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AnalysisSrpa.cpp
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AnalysisSrpa.cpp
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#include "AnalysisSrpa.h"
#include "IPlotFactory.h"
#include "Logger.h"
#include "SineGenerator.h"
#include "SpectralReassignmentTransform.h"
#include "SortCache.h"
#include "SrSpecPeakAlgorithm.h"
#include "Utils.h"
namespace Analysis
{
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
/// constructor
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
AnalysisSrpa::AnalysisSrpa( const std::string& name, const AlgorithmBase* parent ) :
AlgorithmBase( name, parent ),
m_fourierSize( 1024 ),
m_zeroPadSize( 0 * m_fourierSize ),
m_amplitude( 1 ),
m_samplingInfo( 44100 )
{}
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
/// setFourierConfig
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void AnalysisSrpa::setFourierConfig( size_t fourierSize, size_t numSamplesZeroPadding )
{
m_fourierSize = fourierSize;
m_zeroPadSize = numSamplesZeroPadding;
}
/// Correction factor is dependent on number of zero padding samples.
/// The correction factor for zeropadding = 0 has been added to the SrSpecPeakAlgorithm
/// Zeropadding = 0: 3.95239, relative uncertainty on amp +- 0.058789
/// Zeropadding = 1: 3.76495
/// Zeropadding = 3: 3.71889
/// Amplitude estimate is independent of phase.
/// The correction factor and relative uncertainty are independent of the amplitude.
/// Min frequency with reasonable error at 1024 samples = 30 Hz
/// Min frequency with reasonable error at 512 samples = 60 Hz
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
/// studyFrequencyPerformance
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void AnalysisSrpa::studyFrequencyPerformance( const std::vector< double >& frequencies )
{
Synthesizer::SineGenerator generator( m_samplingInfo );
FeatureAlgorithm::SrSpecPeakAlgorithm peakAlg( 0.25, "PeakAlg", this );
WaveAnalysis::SpectralReassignmentTransform transform( m_samplingInfo, m_fourierSize, m_zeroPadSize, 1 );
RealVector relAmpErrorVec( frequencies.size() );
RealVector deltaFrequency( frequencies.size() );
for ( size_t iFreq = 0; iFreq != frequencies.size(); ++iFreq )
{
double frequency = frequencies[ iFreq ];
generator.setFrequency( frequency );
generator.setAmplitude( m_amplitude );
RawPcmData::Ptr data = generator.generate( m_fourierSize );
WaveAnalysis::StftData::Ptr stftData = transform.execute( *data );
const WaveAnalysis::SrSpectrum& spectrum = stftData->getSrSpectrum( 0 );
const std::vector< Feature::SrSpecPeak >& peaks = peakAlg.execute( spectrum );
getLogger() << Msg::Info << "----------------------------------------" << Msg::EndReq;
getLogger() << Msg::Info << "Truth: frequency = " << frequency << ", amplitude = " << m_amplitude << Msg::EndReq;
for ( size_t i = 0; i < peaks.size(); ++i )
{
double recoAmp = peaks[ i ].getHeight() / m_fourierSize;
getLogger() << Msg::Info << "Peak " << i << ": frequency = " << peaks[ i ].getFrequency() << ", amplitude " << recoAmp << Msg::EndReq;
if ( recoAmp > 0.01 )
{
double relAmpError = recoAmp / m_amplitude - 1;
relAmpErrorVec[ iFreq ] = relAmpError;
deltaFrequency[ iFreq ] = frequency - peaks[ i ].getFrequency();
}
}
}
double min = Utils::getMinValue( relAmpErrorVec );
double max = Utils::getMaxValue( relAmpErrorVec );
Math::RegularAccumArray hist( 50, min - 0.01, max + 0.01 );
double avgRelAmpError = 0;
double relAmpError2 = 0;
for ( size_t i = 0; i < relAmpErrorVec.size(); ++i )
{
avgRelAmpError += relAmpErrorVec[ i ];
relAmpError2 += relAmpErrorVec[ i ] * relAmpErrorVec[ i ];
hist.add( relAmpErrorVec[ i ], 1 );
}
avgRelAmpError /= relAmpErrorVec.size();
double relAmpVariance = relAmpError2 - avgRelAmpError * avgRelAmpError * relAmpErrorVec.size();
relAmpVariance /= relAmpErrorVec.size();
getLogger() << Msg::Info << " --- Statistics --- " << Msg::EndReq;
getLogger() << Msg::Info << "Average of relative amplitude error = " << avgRelAmpError << Msg::EndReq;
getLogger() << Msg::Info << "Uncertainty +- " << sqrt( relAmpVariance ) << Msg::EndReq;
double proposedFactor = avgRelAmpError + 1;
getLogger() << Msg::Info << "Proposed factor = " << 1 / proposedFactor << Msg::EndReq;
gPlotFactory().createPlot( getName() + "/Amp mismatch" );
gPlotFactory().createHistogram( hist );
gPlotFactory().createPlot( getName() + "/RelAmpError vs Frequency" );
gPlotFactory().createGraph( frequencies, relAmpErrorVec );
gPlotFactory().createPlot( getName() + "/Delta frequency vs Frequency" );
gPlotFactory().createGraph( frequencies, deltaFrequency );
}
/// Quality classification enumeration of twin peak detection.
