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IMAGING THE ELECTRICAL ACTIVITY OF THE HEART USING A KALMAN FILTER BASED APPROACH: COMPARISON OF RESULTS USING DIFFERENT STM'S
Date
2009-07-01
Author
Serinağaoğlu Doğrusöz, Yeşim
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Kalman filter based solutions have been of particular interest in inverse problem of Electrocardiography (ECG) in recent years. One of the major problems with this approach however is the determination of the state transition matrix (STM) that relates the epicardial potentials at the current time instant to the potentials at the previous time instant. In this work, we use the solutions of Tikhonov regularization and Bayes-MAP algorithm to construct a STM, and we use these STMs in Kalman filtering. Our results indicate that the Kalman filter that uses a STM obtained from Bayes-MAP solutions produces accurate solutions.
Subject Keywords
Kalman Filter
,
Bayes-MAP
,
Tikhonov Regularization
,
State Transition Matrix
,
Inverse ECG
URI
https://hdl.handle.net/11511/38490
DOI
https://doi.org/10.1109/isbi.2009.5193006
Conference Name
IEEE International Symposium on Biomedical Imaging - From Nano to Macro
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
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Aydin, Umit; Serinağaoğlu Doğrusöz, Yeşim (2009-09-12)
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STATISTICAL MODELING OF THE GEOMETRIC ERROR IN CARDIAC ELECTRICAL IMAGING
Aydin, Umit; Serinağaoğlu Doğrusöz, Yeşim (2009-07-01)
Kalman filter approach provides a natural way to include the spatio-temporal prior information in cardiac electrical imaging. This study focuses on the performance of Kalman filter approach with geometric errors present in inverse Electrocardiography (ECG) problem. The geometric errors considered here are the wrong determination of the heart's size and location. In addition to Kalman filtering, we also compare the performances of Tikhonov regularization and Bayesian MAP estimation when geometric errors are ...
Estimation of state transition matrix in the Kalman filter based inverse ECG solution with the help of training sets Ters EKG probleminin Kalman filtre ile çözümünde durum geçiş matrisinin eǧitici kümeler yardimi ile kestirimi
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Aydin, Ümit; Serinağaoğlu Doğrusöz, Yeşim (2010-07-15)
In this study some of the spatial and spatio-temporal methods for the solution of the inverse problem of electrocardiography (ECG) are compared with each other. Comparisons are also made for the cases with geometric errors, where the location of the heart is shifted for 10mm and the size of the heart is reduced by 5%. The compared methods are the Kalman filter and Bayesian maximum a posteriori estimation (MAP). Two different Bayesian-MAP algorithms are used. While one uses only spatial information the other...
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Y. Serinağaoğlu Doğrusöz, “IMAGING THE ELECTRICAL ACTIVITY OF THE HEART USING A KALMAN FILTER BASED APPROACH: COMPARISON OF RESULTS USING DIFFERENT STM’S,” presented at the IEEE International Symposium on Biomedical Imaging - From Nano to Macro, Boston, MA, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38490.