spwv.c

Time-Frequency Toolbox,其中包含很常用的MATLAB程序

/* EXISTS AN INTERFACE PROGRAM TO MATLAB : CTFRSPWV.C                         *
 *============================================================================*
 * Name of the function : spwv.c (void)                                       *
 * Authors              : Emmanuel Roy - Manuel DAVY                          *
 * Date of creation     : 10 - 02 - 1999                                      *
 *----------------------------------------------------------------------------*
 * THE ALGORITHM                                                              *
 *                                                                            *
 * Given a signal to analyze in time and frequency, computes the Smoothed     *
 * Pseudo-Wigner-Ville Distribution (SPWV) :                                  *
 *                                                                            *
 *                                                                            *
 *             /        /                                  -j2pi f tau        *
 * SPWV(t,f) = | h(tau) | g(tau-t) x(mu+tau/2)x*(mu-tau/2)e          dmu dtau *
 *            /         /                                                     *
 *                                                                            *
 * This function is real valued. Its computation requires a real or complex   *
 * signal, a vector containing time instants, the number of frequency bins, a *
 * time smoothing window and a frequency smoothing window.                    *
 *                                                                            *
 *============================================================================*
 * INPUT VARIABLES                                                            *
 * Name                |              role                                    *
 * Signal              | The signal to analyze. No field modified             *
 *                     |                                                      *
 * WindowT             | Vector containing the points of the time moothing    *
 *                     | window                                               *
 * WindowT_Length      | Number of points of the time window (ODD number !)   *
 *                     |                                                      *
 * WindowF             | Vector containing the points of the frequency window *
 * WindowF_Length      | Number of points of the window (ODD number !)        *
 *                     |                                                      *
 * tfr                 | Matrix containing the resulting TFR (real)           *
 * tfr.time_instants   | positions of the smoothing window                    *
 * tfr.N_time          | length of '.time_instants' = number of cols.         *
 *                     | in the tfr matrix                                    *
 * tfr.N_freq          | number of frequency bins = number of rows in the tfr *
 *                     | matrix                                               *
 * tfr.is_complex      | must be set to FALSE (a SPWV tfr is real-valued)     *
 *----------------------------------------------------------------------------*
 * OUTPUT VARIABLES                                                           *
 * Name                |                role                                  *
 * tfr.real_part       | the output tfr matrix  (real_part)                   *
 * tfr.freq_bins       | vector of frequency bins (freqs where the tfr matrix *
 *                     | is computed)                                         *
 *----------------------------------------------------------------------------*
 * INTERNAL VARIABLES                                                         *
 * Name                |                 role                                 *
 *                     |                                                      *
 * Nfft                | Next power of two to tfr.N_freq                      *
 * column, row         | variables of displacement in the matrices            *
 * time                | local time-instant variable to compute the tfr       *
 *                     |                                                      *
 * half_WindowT_Length | half-length of the time smoothing window             *
 * normT               | normalization factor for the time smoothing window   *
 *                     |                                                      *
 * half_WindowF_Length | half-length of the frequency smoothing window        *
 * normF               | normalization factor for the frequency window        *
 *                     |                                                      *
 * tau                 | time-lag variable                                    *
 * taumin              | local time-lag variable bounds. Used to take into    *
 * taumax              | accound the beginning and the end of the             *
 *                     | signal, where the window is cut                      *
 *                     |                                                      *
 * mu                  | time-smoothing variable                              *
 * mumin               | local time-smoothing variable bounds. Used to take   *
 * mumax               | into accound the beginning and the end of time       *
 *                     | smoothing procedure                                  *
 *                     |                                                      *
 * lacf_real           | real and imaginary parts of the local autocorrelation*
 * lacf_imag           | function of the signal                               *
 *                     |                                                      *
 * R1_real R1_imag     | used to compute real and imaginary parts of the time *
 * R1_real R1_imag     | smoothed-windowed local autocorrelation function     *
 * R2_real R2_imag     |                                                      *
 *                     |                                                      *
 *============================================================================*
 * SUBROUTINES USED HERE                                                      *
 *----------------------------------------------------------------------------*
 * Name   | int idx(int i_row, int j_col, int nb_row)                         *
 * Action | computes the vector index for an element in a matrix given the row*
 *        | and column indices (i,j) and the total number of row              *
 * Place  | divers.c                                                          *
 *----------------------------------------------------------------------------*
 * Name   | void fft(int n, int m, double *x, double *y)                      *
 * Action | Computes the fft                                                  *
 * Place  | divers.c                                                          *
 *----------------------------------------------------------------------------*
 * Name   | int po2(int x)                                                    *
 * Action | Computes the next power of two of x                               *
 * Place  | divers.c                                                          *
 *============================================================================*/

