Event Detection: Qrs-Complexes in Ecg Signals - microLab

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BioMedSigProcAnaGeneral: Poles• complex-conjugate pole-pair on unit circlez p1 = e jϕ ,z p2 = e −jϕ = z ∗ p1• thendenominator = ( z − e jϕ) ( z − e −jϕ)= z 2 − ( e jϕ + e −jϕ) z + 1= z 2 − 2 cosϕz + 1• has (integer) coefficients ∈ {0, ±1, ±2} only forϕ cosϕ 2 cosϕ±0 ◦ 1 2±60 ◦ 1/2 1±90 ◦ 0 0±120 ◦ −1/2 −1±180 ◦ −1 −2Note that the constraints on possible pole locations, whichare given in the above slide, lead to corresponding constraintson the choice of sampling rates if we need to process continuoustime(analog) signals by discrete-time filters, 6 and if, therefore,natural (physical) frequencies dictate the useful pole locations;6 Although there are other occasions, we have in biomedical signal processingalways, to our knowledge, the situation where the signals to beprocessed are in the first instance analog signals.6 EventDet 22 2014
BioMedSigProcAnasee our exemplifying discussion on the the bandpass filter of thePan-Tompkins Qrs detection algorithm given on page 42.Also note that we compile, later on page 27 and after a correspondingdiscussion on “general zeros,” the transfer functionsthat can be realized with “integer filters.”General: Poles (cont’d)• possible pole locations for integer polynomial-coefficientsj×× ××2-fold2-fold.×1×××6 EventDet 23 2014
Page 4 and 5: BioMedSigProcAnaExamples of Events:
Page 6: BioMedSigProcAnaDetector-Critical T
Page 10: BioMedSigProcAnaQrs Detection as an
Page 13 and 14: BioMedSigProcAnaThe Algorithm: Pre-
Page 15 and 16: BioMedSigProcAnaanother three-point
Page 17 and 18: BioMedSigProcAnademand on preservat
Page 19 and 20: BioMedSigProcAnaSimple Example (con
Page 21 and 22: BioMedSigProcAnawhereas the form (1
Page 23: BioMedSigProcAnaSimple Example (con
Page 27 and 28: BioMedSigProcAnaExample: Zeros for
Page 29 and 30: BioMedSigProcAnaGeneral: Transfer F
Page 31 and 32: BioMedSigProcAnaWe present the algo
Page 33 and 34: BioMedSigProcAnaBandpass Filter: Th
Page 37 and 38: BioMedSigProcAnawhich delays each s
Page 41 and 42: BioMedSigProcAnarealized highpass f
Page 43 and 44: BioMedSigProcAnafrom the delayed in
Page 45 and 46: BioMedSigProcAnafrequency of ˆω r
Page 47 and 48: BioMedSigProcAnaThe Derivative Oper
Page 49 and 50: BioMedSigProcAnaThe Moving-Window I
Page 51 and 52: BioMedSigProcAnaWe also note that i
Page 53 and 54: BioMedSigProcAnaSampling-Rate Conve
Page 55 and 56: BioMedSigProcAnathat is, the moving
Page 57 and 58: BioMedSigProcAnato a Cic-filter str
Page 59 and 60: BioMedSigProcAna[Goe14b] Josef Goet

Event Detection: Qrs-Complexes in Ecg Signals - microLab

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