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# TEO modelling for non-Linear signals

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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.

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### TEO modelling for non-Linear signals

1. 1. TEO modeling for non-linear signals TRIPURNA CHARY.D(10281A0402) GOUTHAM.P(10281A04A9) JAGADISH REDDY.N(11285A0404) SURENDER.M(10281A04B4) YESHWANTH.K(10281A0414)
2. 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. 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. 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. 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
6. 6. ECG Structure of Heart
7. 7. Functioning of heart
8. 8. Electrical conduction System SA node AV node Bundle of his Left & Right bundle branches Purkinje fibers
9. 9. 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)
10. 10. Arrhythmias Premature Ventricular Contraction(PVC)
11. 11. Arrhythmias Left Bundle Branch Block(LBBB)
12. 12. Arrhythmias Right Bundle Branch Block(RBBB)
13. 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. 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
15. 15. Continuous TEO In continuous time, we define the Teager Energy Operator to be
16. 16. Discrete TEO Generalization: Basic definition for the discrete Teager Energy Operator: For a digital signal x[n] We get &
17. 17. Proposed System ECG data Acquisition transducer MIT-BHT database Teager Operator T- test Scatter plot BLOCK DIAGRAM Energy in TD & FD arrhythmia detection
18. 18. T-test & Scatter plot  T-test Normal Data Arrhythmia data Te in time domain Te in frequency domainFFT n n k k
19. 19. T-test & Scatter plot  T-test Te in time domain Te in frequency domain Arrhythmia data FFT LBBB n n k k
20. 20. T-test & Scatter plot  T-test Te in time domain Te in frequency domainFFT Arrhythmia data PVC n n k k
21. 21. T-test & Scatter plot Te in time domain Te in frequency domainFFT Arrhythmia data RBBB n n k k
22. 22. T-test & Scatter plot  Scatter Plot Total of 67960 beats 55465 Normal 12495 arrhythmia 3685 paced 3270 LBBB 2280 RBBB 3260 PVC
23. 23. Features observed  Accuracy  Sensitivity  Specificity 95% 80% 100%
24. 24. THANK Q ?