/*****************************************************************************
-** FILE IDENTIFICATION
-**
+** File IDENTIFICATION
+**
** Name: filter.cpp
** Purpose: Routines for signal-procesing filters
-** Progammer: Kevin Rosenberg
+** Progammer: Kevin Rosenberg
** Date Started: Aug 1984
**
** This is part of the CTSim program
-** Copyright (C) 1983-2000 Kevin Rosenberg
-**
-** $Id: filter.cpp,v 1.8 2000/07/04 18:33:35 kevin Exp $
+** Copyright (c) 1983-2009 Kevin Rosenberg
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License (version 2) as
#include "ct.h"
+int SignalFilter::N_INTEGRAL=500; //static member
+
+const int SignalFilter::FILTER_INVALID = -1 ;
+const int SignalFilter::FILTER_ABS_BANDLIMIT = 0; // filter times |x|
+const int SignalFilter::FILTER_ABS_G_HAMMING = 1;
+const int SignalFilter::FILTER_ABS_HANNING = 2;
+const int SignalFilter::FILTER_ABS_COSINE = 3;
+const int SignalFilter::FILTER_ABS_SINC = 4;
+const int SignalFilter::FILTER_SHEPP = 5;
+const int SignalFilter::FILTER_BANDLIMIT = 6;
+const int SignalFilter::FILTER_SINC = 7;
+const int SignalFilter::FILTER_G_HAMMING = 8;
+const int SignalFilter::FILTER_HANNING = 9;
+const int SignalFilter::FILTER_COSINE = 10;
+const int SignalFilter::FILTER_TRIANGLE = 11;
+
+const int SignalFilter::s_iReconstructFilterCount = 4;
+
+const char* const SignalFilter::s_aszFilterName[] = {
+ "abs_bandlimit",
+ "abs_hamming",
+ "abs_hanning",
+ "abs_cosine",
+ "shepp",
+ "abs_sinc",
+ "bandlimit",
+ "sinc",
+ "hamming",
+ "hanning",
+ "cosine",
+ "triangle"
+};
+
+const char* const SignalFilter::s_aszFilterTitle[] = {
+ "Abs(w) * Bandlimit",
+ "Abs(w) * Hamming",
+ "Abs(w) * Hanning",
+ "Abs(w) * Cosine",
+ "Shepp",
+ "Abs(w) * Sinc",
+ "Bandlimit",
+ "Sinc",
+ "Hamming",
+ "Hanning",
+ "Cosine",
+ "Triangle"
+};
+
+const int SignalFilter::s_iFilterCount = sizeof(s_aszFilterName) / sizeof(const char*);
+
+
+const int SignalFilter::DOMAIN_INVALID = -1;
+const int SignalFilter::DOMAIN_FREQUENCY = 0;
+const int SignalFilter::DOMAIN_SPATIAL = 1;
+
+const char* const SignalFilter::s_aszDomainName[] = {
+ "frequency",
+ "spatial",
+};
+
+const char* const SignalFilter::s_aszDomainTitle[] = {
+ "Frequency",
+ "Spatial",
+};
+
+const int SignalFilter::s_iDomainCount = sizeof(s_aszDomainName) / sizeof(const char*);
+
/* NAME
- * SignalFilter::SignalFilter Construct a signal
- *
- * SYNOPSIS
- * f = SignalFilter (filt_type, bw, filterMin, filterMax, n, param, domain, analytic)
- * double f Generated filter vector
- * int filt_type Type of filter wanted
- * double bw Bandwidth of filter
- * double filterMin, filterMax Filter limits
- * int nSignalPoints Number of points in signal
- * double param General input parameter to filters
- * int domain FREQUENCY or SPATIAL domain wanted
- * int numint Number if intervals for calculating discrete inverse fourier xform
- * for spatial domain filters. For ANALYTIC solutions, use numint = 0
- */
-
-SignalFilter::SignalFilter (const char* filterName, const char* filterMethodName, double bw, double signalIncrement, int nSignalPoints, double param, const char* domainName, int numIntegral = 0)
+* SignalFilter::SignalFilter Construct a signal
+*
+* SYNOPSIS
+* f = SignalFilter (filt_type, bw, filterMin, filterMax, n, param, domain, analytic)
+* double f Generated filter vector
+* int filt_type Type of filter wanted
+* double bw Bandwidth of filter
+* double filterMin, filterMax Filter limits
+* int nFilterPoints Number of points in signal
+* double param General input parameter to filters
+* int domain FREQUENCY or SPATIAL domain wanted
+*/
+
+SignalFilter::SignalFilter (const char* szFilterName, double dFilterMinimum, double dFilterMaximum, int nFilterPoints, double dBandwidth, double dFilterParam, const char* szDomainName)
+: m_adFilter(NULL), m_fail(false)
{
- m_vecFilter = NULL;
- m_vecFourierCosTable = NULL;
- m_vecFourierSinTable = NULL;
- m_idFilter = convertFilterNameToID (filterName);
+ m_idFilter = convertFilterNameToID (szFilterName);
if (m_idFilter == FILTER_INVALID) {
m_fail = true;
m_failMessage = "Invalid Filter name ";
- m_failMessage += filterName;
+ m_failMessage += szFilterName;
return;
}
- m_idFilterMethod = convertFilterMethodNameToID (filterMethodName);
