit (1) ;
- } ;
-
- for (k = 0 ; k < len ; k++)
- datacopy [k] = data [k] ;
-
- /* Pad the data just a little to speed up the FFT. */
- while ((len & 0x1F) && len < MAX_SPEC_LEN)
- { datacopy [len] = 0.0 ;
- len ++ ;
- } ;
-
- log_mag_spectrum (datacopy, len, magnitude) ;
- smooth_mag_spectrum (magnitude, len / 2) ;
-
- snr = find_snr (magnitude, len, expected_peaks) ;
-
- return snr ;
- } /* calculate_snr */
-
- /*==============================================================================
- ** There is a slight problem with trying to measure SNR with the method used
- ** here; the side lobes of the windowed FFT can look like a noise/aliasing peak.
- ** The solution is to smooth the magnitude spectrum by wiping out troughs
- ** between adjacent peaks as done here.
- ** This removes side lobe peaks without affecting noise/aliasing peaks.
- */
-
- static void linear_smooth (double *mag, PEAK_DATA *larger, PEAK_DATA *smaller) ;
-
- static void
- smooth_mag_spectrum (double *mag, int len)
- { PEAK_DATA peaks [2] ;
-
- int k ;
-
- memset (peaks, 0, sizeof (peaks)) ;
-
- /* Find first peak. */
- for (k = 1 ; k < len - 1 ; k++)
- { if (mag [k - 1] < mag [k] && mag [k] >= mag [k + 1])
- { peaks [0].peak = mag [k] ;
- peaks [0].index = k ;
- break ;
- } ;
- } ;
-
- /* Find subsequent peaks ans smooth between peaks. */
- for (k = peaks [0].index + 1 ; k < len - 1 ; k++)
- { if (mag [k - 1] < mag [k] && mag [k] >= mag [k + 1])
- { peaks [1].peak = mag [k] ;
- peaks [1].index = k ;
-
- if (peaks [1].peak > peaks [0].peak)
- linear_smooth (mag, &peaks [1], &peaks [0]) ;
- else
- linear_smooth (mag, &peaks [0], &peaks [1]) ;
- peaks [0] = peaks [1] ;
- } ;
- } ;
-
- } /* smooth_mag_spectrum */
-
- static void
- linear_smooth (double *mag, PEAK_DATA *larger, PEAK_DATA *smaller)
- { int k ;
-
- if (smaller->index < larger->index)
- { for (k = smaller->index + 1 ; k < larger->index ; k++)
- mag [k] = (mag [k] < mag [k - 1]) ? 0.999 * mag [k - 1] : mag [k] ;
- }
- else
- { for (k = smaller->index - 1 ; k >= larger->index ; k--)
- mag [k] = (mag [k] < mag [k + 1]) ? 0.999 * mag [k + 1] : mag [k] ;
- } ;
-
- } /* linear_smooth */
-
- /*==============================================================================
- */
-
- static int
- peak_compare (const void *vp1, const void *vp2)
- { const PEAK_DATA *peak1, *peak2 ;
-
- peak1 = (const PEAK_DATA*) vp1 ;
- peak2 = (const PEAK_DATA*) vp2 ;
-
- return (peak1->peak < peak2->peak) ? 1 : -1 ;
- } /* peak_compare */
-
- static double
- find_snr (const double *magnitude, int len, int expected_peaks)
- { PEAK_DATA peaks [MAX_PEAKS] ;
-
- int k, peak_count = 0 ;
- double snr ;
-
- memset (peaks, 0, sizeof (peaks)) ;
-
- /* Find the MAX_PEAKS largest peaks. */
- for (k = 1 ; k < len - 1 ; k++)
- { if (magnitude [k - 1] < magnitude [k] && magnitude [k] >= magnitude [k + 1])
- { if (peak_count < MAX_PEAKS)
- { peaks [peak_count].peak = magnitude [k] ;
- peaks [peak_count].index = k ;
- peak_count ++ ;
- qsort (peaks, peak_count, sizeof (PEAK_DATA), peak_compare) ;
- }
- else if (magnitude [k] > peaks [MAX_PEAKS - 1].peak)
- { peaks [MAX_PEAKS - 1].peak = magnitude [k] ;
- peaks [MAX_PEAKS - 1].index = k ;
- qsort (peaks, MAX_PEAKS, sizeof (PEAK_DATA), peak_compare) ;
- } ;
- } ;
- } ;
-
- if (peak_count < expected_peaks)
- { printf ("\n%s : line %d : bad peak_count (%d), expected %d.\n\n", __FILE__, __LINE__, peak_count, expected_peaks) ;
- return -1.0 ;
- } ;
-
- /* Sort the peaks. */
- qsort (peaks, peak_count, sizeof (PEAK_DATA), peak_compare) ;
-
- snr = peaks [0].peak ;
- for (k = 1 ; k < peak_count ; k++)
- if (fabs (snr - peaks [k].peak) > 10.0)
- return fabs (peaks [k].peak) ;
-
- return snr ;
- } /* find_snr */
-
- static void
- log_mag_spectrum (double *input, int len, double *magnitude)
- { fftw_plan plan = NULL ;
-
- double maxval ;
- int k ;
-
- if (input == NULL || magnitude == NULL)
- return ;
-
- plan = fftw_plan_r2r_1d (len, input, magnitude, FFTW_R2HC, FFTW_ESTIMATE | FFTW_PRESERVE_INPUT) ;
- if (plan == NULL)
- { printf ("%s : line %d : create plan failed.\n", __FILE__, __LINE__) ;
- exit (1) ;
- } ;
-
- fftw_execute (plan) ;
-
- fftw_destroy_plan (plan) ;
-
- maxval = 0.0 ;
- for (k = 1 ; k < len / 2 ; k++)
- { /*
- ** From : http://www.fftw.org/doc/Real_002dto_002dReal-Transform-Kinds.html#Real_002dto_002dReal-Transform-Kinds
- **
- ** FFTW_R2HC computes a real-input DFT with output in “halfcomplex” format, i.e. real and imaginary parts
- ** for a transform of size n stored as:
- **
- ** r0, r1, r2, ..., rn/2, i(n+1)/2-1, ..., i2, i1
- */
- double re = magnitude [k] ;
- double im = magnitude [len - k] ;
- magnitude [k] = sqrt (re * re + im * im) ;
- maxval = (maxval < magnitude [k]) ? magnitude [k] : maxval ;
- } ;
-
- memset (magnitude + len / 2, 0, len / 2 * sizeof (magnitude [0])) ;
-
- /* Don't care about DC component. Make it zero. */
- magnitude [0] = 0.0 ;
-
- /* log magnitude. */
- for (k = 0 ; k < len ; k++)
- { magnitude [k] = magnitude [k] / maxval ;
- magnitude [k] = (magnitude [k] < 1e-15) ? -200.0 : 20.0 * log10 (magnitude [k]) ;
- } ;
-
- return ;
- } /* log_mag_spectrum */
-
- #else /* ! (HAVE_LIBFFTW && HAVE_LIBRFFTW) */
-
- double
- calculate_snr (float *data, int len, int expected_peaks)
- { double snr = 200.0 ;
-
- data = data ;
- len = len ;
- expected_peaks = expected_peaks ;
-
- return snr ;
- } /* calculate_snr */
-
- #endif
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