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Wavelets.h
Go to the documentation of this file.00001 /***************************************************************************** 00002 Major portions of this software are copyrighted by the Medical College 00003 of Wisconsin, 1994-2000, and are released under the Gnu General Public 00004 License, Version 2. See the file README.Copyright for details. 00005 ******************************************************************************/ 00006 00007 #undef powerof2 /* needed for Mac OS X */ 00008 00009 /*---------------------------------------------------------------------------*/ 00010 /* 00011 This is the header file for software contained in Wavelets.c. 00012 00013 File: Wavelets.h 00014 Author: B. Douglas Ward 00015 Date: 28 March 2000 00016 */ 00017 00018 00019 /*---------------------------------------------------------------------------*/ 00020 00021 #define MAX_WAVELET_TYPE 2 00022 00023 static char * WAVELET_TYPE_name[MAX_WAVELET_TYPE] = 00024 { "Haar", "Daubechies" } ; 00025 00026 00027 #define WA_HAAR (0) 00028 #define WA_DAUBECHIES (1) 00029 00030 00031 /*---------------------------------------------------------------------------*/ 00032 /* 00033 Print error message and stop. 00034 */ 00035 00036 void WA_error (char * message); 00037 00038 00039 /*---------------------------------------------------------------------------*/ 00040 /** macro to test a malloc-ed pointer for validity **/ 00041 00042 #define MTEST(ptr) \ 00043 if((ptr)==NULL) \ 00044 ( WA_error ("Cannot allocate memory") ) 00045 00046 00047 /*---------------------------------------------------------------------------*/ 00048 /* 00049 Print time series data to screen. 00050 */ 00051 00052 void ts_print (int npts, float * data); 00053 00054 00055 /*---------------------------------------------------------------------------*/ 00056 /* 00057 Write time series data to specified file. 00058 */ 00059 00060 void ts_fprint (char * filename, int npts, float * data); 00061 00062 00063 /*---------------------------------------------------------------------------*/ 00064 /* 00065 Calculate integer power of 2. 00066 */ 00067 00068 int powerof2 (int n); 00069 00070 00071 /*---------------------------------------------------------------------------*/ 00072 /* 00073 Calculate integer log base 2. 00074 */ 00075 00076 int my_log2 (int n); 00077 00078 00079 /*---------------------------------------------------------------------------*/ 00080 /* 00081 Apply filter to wavelet coefficients. 00082 */ 00083 00084 void FWT_1d_filter 00085 ( 00086 float * filter, /* array of filter coefficients */ 00087 int N, /* log2(NPTS) */ 00088 float * s /* array of wavelet coefficients */ 00089 ); 00090 00091 00092 /*---------------------------------------------------------------------------*/ 00093 /* 00094 Set up array indicating which wavelet coefficients to set to zero. 00095 */ 00096 00097 float * FWT_1d_stop_filter 00098 ( 00099 int num_stop_filters, /* number of wavelet stop filters */ 00100 int * stop_band, /* wavelet filter stop band */ 00101 int * stop_mintr, /* min. time for stop band */ 00102 int * stop_maxtr, /* max. time for stop band */ 00103 int NFirst, /* first image from input 3d+time dataset to use */ 00104 int NPTS /* number of usable data points from input data */ 00105 ); 00106 00107 00108 /*---------------------------------------------------------------------------*/ 00109 /* 00110 Set up array indicating which wavelet coefficients to include in the model. 00111 */ 00112 00113 float * FWT_1d_pass_filter 00114 ( 00115 int num_pass_filters, /* number of wavelet pass filters */ 00116 int * pass_band, /* wavelet filter pass band */ 00117 int * pass_mintr, /* min. time for pass band */ 00118 int * pass_maxtr, /* max. time for pass band */ 00119 int NFirst, /* first image from input 3d+time dataset to use */ 00120 int NPTS /* number of usable data points from input data */ 00121 ); 00122 00123 00124 /*---------------------------------------------------------------------------*/ 00125 /* 00126 Calculate the error sum of squares. 00127 */ 00128 00129 float calc_sse 00130 ( 00131 int NPTS, /* number of usable data points from input data */ 00132 float * trueData, /* actual time series data */ 00133 float * est /* estimated time series data */ 00134 ); 00135 00136 00137 /*---------------------------------------------------------------------------*/ 00138 /* 00139 Calculate the F-statistic for significance of the regression. 00140 */ 00141 00142 float calc_freg 00143 ( 00144 int n, /* number of data points */ 00145 int p, /* number of parameters in the full model */ 00146 int q, /* number of parameters in the rdcd model */ 00147 float ssef, /* error sum of squares from full model */ 00148 float sser /* error sum of squares from reduced model */ 00149 ); 00150 00151 00152 /*---------------------------------------------------------------------------*/ 00153 /* 00154 Calculate the coefficient of multiple determination R^2. 00155 */ 00156 00157 float calc_rsqr 00158 ( 00159 float ssef, /* error sum of squares from full model */ 00160 float sser /* error sum of squares from reduced model */ 00161 ); 00162 00163 00164 /*---------------------------------------------------------------------------*/ 00165 /* 00166 Perform wavelet analysis on a single input time series. 00167 */ 00168 00169 void wavelet_analysis 00170 ( 00171 int wavelet_type, /* indicates type of wavelet */ 00172 int f, /* number of parameters removed by the filter */ 00173 float * stop_filter, /* select wavelet coefs. to stop */ 00174 int q, /* number of parameters in the baseline model */ 00175 float * base_filter, /* select wavelet coefs. for baseline */ 00176 int p, /* number of parameters in the full model */ 00177 float * full_filter, /* select wavelet coefs. for full model */ 00178 int NPTS, /* number of usable data points from input data */ 00179 float * ts_array, /* array of measured data for one voxel */ 00180 00181 float * coef, /* full model wavelet coefficients */ 00182 float * sse_base, /* baseline model error sum of squares */ 00183 float * sse_full, /* full model error sum of squares */ 00184 float * ffull, /* full model F-statistic */ 00185 float * rfull, /* full model R^2 stats. */ 00186 00187 float * coefts, /* filtered FWT coefficients */ 00188 float * fitts, /* filterd time series */ 00189 float * sgnlts, /* signal model fitted time series */ 00190 float * errts /* residual error time series */ 00191 ); 00192 00193 00194 /*---------------------------------------------------------------------------*/ 00195 /* 00196 Report the results of wavelet analysis for a single time series. 00197 */ 00198 00199 void report_results 00200 ( 00201 int N, /* number of usable data points from input data */ 00202 int NFirst, /* first image from input 3d+time dataset to use */ 00203 int f, /* number of parameters removed by the filter */ 00204 int p, /* number of parameters in the full model */ 00205 int q, /* number of parameters in the baseline model */ 00206 float * base_filter, /* select wavelet coefs. for baseline */ 00207 float * sgnl_filter, /* select wavelet coefs. for full model */ 00208 float * coef, /* full model wavelet coefficients */ 00209 float sse_base, /* baseline model error sum of squares */ 00210 float sse_full, /* full model error sum of squares */ 00211 float ffull, /* full model F-statistic */ 00212 float rfull, /* full model R^2 stat. */ 00213 char ** label /* statistical summary for ouput display */ 00214 ); 00215 00216 00217 /*---------------------------------------------------------------------------*/ 00218 00219 00220 00221 00222 00223