- if (m_idFilterMethod == FILTER_METHOD_INVALID) {
- m_fail = true;
- m_failMessage = "Invalid filter method name ";
- m_failMessage += filterMethodName;
- return;
- }
- m_idDomain = convertDomainNameToID (domainName);
+ m_idDomain = convertDomainNameToID (szDomainName);
if (m_idDomain == DOMAIN_INVALID) {
m_fail = true;
m_failMessage = "Invalid domain name ";
- m_failMessage += domainName;
+ m_failMessage += szDomainName;
return;
}
- init (m_idFilter, m_idFilterMethod, bw, signalIncrement, nSignalPoints, param, m_idDomain, numIntegral);
+ init (m_idFilter, dFilterMinimum, dFilterMaximum, nFilterPoints, dBandwidth, dFilterParam, m_idDomain);
}
-SignalFilter::SignalFilter (const FilterID filterID, const FilterMethodID filterMethodID, double bw, double signalIncrement, int nSignalPoints, double param, const DomainID domainID, int numIntegral = 0)
+SignalFilter::SignalFilter (const int idFilter, double dFilterMinimum, double dFilterMaximum, int nFilterPoints, double dBandwidth, double dFilterParam, const int idDomain)
+: m_adFilter(NULL), m_fail(false)
{
- init (filterID, filterMethodID, bw, signalIncrement, nSignalPoints, param, domainID, numIntegral);
+ init (idFilter, dFilterMinimum, dFilterMaximum, nFilterPoints, dBandwidth, dFilterParam, idDomain);
}
-SignalFilter::SignalFilter (const char* filterName, const char* domainName, double bw, double param, int numIntegral = 0)
+SignalFilter::SignalFilter (const char* szFilterName, const char* szDomainName, double dBandwidth, double dFilterParam)
+: m_adFilter(NULL), m_fail(false)
{
- m_bw = bw;
- m_nSignalPoints = 0;
m_nFilterPoints = 0;
- m_vecFilter = NULL;
- m_vecFourierCosTable = NULL;
- m_vecFourierSinTable = NULL;
- m_filterParam = param;
- m_numIntegral = numIntegral;
- m_idFilter = convertFilterNameToID (filterName);
+ m_dBandwidth = dBandwidth;
+ m_dFilterParam = dFilterParam;
+ m_idFilter = convertFilterNameToID (szFilterName);
if (m_idFilter == FILTER_INVALID) {
m_fail = true;
m_failMessage = "Invalid Filter name ";
- m_failMessage += filterName;
+ m_failMessage += szFilterName;
return;
}
- m_idDomain = convertDomainNameToID (domainName);
+ m_idDomain = convertDomainNameToID (szDomainName);
if (m_idDomain == DOMAIN_INVALID) {
m_fail = true;
m_failMessage = "Invalid domain name ";
- m_failMessage += domainName;
+ m_failMessage += szDomainName;
return;
}
}
void
-SignalFilter::init (const FilterID filterID, const FilterMethodID filterMethodID, double bw, double signalIncrement, int nSignalPoints, double param, const DomainID domainID, int numint)
+SignalFilter::init (const int idFilter, double dFilterMinimum, double dFilterMaximum, int nFilterPoints, double dBandwidth, double dFilterParam, const int idDomain)
{
- m_bw = bw;
- m_idFilter = filterID;
- m_idDomain = domainID;
- m_idFilterMethod = filterMethodID;
- if (m_idFilter == FILTER_INVALID || m_idDomain == DOMAIN_INVALID || m_idFilterMethod == FILTER_METHOD_INVALID) {
+ m_idFilter = idFilter;
+ m_idDomain = idDomain;
+ if (m_idFilter == FILTER_INVALID || m_idDomain == DOMAIN_INVALID) {
m_fail = true;
return;
}
- m_nameFilter = convertFilterIDToName (m_idFilter);
- m_nameDomain = convertDomainIDToName (m_idDomain);
- m_nameFilterMethod = convertFilterMethodIDToName (m_idFilterMethod);
- m_fail = false;
- m_nSignalPoints = nSignalPoints;
- m_signalInc = signalIncrement;
- m_filterParam = param;
-
- if (m_idFilterMethod == FILTER_METHOD_FOURIER) {
- int nFourier = m_nSignalPoints * m_nSignalPoints + 1;
- double angleIncrement = (2. * PI) / m_nSignalPoints;
- m_vecFourierCosTable = new double[ nFourier ];
- m_vecFourierSinTable = new double[ nFourier ];
- for (int i = 0; i < nFourier; i++) {
- m_vecFourierCosTable[i] = cos (angleIncrement * i);
- m_vecFourierSinTable[i] = sin (angleIncrement * i);
- }
- m_nFilterPoints = m_nSignalPoints;
- m_filterMin = 0;
- m_filterMax = m_nSignalPoints * m_signalInc;
- m_filterInc = (m_filterMax - m_filterMin) / (m_nFilterPoints - 1);
- m_vecFilter = new double [m_nFilterPoints];
- int halfFilter = m_nFilterPoints / 2;
- for (int i = 0; i < halfFilter; i++)
- m_vecFilter[i] = static_cast<double>(i) / (halfFilter - 1) / (2 * m_signalInc);
- for (int i = 0; i < halfFilter; i++)
