Go to the documentation of this file.00001 #include "RecoLocalTracker/SiStripRecHitConverter/interface/CrosstalkInversion.h"
00002 #include "FWCore/Utilities/interface/isFinite.h"
00003
00004 namespace reco {
00005
00006 std::vector<stats_t<float> > InverseCrosstalkMatrix::
00007 unfold(const std::vector<uint8_t>& q, const float x) {
00008 const stats_t<float> suppressed(-5,100);
00009 const stats_t<float> saturated(254,400);
00010 #define STATS(value) ( (value<254) ? stats_t<float>(value) : saturated )
00011
00012 const unsigned N=q.size();
00013 std::vector<stats_t<float> > Q(N+2,stats_t<float>(0));
00014 Q[0] = Q[N+1] = suppressed;
00015
00016 if(N==1)
00017 Q[1] = STATS(q[0])/(1-2*x);
00018 else if(N==2) {
00019 const double A=1-2*x;
00020 const stats_t<float> q0 = STATS(q[0]);
00021 const stats_t<float> q1 = STATS(q[1]);
00022 Q[1] = ( A*q0 -x*q1 ) / (A*A-x*x);
00023 Q[2] = ( A*q1 -x*q0 ) / (A*A-x*x);
00024 }
00025 else {
00026 const InverseCrosstalkMatrix inverse(N,x);
00027 for(unsigned i=0; i<(N+1)/2; i++) {
00028 for(unsigned j=i; j<N-i; j++) {
00029 const float Cij = inverse(i+1,j+1);
00030 Q[i+1] += Cij * STATS(q[ j ]) ; if( i!=j)
00031 Q[j+1] += Cij * STATS(q[ i ]) ; if( N!=i+j+1) {
00032 Q[N-i] += Cij * STATS(q[N-j-1]) ; if( i!=j)
00033 Q[N-j] += Cij * STATS(q[N-i-1]) ;
00034 }
00035 }
00036 }
00037 }
00038 #undef STATS
00039 return Q;
00040 }
00041
00042 InverseCrosstalkMatrix::
00043 InverseCrosstalkMatrix(const unsigned N, const float x)
00044 : N( x>0 ? N : 0 ),
00045 sq( sqrt(-x*4+1)),
00046 lambdaP( 1+(1+sq)/(-x*2) ),
00047 lambdaM( 1+(1-sq)/(-x*2) ),
00048 denominator( sq * ( pow(lambdaP,N+1) - pow(lambdaM,N+1) ) )
00049 {}
00050
00051 float InverseCrosstalkMatrix::
00052 operator()(const unsigned i, const unsigned j) const
00053 { return N==0 || edm::isNotFinite(denominator) ? i==j : i>=j ? element(i,j) : element(j,i) ; }
00054
00055 inline
00056 float InverseCrosstalkMatrix::
00057 element(const unsigned i, const unsigned j) const
00058 { return ( pow(lambdaM,N+1-i) - pow(lambdaP,N+1-i) ) * ( pow(lambdaM,j) - pow(lambdaP,j) ) / denominator; }
00059
00060 }