enum HistStatus
{
NotEnoughPeaks = 0,
PeaksIncorrect,
PeaksCorrect,
NumHistStatusItems
};
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
/// studyTwinPeakPerformance
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void AnalysisSrpa::studyTwinPeakPerformance( const std::vector< double >& frequencies, const std::vector< double >& frequencyDifference, double amp2 )
{
Synthesizer::SineGenerator generator1( m_samplingInfo );
Synthesizer::SineGenerator generator2( m_samplingInfo );
FeatureAlgorithm::SrSpecPeakAlgorithm peakAlg( 0.25, "PeakAlg", this );
WaveAnalysis::SpectralReassignmentTransform transform( m_samplingInfo, m_fourierSize, m_zeroPadSize, 1 );
generator1.setAmplitude( m_amplitude );
generator2.setAmplitude( amp2 );
Math::RegularAccumArray statusHist( 3, -0.5, NumHistStatusItems - 0.5 );
/// Loop over frequencies.
for ( size_t iFreq = 0; iFreq < frequencies.size(); ++iFreq )
{
double frequency = frequencies[ iFreq ];
generator1.setFrequency( frequency );
RawPcmData::Ptr data1 = generator1.generate( m_fourierSize );
RealVector freqDiffX;
RealVector freqDiffYMin;
RealVector freqDiffYMax;
/// Loop over frequency differences.
for ( size_t iFreqDiff = 0; iFreqDiff < frequencyDifference.size(); ++iFreqDiff )
{
double frequency2 = generator1.getFrequency() + frequencyDifference[ iFreqDiff ];
generator2.setFrequency( frequency2 );
RawPcmData::Ptr data2 = generator2.generate( m_fourierSize );
RawPcmData data( *data1 );
data.mixAdd( *data2 );
WaveAnalysis::StftData::Ptr stftData = transform.execute( data );
const WaveAnalysis::SrSpectrum& spectrum = stftData->getSrSpectrum( 0 );
FeatureAlgorithm::SrSpecPeakAlgorithm::Monitor* monitor = 0;
if ( iFreq == 0 && iFreqDiff == 2 )
{
monitor = new FeatureAlgorithm::SrSpecPeakAlgorithm::Monitor();
}
const std::vector< Feature::SrSpecPeak >& peaks = peakAlg.execute( spectrum, monitor );
if ( monitor )
{
monitor->createSpectrumPlot( getName() + "/FreqProx/FreqMonitor" );
delete monitor;
}
getLogger() << Msg::Info << "----------------------------------------" << Msg::EndReq;
getLogger() << Msg::Info << "iFreq = " << iFreq << ", iFreqDiff = " << iFreqDiff << Msg::EndReq;
getLogger() << Msg::Info << "Truth sinusoid 1: frequency = " << generator1.getFrequency() << ", amplitude = " << generator1.getAmplitude() << Msg::EndReq;
getLogger() << Msg::Info << "Truth sinusoid 2: frequency = " << generator2.getFrequency() << ", amplitude = " << generator2.getAmplitude() << Msg::EndReq;
RealVector peakAmps( peaks.size() );
for ( size_t iPeak = 0; iPeak < peaks.size(); ++iPeak )
{
peakAmps[ iPeak ] = peaks[ iPeak ].getHeight();
}
SortCache peakAmpsSc( peakAmps );
if ( peakAmpsSc.getSize() >= 2 )
{
double freqEstimate1 = peaks[ peakAmpsSc.getReverseSortedIndex( 0 ) ].getFrequency();
double freqEstimate2 = peaks[ peakAmpsSc.getReverseSortedIndex( 1 ) ].getFrequency();
double errDf1;
double errDf2;
int estimate1 = 2;
int estimate2 = 2;
if ( fabs( freqEstimate1 - frequency ) < fabs( freqEstimate1 - frequency2 ) )
