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 ?