void
spwv (type_signal Signal,
    double *WindowT, int WindowT_Length,
    double *WindowF, int WindowF_Length,
    type_TFR tfr)

{
  int            Nfft, column, row, time;
  int            half_WindowT_Length, half_WindowF_Length;
  int            taumin, taumax, tau;
  int            mumin, mumax, mu;
  double        *lacf_real, *lacf_imag;		/* local autocorrelation function */
  double         normT, normF;
  double         R0_real, R0_imag, R1_real, R1_imag, R2_real, R2_imag;

 /*--------------------------------------------------------------------*/
 /*                      Test the input variables                      */
 /*--------------------------------------------------------------------*/


   if (tfr.is_complex == TRUE)
    {
      printf ("spwv.c : The tfr matrix must be real valued\n");
      exit(0);
    }

  if (tfr.N_freq <= 0)
    {
      printf ("spwv.c : The field tfr.N_freq is not correctly set\n");
      exit(0);
    }

  if (tfr.N_time <= 0)
    {
      printf ("spwv.c : The field tfr.N_time is not correctly set\n");
      exit(0);
    }

  if (ISODD(WindowT_Length) == 0)
    {
      printf ("spwv.c : The time-window Length must be an ODD number\n");
      exit(0);
    }

  if (ISODD(WindowF_Length) == 0)
    {
      printf ("spwv.c : The frequency-window Length must be an ODD number\n");
      exit(0);
    }

  /*--------------------------------------------------------------------*/
  /*                    Determines some internal constants              */
  /*--------------------------------------------------------------------*/
  half_WindowT_Length = (WindowT_Length - 1) / 2;
  half_WindowF_Length = (WindowF_Length - 1) / 2;
  normF=WindowF[half_WindowF_Length];

  for(row = 0; row < WindowF_Length; row++)
    {
      WindowF[row] = WindowF[row]/normF;
    }
  /*--------------------------------------------------------------------*/
  /*           creation of the vector of frequency bins  (output)       */
  /*--------------------------------------------------------------------*/
  Nfft = po2 (tfr.N_freq);

  for (row = 0; row < tfr.N_freq; row++)
    {
     tfr.freq_bins[row] = (double) (0.5 * row) / tfr.N_freq;
    }
  /*--------------------------------------------------------------------*/
  /* memory allocation and init. of the local autocorrelation fuction   */
  /*--------------------------------------------------------------------*/
  lacf_real = (double *) ALLOC (tfr.N_freq , sizeof (double));
  lacf_imag = (double *) ALLOC (tfr.N_freq , sizeof (double));

 /* initialization of the intermediary vectors */
 for (row = 0; row < tfr.N_freq ; row++)
   {
    lacf_real[row] = 0.0;
    lacf_imag[row] = 0.0;
   }

 /*--------------------------------------------------------------------*/
 /*      computation of the fft for the current windowed signal        */
 /*--------------------------------------------------------------------*/
  for (column = 0; column < tfr.N_time; column++)
    {

      /* time instants of interest to compute the tfr */
      time = ((int) tfr.time_instants[column]) - 1;

      taumax = MIN((time+half_WindowT_Length),(Signal.length-time-1+half_WindowT_Length));
      taumax = MIN(taumax,(tfr.N_freq / 2 - 1));
      taumax = MIN(taumax, half_WindowF_Length);