| 1 | /* ======================================================================== *\
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| 2 | !
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| 3 | ! *
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| 4 | ! * This file is part of CheObs, the Modular Analysis and Reconstruction
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| 5 | ! * Software. It is distributed to you in the hope that it can be a useful
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| 6 | ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes.
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| 7 | ! * It is distributed WITHOUT ANY WARRANTY.
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| 8 | ! *
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| 9 | ! * Permission to use, copy, modify and distribute this software and its
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| 10 | ! * documentation for any purpose is hereby granted without fee,
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| 11 | ! * provided that the above copyright notice appears in all copies and
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| 12 | ! * that both that copyright notice and this permission notice appear
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| 13 | ! * in supporting documentation. It is provided "as is" without express
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| 14 | ! * or implied warranty.
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| 15 | ! *
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| 16 | !
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| 17 | !
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| 18 | ! Author(s): Thomas Bretz, 1/2009 <mailto:tbretz@astro.uni-wuerzburg.de>
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| 19 | !
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| 20 | ! Copyright: CheObs Software Development, 2000-2009
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| 21 | !
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| 22 | !
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| 23 | \* ======================================================================== */
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| 24 |
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| 25 | //////////////////////////////////////////////////////////////////////////////
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| 26 | //
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| 27 | // MAnalogSignal
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| 28 | //
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| 29 | // This is the equivalent to an analog signal. The signal is stored by
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| 30 | // a sampling in equidistant bins.
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| 31 | //
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| 32 | //////////////////////////////////////////////////////////////////////////////
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| 33 | #include "MAnalogSignal.h"
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| 34 |
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| 35 | #include <TRandom.h>
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| 36 |
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| 37 | #include "MLog.h"
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| 38 | #include "MLogManip.h"
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| 39 |
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| 40 | #include "MSpline3.h"
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| 41 | #include "MDigitalSignal.h"
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| 42 |
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| 43 | #include "MExtralgoSpline.h"
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| 44 |
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| 45 | ClassImp(MAnalogSignal);
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| 46 |
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| 47 | using namespace std;
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| 48 |
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| 49 | // ------------------------------------------------------------------------
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| 50 | //
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| 51 | // Set the array length and the length of the buffers.
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| 52 | //
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| 53 | void MAnalogSignal::Set(UInt_t n)
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| 54 | {
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| 55 | // FIXME: Maybe we move this before initializing the spline
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| 56 | // with a check?
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| 57 | fDer1.Set(n);
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| 58 | fDer2.Set(n);
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| 59 |
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| 60 | MArrayF::Set(n);
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| 61 | }
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| 62 |
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| 63 | // ------------------------------------------------------------------------
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| 64 | //
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| 65 | // Evaluate the spline an add the result between t+xmin and t+xmax
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| 66 | // (xmin and xmax are the limits of the spline) to the signal.
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| 67 | // The spline is evaluated at the bin-center of the analog signal
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| 68 | // and multiplied by f.
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| 69 | //
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| 70 | void MAnalogSignal::AddPulse(const MSpline3 &spline, Float_t t, Float_t f)
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| 71 | {
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| 72 | // FIXME: This could be improved using a MExtralgoSpline with
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| 73 | // the identical stepping as the signal and we could use
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| 74 | // the integral instead of the pure y-value if we want.
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| 75 |
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| 76 | // Both in units of the sampling frequency
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| 77 | const Float_t start = t+spline.GetXmin();
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| 78 | const Float_t end = t+spline.GetXmax();
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| 79 |
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| 80 | /*const*/ Int_t first = TMath::CeilNint(start);
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| 81 | /*const*/ UInt_t last = TMath::CeilNint(end); // Ceil:< Floor:<=
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| 82 |
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| 83 | if (first<0 || last>GetSize())
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| 84 | {
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| 85 | gLog << err << "ERROR - AddPulse: Out of bounds, ";
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| 86 | gLog << "Win=[" << first << "," << last << "] N=" << GetSize() << " t=" << t;
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| 87 | gLog << " Spline=[" << spline.GetXmin() << "," << spline.GetXmax() << "]" << endl;
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| 88 |
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| 89 | if (first<0)
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| 90 | first=0;
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| 91 | if (last>GetSize())
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| 92 | last=GetSize();
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| 93 | }
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| 94 |
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| 95 | Float_t *arr = GetArray();
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| 96 | for (UInt_t i=first; i<last; i++)
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| 97 | arr[i] += spline.Eval(i-t)*f;
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| 98 | }
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| 99 |
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| 100 | // ------------------------------------------------------------------------
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| 101 | //
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| 102 | // Add a second analog signal. Just by addining it bin by bin.
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| 103 | //
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| 104 | void MAnalogSignal::AddSignal(const MAnalogSignal &s)
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| 105 | {
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| 106 | Add(s.GetArray(), s.fN);
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| 107 | }
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| 108 |
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| 109 | // Deprecated. Use MSimRandomPhotons instead
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| 110 | void MAnalogSignal::AddRandomPulses(const MSpline3 &spline, Float_t num)
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| 111 | {
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| 112 | // Average number (1./freq) of pulses per slice
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| 113 |
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| 114 | const Float_t start = 0 -spline.GetXmin();
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| 115 | const Float_t end = (fN-1)-spline.GetXmax();
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| 116 |
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| 117 | const UInt_t first = TMath::CeilNint(start);
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| 118 | const UInt_t last = TMath::CeilNint(end); // Ceil:< Floor:<=
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| 119 |
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| 120 | Double_t d = first;
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| 121 |
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| 122 | while (d<last)
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| 123 | {
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| 124 | d += gRandom->Exp(num);
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| 125 | AddPulse(spline, d);
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| 126 | }
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| 127 | }
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| 128 |
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| 129 | // ------------------------------------------------------------------------
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| 130 | //
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| 131 | // Add a random gaussian with amplitude and offset to every bin
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| 132 | // of the analog signal. The default offset is 0. The default amplitude 1.