- m_vecFilter[m_nFilterPoints - i - 1] = static_cast<double>(i) / (halfFilter - 1) / (2 * m_signalInc);
- if (halfFilter % 2) // odd
- m_vecFilter[halfFilter] = 1;
- } else if (m_idFilterMethod == FILTER_METHOD_FFT || m_idFilterMethod == FILTER_METHOD_FFT_ZEROPAD_2 || m_idFilterMethod == FILTER_METHOD_FFT_ZEROPAD_4) {
- m_nFilterPoints = m_nSignalPoints;
- if (m_idFilterMethod == FILTER_METHOD_FFT_ZEROPAD_2 || m_idFilterMethod == FILTER_METHOD_FFT_ZEROPAD_4) {
- double logBase2 = log(m_nSignalPoints) / log(2);
- int nextPowerOf2 = static_cast<int>(floor(logBase2)) + 1;
- if (m_idFilterMethod == FILTER_METHOD_FFT_ZEROPAD_4)
- nextPowerOf2++;
- if (logBase2 != floor(logBase2))
- nextPowerOf2++;
- m_nFilterPoints = 1 << nextPowerOf2;
- cout << "nFilterPoints = " << m_nFilterPoints << endl;
- }
- m_filterMin = 0;
- m_filterMax = m_nSignalPoints * m_signalInc;
- m_filterInc = (m_filterMax - m_filterMin) / (m_nFilterPoints - 1);
- m_vecFilter = new double [m_nFilterPoints];
- int halfFilter = m_nFilterPoints / 2;
- for (int i = 0; i < halfFilter; i++)
- m_vecFilter[i] = static_cast<double>(i) / (halfFilter - 1) / (2 * m_signalInc);
- for (int i = 0; i < halfFilter; i++)
- m_vecFilter[m_nFilterPoints - i - 1] = static_cast<double>(i) / (halfFilter - 1) / (2 * m_signalInc);
- if (halfFilter % 2) // odd
- m_vecFilter[halfFilter] = 1;
-
-#if HAVE_FFTW
- m_planForward = fftw_create_plan (m_nFilterPoints, FFTW_FORWARD, FFTW_ESTIMATE);
- m_planBackward = fftw_create_plan (m_nFilterPoints, FFTW_BACKWARD, FFTW_ESTIMATE);
-#endif
+ if (nFilterPoints < 2) {
+ m_fail = true;
+ m_failMessage = "Number of filter points ";
+ m_failMessage += nFilterPoints;
+ m_failMessage = " less than 2";
+ return;
}
- if (m_idFilterMethod == FILTER_METHOD_CONVOLUTION) {
- m_nFilterPoints = 2 * m_nSignalPoints - 1;
- m_filterMin = -m_signalInc * (m_nSignalPoints - 1);
- m_filterMax = m_signalInc * (m_nSignalPoints - 1);
- m_filterInc = (m_filterMax - m_filterMin) / (m_nFilterPoints - 1);
- m_numIntegral = numint;
- m_vecFilter = new double[ m_nFilterPoints ];
-
- if (m_idFilter == FILTER_SHEPP) {
- double a = 2 * m_bw;
- double c = - 4. / (a * a);
- int center = (m_nFilterPoints - 1) / 2;
- int sidelen = center;
- m_vecFilter[center] = 4. / (a * a);
-
- for (int i = 1; i <= sidelen; i++ )
- m_vecFilter [center + i] = m_vecFilter [center - i] = c / (4 * (i * i) - 1);
- } else if (m_idDomain == DOMAIN_FREQUENCY) {
- double x;
- int i;
- for (x = m_filterMin, i = 0; i < m_nFilterPoints; x += m_filterInc, i++)
- m_vecFilter[i] = frequencyResponse (x, param);
- } else if (m_idDomain == DOMAIN_SPATIAL) {
- double x;
- int i;
- for (x = m_filterMin, i = 0; i < m_nFilterPoints; x += m_filterInc, i++)
- if (numint == 0)
- m_vecFilter[i] = spatialResponseAnalytic (x, param);
- else
- m_vecFilter[i] = spatialResponseCalc (x, param, numint);
- } else {
- m_failMessage = "Illegal domain name ";
- m_failMessage += m_idDomain;
- m_fail = true;
- }
- }
+ m_nameFilter = convertFilterIDToName (m_idFilter);
+ m_nameDomain = convertDomainIDToName (m_idDomain);
+ m_nFilterPoints = nFilterPoints;
+ m_dFilterParam = dFilterParam;
+ m_dBandwidth = dBandwidth;
+ m_dFilterMin = dFilterMinimum;
+ m_dFilterMax = dFilterMaximum;
+
+ m_dFilterInc = (m_dFilterMax - m_dFilterMin) / (m_nFilterPoints - 1);
+ m_adFilter = new double [m_nFilterPoints];
+
+ if (m_idDomain == DOMAIN_FREQUENCY)
+ createFrequencyFilter (m_adFilter);
+ else if (m_idDomain == DOMAIN_SPATIAL)
+ createSpatialFilter (m_adFilter);
}
+
SignalFilter::~SignalFilter (void)
{
- delete m_vecFilter;
- delete m_vecFourierSinTable;
- delete m_vecFourierCosTable;
-#if HAVE_FFTW
- if (m_idFilterMethod == FILTER_METHOD_FFT) {
- fftw_destroy_plan(m_planForward);
- fftw_destroy_plan(m_planBackward);
- }
-#endif
+ delete [] m_adFilter;
+}
+
+void
+SignalFilter::createFrequencyFilter (double* adFilter) const
+{
+ double x;
+ int i;
+ for (x = m_dFilterMin, i = 0; i < m_nFilterPoints; x += m_dFilterInc, i++)
+ adFilter[i] = frequencyResponse (x);
}
-const SignalFilter::FilterID
+void
+SignalFilter::createSpatialFilter (double* adFilter) const
+{
+ if (m_idFilter == FILTER_SHEPP) {
+ double a = 2 * m_dBandwidth;
+ double c = - 4. / (a * a);
+ int center = (m_nFilterPoints - 1) / 2;
