slightly improvement the N0 estimate

This commit is contained in:
suter_a 2016-01-14 11:24:49 +01:00
parent 52e2c20527
commit fd655e720b
2 changed files with 68 additions and 7 deletions

View File

@ -43,8 +43,10 @@ using namespace std;
#include <TString.h>
#include <TObjArray.h>
#include <TObjString.h>
#include <TH1F.h>
#include "PMusr.h"
#include "PFourier.h"
#include "PRunSingleHistoRRF.h"
//--------------------------------------------------------------------------
@ -575,6 +577,8 @@ Bool_t PRunSingleHistoRRF::PrepareFitData(PRawRunData* runData, const UInt_t his
for (UInt_t i=0; i<fForward.size(); i++) {
rawNt.push_back(fForward[i]); // N(t) without any corrections
}
Double_t freqMax = GetMainFrequency(rawNt);
cout << "info> freqMax=" << freqMax << " (MHz)" << endl;
// initially fForward is the "raw data set" (i.e. grouped histo and raw runs already added) to be fitted. This means fForward = N(t) at this point.
@ -613,9 +617,10 @@ Bool_t PRunSingleHistoRRF::PrepareFitData(PRawRunData* runData, const UInt_t his
time_tau = (startTime + fTimeResolution * (i - fGoodBins[0])) / PMUON_LIFETIME;
exp_t_tau = exp(time_tau);
fForward[i] *= exp_t_tau;
fM.push_back(fForward[i]); // needed to estimate N0 later on
fMerr.push_back(exp_t_tau*sqrt(rawNt[i]));
fM.push_back(fForward[i]); // i.e. M(t) = [N(t)-Nbkg] exp(+t/tau); needed to estimate N0 later on
fMerr.push_back(exp_t_tau*sqrt(rawNt[i]-fBackground));
}
// calculate weights
for (UInt_t i=0; i<fMerr.size(); i++) {
if (fMerr[i] > 0.0)
@ -627,13 +632,14 @@ Bool_t PRunSingleHistoRRF::PrepareFitData(PRawRunData* runData, const UInt_t his
// 3) estimate N0
Double_t errN0 = 0.0;
Double_t n0 = EstimateN0(errN0);
Double_t n0 = EstimateN0(errN0, freqMax);
// 4a) A(t) = exp(+t/tau) [N(t)-Nbkg] / N0 - 1.0
for (Int_t i=fGoodBins[0]; i<=fGoodBins[1]; i++) {
fForward[i] = fForward[i] / n0 - 1.0;
}
/*
// make a DC correction of A(t) --> this is introduced to reduce ghost lines.
// This is a dirty trick and should be put on a better quantitative base!
Double_t dc_offset=0.0;
@ -645,6 +651,7 @@ Bool_t PRunSingleHistoRRF::PrepareFitData(PRawRunData* runData, const UInt_t his
for (Int_t i=fGoodBins[0]; i<=fGoodBins[1]; i++) {
fForward[i] -= dc_offset;
}
*/
// 4b) error estimate of A(t): errA(t) = exp(+t/tau)/N0 sqrt( N(t) + ([N(t)-N_bkg]/N0)^2 errN0^2 )
for (Int_t i=fGoodBins[0]; i<=fGoodBins[1]; i++) {
@ -1039,18 +1046,71 @@ void PRunSingleHistoRRF::GetProperFitRange(PMsrGlobalBlock *globalBlock)
}
}
//--------------------------------------------------------------------------
// GetMainFrequency (private)
//--------------------------------------------------------------------------
/**
* <p>gets the maximum frequency of the given data.
*
* \param raw data set.
*/
Double_t PRunSingleHistoRRF::GetMainFrequency(PDoubleVector &data)
{
Double_t freqMax = 0.0;
// create histo
Double_t startTime = (fGoodBins[0]-fT0s[0]) * fTimeResolution;
Int_t noOfBins = fGoodBins[1]-fGoodBins[0]+1;
TH1F *histo = new TH1F("data", "data", noOfBins, startTime-fTimeResolution/2.0, startTime+fTimeResolution/2.0+noOfBins*fTimeResolution);
for (Int_t i=fGoodBins[0]; i<=fGoodBins[1]; i++) {
histo->SetBinContent(i-fGoodBins[0]+1, data[i]);
}
// Fourier transform
PFourier *ft = new PFourier(histo, FOURIER_UNIT_FREQ);
ft->Transform(F_APODIZATION_STRONG);
// find frequency maximum
TH1F *power = ft->GetPowerFourier();
Double_t maxFreqVal = 0.0;
for (Int_t i=1; i<power->GetNbinsX(); i++) {
// ignore dc part at 0 frequency
if (i<power->GetNbinsX()-1) {
if (power->GetBinContent(i)>power->GetBinContent(i+1))
continue;
}
// check for maximum
if (power->GetBinContent(i) > maxFreqVal) {
maxFreqVal = power->GetBinContent(i);
freqMax = power->GetBinCenter(i);
}
}
// clean up
if (power)
delete power;
if (ft)
delete ft;
if (histo)
delete histo;
return freqMax;
}
//--------------------------------------------------------------------------
// EstimateN0 (private)
//--------------------------------------------------------------------------
/**
* <p>Estimate the N0 for the given run.
*
* \param sqrtNt
* \param errN0
*/
Double_t PRunSingleHistoRRF::EstimateN0(Double_t &errN0)
Double_t PRunSingleHistoRRF::EstimateN0(Double_t &errN0, Double_t freqMax)
{
Int_t endBin = N0EstimateEndTime / fTimeResolution - fGoodBins[0];
// endBin is estimated such that the number of full cycles (according to the maximum frequency of the data)
// is approximately the time N0EstimateEndTime.
Int_t endBin = (Int_t)round(N0EstimateEndTime / fTimeResolution * ceil(freqMax)/freqMax);
Double_t n0 = 0.0;
Double_t wN = 0.0;
for (Int_t i=0; i<endBin; i++) {

View File

@ -75,7 +75,8 @@ class PRunSingleHistoRRF : public PRunBase
virtual Bool_t GetProperT0(PRawRunData* runData, PMsrGlobalBlock *globalBlock, PUIntVector &histoNo);
virtual Bool_t GetProperDataRange();
virtual void GetProperFitRange(PMsrGlobalBlock *globalBlock);
virtual Double_t EstimateN0(Double_t &errN0);
virtual Double_t GetMainFrequency(PDoubleVector &data);
virtual Double_t EstimateN0(Double_t &errN0, Double_t freqMax);
virtual Bool_t EstimateBkg(UInt_t histoNo);
};