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| 133 | //
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| 134 | void MAnalogSignal::AddGaussianNoise(Float_t amplitude, Float_t offset)
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| 135 | {
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| 136 | for (Float_t *ptr = GetArray(); ptr<GetArray()+fN; ptr++)
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| 137 | *ptr += gRandom->Gaus(offset, amplitude);
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| 138 | }
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| 139 |
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| 140 | // ------------------------------------------------------------------------
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| 141 | //
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| 142 | // The signal is evaluated using the spline MExtralgoSpline.
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| 143 | // Searching upwards from the beginning all points are calculated at
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| 144 | // which the spline is equal to threshold. After a rising edge
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| 145 | // a leading edge is searched. From this an MDigitalSignal is
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| 146 | // created and added to an newly created TObjArray. If len<0 then
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| 147 | // the signal length is equal to the time above threshold, otherwise
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| 148 | // the length is fixed to len. The start of the digital signal is the
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| 149 | // rising edge. If due to fixed length two digital signal overlap the
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| 150 | // digital signals are combined into one signal.
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| 151 | //
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| 152 | // For numerical reasons we have to avoid to find the same x-value twice.
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| 153 | // Therefor a "dead-time" of 1e-4 is implemented after each edge.
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| 154 | //
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| 155 | // The user is responsible of deleting the TObjArray.
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| 156 | //
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| 157 | TObjArray *MAnalogSignal::Discriminate(Float_t threshold, Float_t len) const
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| 158 | {
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| 159 | TObjArray *ttl = new TObjArray;
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| 160 | ttl->SetOwner();
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| 161 |
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| 162 | // The time after which we start searching for a falling or leading
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| 163 | // edge at threshold after a leading or falling edge respectively.
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| 164 | // This value has mainly numerical reasons. If starting the search
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| 165 | // too early we might end up in an endless loop finding the same
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| 166 | // value again and again. This just means that a glitch above or
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| 167 | // below the threshold which is shorter than this value can
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| 168 | // stay unnoticed. This shouldn't hurt.
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| 169 | const Double_t deadtime = 1e-4;
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| 170 |
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| 171 | // FIXME: Are local maximum/minima handled correctly?
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| 172 |
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| 173 | const MExtralgoSpline sp(GetArray(), fN, fDer1.GetArray(), fDer2.GetArray());
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| 174 |
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| 175 | Double_t x1 = 0;
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| 176 | Double_t x2 = 0;
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| 177 |
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| 178 | while (1)
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| 179 | {
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| 180 | x1 = sp.SearchYup(x2+deadtime, threshold);
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| 181 | if (x1<0)
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| 182 | break;
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| 183 |
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| 184 | const Bool_t rising = sp.Deriv1(x1)>0;
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| 185 | if (!rising)
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| 186 | {
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| 187 | // The last value might just have been a local max/min
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| 188 | // or its period was short than 1e-4
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| 189 | x2 = x1;
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| 190 | //gLog << warn << "Rising edge expected at " << x1 << " (after " << x2 << ", N=" << fN << ")" << endl;
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| 191 | continue;
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| 192 | }
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| 193 |
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| 194 | x2 = sp.SearchYup(x1+deadtime, threshold);
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| 195 | if (x2<0)
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| 196 | break;
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| 197 |
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| 198 | const Bool_t falling = sp.Deriv1(x2)<=0;
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| 199 | if (!falling)
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| 200 | {
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| 201 | // The last value might just have been a local max/min
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| 202 | // or its period was short than 1e-4
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| 203 | x1 = x2;
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| 204 | //gLog << warn << "Falling edge expected at " << x2 << " (after " << x1 << " N=" << fN << ")" << endl;
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| 205 | continue;
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| 206 | }
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| 207 |
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| 208 | MDigitalSignal *sig = new MDigitalSignal(x1, len>0?len:x2-x1);
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| 209 |
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| 210 | // In case of a fixed length we have to check for possible overlapping
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| 211 | if (len>0 && ttl->GetEntriesFast()>0)
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| 212 | {
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| 213 | // FIXME: What if in such a case the electronics is just dead?
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| 214 | MDigitalSignal *last = static_cast<MDigitalSignal*>(ttl->Last());
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| 215 | // Combine both signals to one if they overlap
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| 216 | if (last->Combine(*sig))
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| 217 | {
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| 218 | // Both signals overlap and have been combined into the existing one
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| 219 | delete sig;
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| 220 | continue;
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| 221 | }
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| 222 | // The signals don't overlap we add the new signal as usual
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| 223 | }
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| 224 |
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| 225 | // Add the new signal to the list of signals
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| 226 | ttl->Add(sig);
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| 227 | }
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| 228 |
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| 229 | if (x1>=0)
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| 230 | gLog << warn << "Falling edge expected before end at N=" << fN << "!" << endl;
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| 231 |
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| 232 | return ttl;
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| 233 | }
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