+ int sidelen = center;
+ m_adFilter[center] = 4. / (a * a);
+
+ for (int i = 1; i <= sidelen; i++ )
+ m_adFilter [center + i] = m_adFilter [center - i] = c / (4 * (i * i) - 1);
+ } else {
+ double x = m_dFilterMin;
+ for (int i = 0; i < m_nFilterPoints; i++, x += m_dFilterInc) {
+ if (haveAnalyticSpatial(m_idFilter))
+ m_adFilter[i] = spatialResponseAnalytic (x);
+ else
+ m_adFilter[i] = spatialResponseCalc (x);
+ }
+ }
+}
+
+int
SignalFilter::convertFilterNameToID (const char *filterName)
{
- FilterID filterID = FILTER_INVALID;
-
- if (strcasecmp (filterName, FILTER_BANDLIMIT_STR) == 0)
- filterID = FILTER_BANDLIMIT;
- else if (strcasecmp (filterName, FILTER_HAMMING_STR) == 0)
- filterID = FILTER_G_HAMMING;
- else if (strcasecmp (filterName, FILTER_SINC_STR) == 0)
- filterID = FILTER_SINC;
- else if (strcasecmp (filterName, FILTER_COS_STR) == 0)
- filterID = FILTER_COSINE;
- else if (strcasecmp (filterName, FILTER_TRIANGLE_STR) == 0)
- filterID = FILTER_TRIANGLE;
- else if (strcasecmp (filterName, FILTER_ABS_BANDLIMIT_STR) == 0)
- filterID = FILTER_ABS_BANDLIMIT;
- else if (strcasecmp (filterName, FILTER_ABS_HAMMING_STR) == 0)
- filterID = FILTER_ABS_G_HAMMING;
- else if (strcasecmp (filterName, FILTER_ABS_SINC_STR) == 0)
- filterID = FILTER_ABS_SINC;
- else if (strcasecmp (filterName, FILTER_ABS_COS_STR) == 0)
- filterID = FILTER_ABS_COSINE;
- else if (strcasecmp (filterName, FILTER_SHEPP_STR) == 0)
- filterID = FILTER_SHEPP;
-
- return (filterID);
+ int filterID = FILTER_INVALID;
+
+ for (int i = 0; i < s_iFilterCount; i++) {
+ if (strcasecmp (filterName, s_aszFilterName[i]) == 0) {
+ filterID = i;
+ break;
+ }
+ }
+
+ return (filterID);
}
const char *
-SignalFilter::convertFilterIDToName (const FilterID filterID)
+SignalFilter::convertFilterIDToName (const int filterID)
{
- const char *name = "";
-
- if (filterID == FILTER_SHEPP)
- name = FILTER_SHEPP_STR;
- else if (filterID == FILTER_ABS_COSINE)
- name = FILTER_ABS_COS_STR;
- else if (filterID == FILTER_ABS_SINC)
- name = FILTER_ABS_SINC_STR;
- else if (filterID == FILTER_ABS_G_HAMMING)
- name = FILTER_ABS_HAMMING_STR;
- else if (filterID == FILTER_ABS_BANDLIMIT)
- name = FILTER_ABS_BANDLIMIT_STR;
- else if (filterID == FILTER_COSINE)
- name = FILTER_COS_STR;
- else if (filterID == FILTER_SINC)
- name = FILTER_SINC_STR;
- else if (filterID == FILTER_G_HAMMING)
- name = FILTER_HAMMING_STR;
- else if (filterID == FILTER_BANDLIMIT)
- name = FILTER_BANDLIMIT_STR;
- else if (filterID == FILTER_TRIANGLE)
- name = FILTER_TRIANGLE_STR;
-
+ static const char *name = "";
+
+ if (filterID >= 0 && filterID < s_iFilterCount)
+ return (s_aszFilterName [filterID]);
+
return (name);
}
-
-const SignalFilter::FilterMethodID
-SignalFilter::convertFilterMethodNameToID (const char* const filterMethodName)
-{
- FilterMethodID fmID = FILTER_METHOD_INVALID;
-
- if (strcasecmp (filterMethodName, FILTER_METHOD_CONVOLUTION_STR) == 0)
- fmID = FILTER_METHOD_CONVOLUTION;
- else if (strcasecmp (filterMethodName, FILTER_METHOD_FOURIER_STR) == 0)
- fmID = FILTER_METHOD_FOURIER;
- else if (strcasecmp (filterMethodName, FILTER_METHOD_FFT_STR) == 0)
- fmID = FILTER_METHOD_FFT;
- else if (strcasecmp (filterMethodName, FILTER_METHOD_FFT_ZEROPAD_2_STR) == 0)
- fmID = FILTER_METHOD_FFT_ZEROPAD_2;
- else if (strcasecmp (filterMethodName, FILTER_METHOD_FFT_ZEROPAD_4_STR) == 0)
- fmID = FILTER_METHOD_FFT_ZEROPAD_4;
- else if (strcasecmp (filterMethodName, FILTER_METHOD_FFT_ZEROPAD_6_STR) == 0)
- fmID = FILTER_METHOD_FFT_ZEROPAD_6;
-
- return (fmID);
-}
const char *
-SignalFilter::convertFilterMethodIDToName (const FilterMethodID fmID)
+SignalFilter::convertFilterIDToTitle (const int filterID)
{
- const char *name = "";
-
- if (fmID == FILTER_METHOD_CONVOLUTION)
- return (FILTER_METHOD_CONVOLUTION_STR);
- else if (fmID == FILTER_METHOD_FOURIER)
- return (FILTER_METHOD_FOURIER_STR);
- else if (fmID == FILTER_METHOD_FFT)
- return (FILTER_METHOD_FFT_STR);
- else if (fmID == FILTER_METHOD_FFT_ZEROPAD_2)
- return (FILTER_METHOD_FFT_ZEROPAD_2_STR);
- else if (fmID == FILTER_METHOD_FFT_ZEROPAD_4)
- return (FILTER_METHOD_FFT_ZEROPAD_4_STR);
- else if (fmID == FILTER_METHOD_FFT_ZEROPAD_6)
- return (FILTER_METHOD_FFT_ZEROPAD_6_STR);
