Objective of this Project is to analyze noise free ECG signal and to discriminate the arrhythmia data from normal sinus rhythm data using Teger Energy Operator. ECG data is characterized by its nonlinear dynamic behavior, which shows significant changes between normal and arrhythmia data.
2. 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
3. Aim & Introduction
Objective of this project is to analyze noise free ECG signal
and to discriminate the arrhythmia data from normal sinus
rhythm data.
4. 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.
5. 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
13. 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.
14. 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