{
estimate1 = 1;
errDf1 = freqEstimate1 - frequency;
errDf2 = freqEstimate2 - frequency2;
}
if ( fabs( freqEstimate2 - frequency ) < fabs( freqEstimate2 - frequency2 ) )
{
estimate2 = 1;
errDf1 = freqEstimate2 - frequency;
errDf2 = freqEstimate1 - frequency2;
}
if ( estimate1 != estimate2 )
{
statusHist.add( PeaksCorrect, 1 );
freqDiffX.push_back( frequencyDifference[ iFreqDiff ] );
freqDiffYMin.push_back( std::min( errDf1, errDf2 ) );
freqDiffYMax.push_back( std::max( errDf1, errDf2 ) );
}
else
{
statusHist.add( PeaksIncorrect, 1 );
}
}
else
{
statusHist.add( NotEnoughPeaks, 1 );
}
for ( size_t iPeak = 0; iPeak < peaks.size(); ++iPeak )
{
double recoAmp = peaks[ iPeak ].getHeight() / m_fourierSize;
getLogger() << Msg::Info << "Peak " << iPeak << ": frequency = " << peaks[ iPeak ].getFrequency() << ", amplitude " << recoAmp << Msg::EndReq;
}
} /// Loop over frequency differences.
std::ostringstream plotTitleFreqDifMin;
plotTitleFreqDifMin << getName() + "/FreqProx/FreqError" << frequency;
gPlotFactory().createPlot( plotTitleFreqDifMin.str() );
gPlotFactory().createGraph( freqDiffX, freqDiffYMin, Qt::blue );
gPlotFactory().createGraph( freqDiffX, freqDiffYMax, Qt::red );
} /// Loop over frequencies.
gPlotFactory().createPlot( getName() + "/FroxProx/CategorisedCounts" );
gPlotFactory().createHistogram( statusHist );
}
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
/// studyAmpBehaviour
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void AnalysisSrpa::studyAmpBehaviour( double frequency, double ampFracBegin, double ampFracEnd )
{
SamplingInfo samplingInfo;
FeatureAlgorithm::SrSpecPeakAlgorithm peakAlg( 0.25, "PeakAlg", this );
WaveAnalysis::SpectralReassignmentTransform transform( m_samplingInfo, m_fourierSize, m_zeroPadSize, 1 );
RawPcmData data( samplingInfo, m_fourierSize );
double ampStart = m_amplitude * ampFracBegin;
double ampEnd = m_amplitude * ampFracEnd;
double ampStep = ( ampStart- ampEnd ) / data.size();
double amp = ampStart;
double phase = 0;
double phaseStep = samplingInfo.getPhaseStepPerSample( frequency );
for ( size_t i = 0; i < data.size(); ++i )
{
data[ i ] = sin( phase ) * amp;
phase += phaseStep;
amp -= ampStep;
}
gPlotFactory().createPlot( getName() + "/AmpBehaviour/Data" );
gPlotFactory().createGraph( *data.copyToVectorData() );
WaveAnalysis::StftData::Ptr stftData = transform.execute( data );
const WaveAnalysis::SrSpectrum& spectrum = stftData->getSrSpectrum( 0 );
FeatureAlgorithm::SrSpecPeakAlgorithm::Monitor* monitor = 0;
monitor = new FeatureAlgorithm::SrSpecPeakAlgorithm::Monitor();
const std::vector< Feature::SrSpecPeak >& peaks = peakAlg.execute( spectrum, monitor );
/// Prevent compiler warning.
assert( &peaks );
if ( monitor )
{
monitor->createSpectrumPlot( getName() + "/AmpBehaviour/" );
delete monitor;
}
gPlotFactory().createScatter( spectrum.getFrequencies(), spectrum.getTimeCorrections() * 0.01 );
}
} /// namespace Analysis