+ static const char *title = "";
- return (name);
+ if (filterID >= 0 && filterID < s_iFilterCount) {
+ return (s_aszFilterTitle [filterID]);
+ }
+ return (title);
}
-const SignalFilter::DomainID
+int
SignalFilter::convertDomainNameToID (const char* const domainName)
{
- DomainID dID = DOMAIN_INVALID;
-
- if (strcasecmp (domainName, DOMAIN_SPATIAL_STR) == 0)
- dID = DOMAIN_SPATIAL;
- else if (strcasecmp (domainName, DOMAIN_FREQUENCY_STR) == 0)
- dID = DOMAIN_FREQUENCY;
+ int dID = DOMAIN_INVALID;
+ for (int i = 0; i < s_iDomainCount; i++) {
+ if (strcasecmp (domainName, s_aszDomainName[i]) == 0) {
+ dID = i;
+ break;
+ }
+ }
return (dID);
}
const char *
-SignalFilter::convertDomainIDToName (const DomainID domain)
+SignalFilter::convertDomainIDToName (const int domainID)
{
- const char *name = "";
+ static const char *name = "";
- if (domain == DOMAIN_SPATIAL)
- return (DOMAIN_SPATIAL_STR);
- else if (domain == DOMAIN_FREQUENCY)
- return (DOMAIN_FREQUENCY_STR);
+ if (domainID >= 0 && domainID < s_iDomainCount)
+ return (s_aszDomainName [domainID]);
return (name);
}
-
-void
-SignalFilter::filterSignal (const float input[], double output[]) const
+const char *
+SignalFilter::convertDomainIDToTitle (const int domainID)
{
- if (m_idFilterMethod == FILTER_METHOD_CONVOLUTION) {
- for (int i = 0; i < m_nSignalPoints; i++)
- output[i] = convolve (input, m_signalInc, i, m_nSignalPoints);
- } else if (m_idFilterMethod == FILTER_METHOD_FOURIER) {
- complex<double> fftSignal[m_nSignalPoints];
- complex<double> complexOutput[m_nSignalPoints];
- complex<double> filteredSignal[m_nSignalPoints];
- finiteFourierTransform (input, fftSignal, m_nSignalPoints, -1);
- dotProduct (m_vecFilter, fftSignal, filteredSignal, m_nSignalPoints);
- finiteFourierTransform (filteredSignal, complexOutput, m_nSignalPoints, 1);
- for (int i = 0; i < m_nSignalPoints; i++) {
- output[i] = abs( complexOutput[i] );
- }
- } else if (m_idFilterMethod == FILTER_METHOD_FFT || FILTER_METHOD_FFT_ZEROPAD_2 || FILTER_METHOD_FFT_ZEROPAD_4) {
- fftw_complex in[m_nFilterPoints], out[m_nFilterPoints];
- for (int i = 0; i < m_nSignalPoints; i++) {
- in[i].re = input[i];
- in[i].im = 0;
- }
- for (int i = m_nSignalPoints; i < m_nFilterPoints; i++) {
- in[i].re = in[i].im = 0; // ZeroPad
- }
- fftw_one(m_planForward, in, out);
- for (int i = 0; i < m_nFilterPoints; i++) {
- out[i].re = m_vecFilter[i] * out[i].re / m_nSignalPoints;
- out[i].im = m_vecFilter[i] * out[i].im / m_nSignalPoints;
- }
- fftw_one(m_planBackward, out, in);
- for (int i = 0; i < m_nSignalPoints; i++)
- output[i] = sqrt (in[i].re * in[i].re + in[i].im * in[i].im);
- }
+ static const char *title = "";
+
+ if (domainID >= 0 && domainID < s_iDomainCount)
+ return (s_aszDomainTitle [domainID]);
+
+ return (title);
}
+
double
SignalFilter::response (double x)
{
double response = 0;
if (m_idDomain == DOMAIN_SPATIAL)
- response = spatialResponse (m_idFilter, m_bw, x, m_filterParam, m_numIntegral);
+ response = spatialResponse (m_idFilter, m_dBandwidth, x, m_dFilterParam);
else if (m_idDomain == DOMAIN_FREQUENCY)
- response = frequencyResponse (m_idFilter, m_bw, x, m_filterParam);
+ response = frequencyResponse (m_idFilter, m_dBandwidth, x, m_dFilterParam);
return (response);
}
-double
-SignalFilter::spatialResponse (FilterID filterID, double bw, double x, double param, int nIntegral = 0)
+double
+SignalFilter::spatialResponse (int filterID, double bw, double x, double param)
{
- if (nIntegral == 0)
+ if (haveAnalyticSpatial(filterID))
return spatialResponseAnalytic (filterID, bw, x, param);
else
- return spatialResponseCalc (filterID, bw, x, param, nIntegral);
+ return spatialResponseCalc (filterID, bw, x, param, N_INTEGRAL);
+}
+
+void
+SignalFilter::copyFilterData (double* pdFilter, const int iStart, const int nPoints) const
+{
+ int iFirst = clamp (iStart, 0, m_nFilterPoints - 1);
+ int iLast = clamp (iFirst + nPoints - 1, 0, m_nFilterPoints - 1);
+
+ for (int i = iFirst; i <= iLast; i++)
+ pdFilter[i - iFirst] = m_adFilter[i];
}
/* NAME
- * filter_spatial_response_calc Calculate filter by discrete inverse fourier
- * transform of filters's frequency
- * response
- *
- * SYNOPSIS
- * y = filter_spatial_response_calc (filt_type, x, m_bw, param, n)
