TEO modelling for non-Linear signals
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Transcript of TEO modelling for non-Linear signals
TEO modeling for non-linear signals
TRIPURNA CHARY.D(10281A0402)
GOUTHAM.P(10281A04A9)
JAGADISH REDDY.N(11285A0404)
SURENDER.M(10281A04B4)
YESHWANTH.K(10281A0414)
Topics
1.Problem Formulation2.Electro Cardio Gram
i. How the heart works?ii. Electrical Conduction System iii. Arrhythmias
3. TEO (Teager Energy Operator)i. Signal energyii. Teager’s Energy Operator
a. Continuous TEOb. Discrete TEO
- Generalizationiii. T-test & Scatter plot
a. Test results on different MIT-BIH data baseb. Features observed
4.Conclusion
Aim & Introduction
Objective of this project is to analyze noise free ECG signal and to discriminate the arrhythmia data from normal sinus rhythm data.
Existing method
Fourier transform :
Fourier transform of the signalS[n]=DFT{S}
then, |S[n]|^2 represents the how much energy the signal contains at frequency band n.
INTRODUCTION
The Teager Energy Operator (TEO) is a non-linear operator
TEO provides an advantage over conventional Fourier analysis methods in capturing the characteristics of nonlinear systems
Basic Idea
ECGStructure of Heart
Functioning of heart
Electrical conduction System
SA node
AV node Bundle of his Left & Right bundle branches Purkinje fibers
Electrical Conduction System Waveforms
One complete cardiac cycle =P, Q, R, S, (QRS complex), and T wave
P wave Atrial depolarization (contraction) QRS Complex Ventricular depolarization, atrial
repolarizationT wave Ventricular repolarization (resting
phase)
Arrhythmias
Premature Ventricular Contraction(PVC)
Arrhythmias
Left Bundle Branch Block(LBBB)
Arrhythmias
Right Bundle Branch Block(RBBB)
TEO (Teager Energy Operator)
i. Signal energyEnergy of the signal over some time 2T
Fourier transform of the signalS[n]=DFT{S}
then, |S[n]|^2 represents the how much energy the signal contains at frequency band n.
Kaiser used the following differential equation as a starting point for the operator:
The solution of the above periodic oscillation is given by
The total energy of the object is in newtonian physics given as
Continuous TEO
In continuous time, we define the Teager Energy Operator to be
Discrete TEO
Generalization:
Basic definition for the discrete Teager Energy Operator:
For a digital signal x[n]
We get
&
Proposed System
ECG dataAcquisition
transducer
MIT-BHT database
TeagerOperator
T-test
Scatter plot
BLOCK DIAGRAM
Energy in TD & FD
arrhythmia detection
T-test & Scatter plot
T-testNormal Data
Arrhythmia data Te in time domain
Te in frequency domainFFTn n
kk
T-test & Scatter plot
T-testTe in time domain
Te in frequency domain
Arrhythmia data
FFT
LBBB
n n
kk
T-test & Scatter plot
T-testTe in time domain
Te in frequency domainFFT
Arrhythmia data
PVC
n n
kk
T-test & Scatter plot
Te in time domain
Te in frequency domainFFT
Arrhythmia data
RBBB
n n
kk
T-test & Scatter plot
Scatter Plot
Total of 67960 beats55465 Normal12495 arrhythmia
3685 paced3270 LBBB2280 RBBB3260 PVC
Features observed
Accuracy
Sensitivity
Specificity
95%
80%
100%
THANK
Q ?