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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 Formulation
2.Electro Cardio Gram
i. How the heart works?
ii. Electrical Conduction System
iii. Arrhythmias
3. TEO (Teager Energy Operator)
i. Signal energy
ii. Teager’s Energy Operator
a. Continuous TEO
b. Discrete TEO
- Generalization
iii. T-test & Scatter plot
a. Test results on different MIT-BIH data base
b. 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 signal
S[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
ECG
Structure 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
repolarization
T 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 energy
Energy of the signal over some time 2T
Fourier transform of the signal
S[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 data
Acquisition
transducer
MIT-BHT database
Teager
Operator
T-
test
Scatter
plot
BLOCK DIAGRAM
Energy in
TD & FD
arrhythmia detection
T-test & Scatter plot
 T-test
Normal Data
Arrhythmia data Te in time domain
Te in frequency domainFFT
n n
k
k
T-test & Scatter plot
 T-test
Te in time domain
Te in frequency domain
Arrhythmia data
FFT
LBBB
n n
k
k
T-test & Scatter plot
 T-test
Te in time domain
Te in frequency domainFFT
Arrhythmia data
PVC
n n
k
k
T-test & Scatter plot
Te in time domain
Te in frequency domainFFT
Arrhythmia data
RBBB
n n
k
k
T-test & Scatter plot
 Scatter Plot
Total of 67960 beats
55465 Normal
12495 arrhythmia
3685 paced
3270 LBBB
2280 RBBB
3260 PVC
Features observed
 Accuracy
 Sensitivity
 Specificity
95%
80%
100%
THANK
Q ?

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TEO modelling for non-Linear signals