- * double y Filter's response in spatial domain
- * int filt_type Type of filter (definitions in ct.h)
- * double x Spatial position to evaluate filter
- * double m_bw Bandwidth of window
- * double param General parameter for various filters
- * int n Number of points to calculate integrations
- */
-
-double
-SignalFilter::spatialResponseCalc (double x, double param, int nIntegral) const
+* filter_spatial_response_calc Calculate filter by discrete inverse fourier
+* transform of filters's frequency
+* response
+*
+* SYNOPSIS
+* y = filter_spatial_response_calc (filt_type, x, m_bw, param, n)
+* double y Filter's response in spatial domain
+* int filt_type Type of filter (definitions in ct.h)
+* double x Spatial position to evaluate filter
+* double m_bw Bandwidth of window
+* double param General parameter for various filters
+* int n Number of points to calculate integrations
+*/
+
+double
+SignalFilter::spatialResponseCalc (double x) const
{
- return (spatialResponseCalc (m_idFilter, m_bw, x, param, nIntegral));
+ return (spatialResponseCalc (m_idFilter, m_dBandwidth, x, m_dFilterParam, N_INTEGRAL));
}
-double
-SignalFilter::spatialResponseCalc (FilterID filterID, double bw, double x, double param, int n)
+double
+SignalFilter::spatialResponseCalc (int filterID, double bw, double x, double param, int n)
{
double zmin, zmax;
double zinc = (zmax - zmin) / (n - 1);
double z = zmin;
- double q [n];
+ double* q = new double [n];
for (int i = 0; i < n; i++, z += zinc)
q[i] = frequencyResponse (filterID, bw, z, param) * cos (TWOPI * z * x);
-
+
double y = 2 * integrateSimpson (zmin, zmax, q, n);
-
+ delete q;
+
return (y);
}
/* NAME
- * filter_frequency_response Return filter frequency response
- *
- * SYNOPSIS
- * h = filter_frequency_response (filt_type, u, m_bw, param)
- * double h Filters frequency response at u
- * int filt_type Type of filter
- * double u Frequency to evaluate filter at
- * double m_bw Bandwidth of filter
- * double param General input parameter for various filters
- */
-
-double
-SignalFilter::frequencyResponse (double u, double param) const
+* filter_frequency_response Return filter frequency response
+*
+* SYNOPSIS
+* h = filter_frequency_response (filt_type, u, m_bw, param)
+* double h Filters frequency response at u
+* int filt_type Type of filter
+* double u Frequency to evaluate filter at
+* double m_bw Bandwidth of filter
+* double param General input parameter for various filters
+*/
+
+double
+SignalFilter::frequencyResponse (double u) const
{
- return frequencyResponse (m_idFilter, m_bw, u, param);
+ return frequencyResponse (m_idFilter, m_dBandwidth, u, m_dFilterParam);
}
-double
-SignalFilter::frequencyResponse (FilterID filterID, double bw, double u, double param)
+double
+SignalFilter::frequencyResponse (int filterID, double bw, double u, double param)
{
double q;
double au = fabs (u);
+ double abw = fabs (bw);
switch (filterID) {
case FILTER_BANDLIMIT:
- if (au >= bw / 2)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0.;
else
q = 1;
break;
case FILTER_ABS_BANDLIMIT:
- if (au >= bw / 2)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0.;
else
q = au;
break;
case FILTER_TRIANGLE:
- if (au >= bw)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0;
else
- q = 1 - au / bw;
+ q = 1 - au / abw;
break;
case FILTER_COSINE:
- if (au >= bw / 2)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0;
else
- q = cos(PI * u / bw);
+ q = cos(PI * au / abw);
break;
case FILTER_ABS_COSINE:
- if (au >= bw / 2)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0;
else
- q = au * cos(PI * u / bw);
+ q = au * cos(PI * au / abw);
break;
case FILTER_SINC:
- q = bw * sinc (PI * bw * u, 1.);
+ q = abw * sinc (PI * abw * au, 1.);
break;
case FILTER_ABS_SINC:
- q = au * bw * sinc (PI * bw * u, 1.);
+ if (au >= (abw / 2) + F_EPSILON)
+ q = 0;
+ else
+ q = au * abw * sinc (PI * abw * au, 1.);
break;
+ case FILTER_HANNING:
+ param = 0.5;
+ // follow through to G_HAMMING
case FILTER_G_HAMMING:
- if (au >= bw / 2)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0;
else
- q = param + (1 - param) * cos (TWOPI * u / bw);
+ q = param + (1 - param) * cos (TWOPI * au / abw);
break;
+ case FILTER_ABS_HANNING:
+ param = 0.5;
+ // follow through to ABS_G_HAMMING
case FILTER_ABS_G_HAMMING:
- if (au >= bw / 2)
+ if (au >= (abw / 2) + F_EPSILON)
q = 0;
else
- q = au * (param + (1 - param) * cos(TWOPI * u / bw));
+ q = au * (param + (1 - param) * cos(TWOPI * au / abw));
break;
default:
q = 0;
sys_error (ERR_WARNING, "Frequency response for filter %d not implemented [filter_frequency_response]", filterID);
break;
}
+
return (q);
}
/* NAME
- * filter_spatial_response_analytic Calculate filter by analytic inverse fourier
- * transform of filters's frequency
- * response
- *
- * SYNOPSIS
- * y = filter_spatial_response_analytic (filt_type, x, m_bw, param)
- * double y Filter's response in spatial domain
- * int filt_type Type of filter (definitions in ct.h)
- * double x Spatial position to evaluate filter
- * double m_bw Bandwidth of window
- * double param General parameter for various filters
- */
-
-double
-SignalFilter::spatialResponseAnalytic (double x, double param) const
+* filter_spatial_response_analytic Calculate filter by analytic inverse fourier
+* transform of filters's frequency
+* response
+*
+* SYNOPSIS
+* y = filter_spatial_response_analytic (filt_type, x, m_bw, param)
+* double y Filter's response in spatial domain
+* int filt_type Type of filter (definitions in ct.h)
+* double x Spatial position to evaluate filter
+* double m_bw Bandwidth of window
+* double param General parameter for various filters
+*/
+
+double
+SignalFilter::spatialResponseAnalytic (double x) const
{
- return spatialResponseAnalytic (m_idFilter, m_bw, x, param);
+ return spatialResponseAnalytic (m_idFilter, m_dBandwidth, x, m_dFilterParam);
+}
+
+const bool
+SignalFilter::haveAnalyticSpatial (int filterID)
+{
+ bool haveAnalytic = false;
+
+ switch (filterID) {
+ case FILTER_BANDLIMIT:
+ case FILTER_TRIANGLE:
+ case FILTER_COSINE:
+ case FILTER_G_HAMMING:
+ case FILTER_HANNING:
+ case FILTER_ABS_BANDLIMIT:
+ case FILTER_ABS_COSINE:
+ case FILTER_ABS_G_HAMMING:
+ case FILTER_ABS_HANNING:
+ case FILTER_SHEPP:
+ case FILTER_SINC:
+ haveAnalytic = true;
+ break;
+ default:
+ break;
+ }
+
+ return (haveAnalytic);
}
-double
-SignalFilter::spatialResponseAnalytic (FilterID filterID, double bw, double x, double param)
+double
+SignalFilter::spatialResponseAnalytic (int filterID, double bw, double x, double param)
{
double q, temp;
double u = TWOPI * x;
case FILTER_COSINE:
q = sinc(b-u,w) + sinc(b+u,w);
break;
+ case FILTER_HANNING:
+ param = 0.5;
+ // follow through to G_HAMMING
case FILTER_G_HAMMING:
q = 2 * param * sin(u*w)/u + (1-param) * (sinc(b2-u, w) + sinc(b2+u, w));
break;
case FILTER_ABS_COSINE:
q = integral_abscos(b-u,w) + integral_abscos(b+u,w);
break;
+ case FILTER_ABS_HANNING:
+ param = 0.5;
+ // follow through to ABS_G_HAMMING
case FILTER_ABS_G_HAMMING:
q = 2 * param * integral_abscos(u,w) +
(1-param)*(integral_abscos(u-b2,w)+integral_abscos(u+b2,w));
q = 0;
break;
}
-
- return (q);
-}
-
-
-/* NAME
- * sinc Return sin(x)/x function
- *
- * SYNOPSIS
- * v = sinc (x, mult)
- * double v sinc value
- * double x, mult
- *
- * DESCRIPTION
- * v = sin(x * mult) / x;
- */
-
-/* NAME
- * integral_abscos Returns integral of u*cos(u)
- *
- * SYNOPSIS
- * q = integral_abscos (u, w)
- * double q Integral value
- * double u Integration variable
- * double w Upper integration boundary
- *
- * DESCRIPTION
- * Returns the value of integral of u*cos(u)*dV for V = 0 to w
- */
-
-double
-SignalFilter::integral_abscos (double u, double w)
-{
- return (fabs (u) > F_EPSILON
- ? (cos(u * w) - 1) / (u * u) + w / u * sin (u * w)
- : (w * w / 2));
-}
-
-
-/* NAME
- * convolve Discrete convolution of two functions
- *
- * SYNOPSIS
- * r = convolve (f1, f2, dx, n, np, func_type)
- * double r Convolved result
- * double f1[], f2[] Functions to be convolved
- * double dx Difference between successive x values
- * int n Array index to center convolution about
- * int np Number of points in f1 array
- * int func_type EVEN or ODD or EVEN_AND_ODD function f2
- *
- * NOTES
- * f1 is the projection data, its indices range from 0 to np - 1.
- * The index for f2, the filter, ranges from -(np-1) to (np-1).
- * There are 3 ways to handle the negative vertices of f2:
- * 1. If we know f2 is an EVEN function, then f2[-n] = f2[n].
- * All filters used in reconstruction are even.
- * 2. If we know f2 is an ODD function, then f2[-n] = -f2[n]
- * 3. If f2 is both ODD AND EVEN, then we must store the value of f2
- * for negative indices. Since f2 must range from -(np-1) to (np-1),
- * if we add (np - 1) to f2's array index, then f2's index will
- * range from 0 to 2 * (np - 1), and the origin, x = 0, will be
- * stored at f2[np-1].
- */
-
-double
-SignalFilter::convolve (const double func[], const double dx, const int n, const int np) const
-{
- double sum = 0.0;
-
-#if UNOPTIMIZED_CONVOLUTION
- for (int i = 0; i < np; i++)
- sum += func[i] * m_vecFilter[n - i + (np - 1)];
-#else
- double* f2 = m_vecFilter + n + (np - 1);
- for (int i = 0; i < np; i++)
- sum += *func++ * *f2--;
-#endif
-
- return (sum * dx);
+ return (q);
}
-double
-SignalFilter::convolve (const float func[], const double dx, const int n, const int np) const
-{
- double sum = 0.0;
-
-#if UNOPTIMIZED_CONVOLUTION
-for (int i = 0; i < np; i++)
- sum += func[i] * m_vecFilter[n - i + (np - 1)];
-#else
-double* f2 = m_vecFilter + n + (np - 1);
-for (int i = 0; i < np; i++)
- sum += *func++ * *f2--;
-#endif
-
- return (sum * dx);
-}
+// Functions that are inline in filter.h
-void
-SignalFilter::finiteFourierTransform (const float input[], complex<double> output[], const int n, int direction)
-{
- if (direction < 0)
- direction = -1;
- else
- direction = 1;
-
- double angleIncrement = 2 * PI / n;
- for (int i = 0; i < n; i++) {
- double sumReal = 0;
- double sumImag = 0;
- for (int j = 0; j < n; j++) {
- double angle = i * j * angleIncrement * direction;
- sumReal += input[j] * cos(angle);
- sumImag += input[j] * sin(angle);
- }
- if (direction < 0) {
- sumReal /= n;
- sumImag /= n;
- }
- output[i] = complex<double> (sumReal, sumImag);
- }
-}
+// sinc Return sin(x)/x function
+// v = sinc (x, mult)
+// Calculates sin(x * mult) / x;
-void
-SignalFilter::finiteFourierTransform (const complex<double> input[], complex<double> output[], const int n, int direction)
-{
- if (direction < 0)
- direction = -1;
- else
- direction = 1;
-
- double angleIncrement = 2 * PI / n;
- for (int i = 0; i < n; i++) {
- complex<double> sum (0,0);
- for (int j = 0; j < n; j++) {
- double angle = i * j * angleIncrement * direction;
- complex<double> exponentTerm (cos(angle), sin(angle));
- sum += input[j] * exponentTerm;
- }
- if (direction < 0) {
- sum /= n;
- }
- output[i] = sum;
- }
-}
+// integral_abscos Returns integral of u*cos(u)
+//
+// q = integral_abscos (u, w)
+// double q Integral value
+// double u Integration variable
+// double w Upper integration boundary
+// Returns the value of integral of u*cos(u)*dV for V = 0 to w
-void
-SignalFilter::finiteFourierTransform (const float input[], complex<double> output[], int direction) const
-{
- if (direction < 0)
- direction = -1;
- else
- direction = 1;
-
- for (int i = 0; i < m_nSignalPoints; i++) {
- double sumReal = 0, sumImag = 0;
- for (int j = 0; j < m_nSignalPoints; j++) {
- int tableIndex = i * j;
- if (direction > 0) {
- sumReal += input[i] * m_vecFourierCosTable[tableIndex];
- sumImag += input[i] * m_vecFourierSinTable[tableIndex];
- } else {
- sumReal += input[i] * m_vecFourierCosTable[tableIndex];
- sumImag -= input[i] * m_vecFourierSinTable[tableIndex];
- }
- }
- if (direction < 0) {
- sumReal /= m_nSignalPoints;
- sumImag /= m_nSignalPoints;
- }
- output[i] = complex<double> (sumReal, sumImag);
- }
-}
-// (a+bi) * (c + di) = (ac - db) + (bc + da)i
-#if 0
-void
-SignalFilter::finiteFourierTransform (const complex<double> input[], complex<double> output[], int direction) const
-{
- if (direction < 0)
- direction = -1;
- else
- direction = 1;
-
- for (int i = 0; i < m_nSignalPoints; i++) {
- double sumReal = 0, sumImag = 0;
- for (int j = 0; j < m_nSignalPoints; j++) {
- int tableIndex = i * j;
- if (direction > 0) {
- sumReal += input[i] * m_vecFourierCosTable[tableIndex];
- sumImag += input[i] * m_vecFourierSinTable[tableIndex];
- } else {
- sumReal += input[i] * m_vecFourierCosTable[tableIndex];
- sumImag -= input[i] * m_vecFourierSinTable[tableIndex];
- }
- }
- if (direction > 0) {
- sumReal /= m_nSignalPoints;
- sumImag /= m_nSignalPoints;
- }
- output[i] = complex<double> (sumReal, sumImag);
- }
-}
-#endif
-void
-SignalFilter::dotProduct (const double v1[], const complex<double> v2[], complex<double> output[], const int n)
-{
- for (int i = 0; i < n; i++)
- output[i] = v1[i] * v2[i];
-}
projects / ctsim.git / blobdiff