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Direct Mathematical Method for Real-time Ischemic Detection from Electrocardiograms Using the Discrete Hermite Transform

Arichi, Maiko
http://rave.ohiolink.edu/etdc/view?acc_num=akron1313529081

Abstract Details

2011, Doctor of Philosophy, University of Akron, Applied Mathematics.
A real-time automated identification technique is developed for the detection of ischemic episodes in long term electrocardiographic (ECG) signals using mathematical expansions involving the Discrete Dilated Hermite Transform. The discrete Hermite functions are generated as eigenvectors of a symmetric tridiagonal matrix that commutes with the centered Fourier matrix. The Discrete Hermite Transform (DHmT) values are computed from a simple dot product between an individual ECG complex extracted from the European Society of Cardiology (ESC) ST-T database and the corresponding discrete Hermite function. These values are found to contain information about the ECG shape, highlighting changes between ST segment and T wave alterations which are the features of ischemic episodes. This information from the discrete Hermite transform, based on an orthonormal set of n-dimensional digital Hermite functions that serve as shape-identification functions, can be used to identify ischemic episodes from the ECG. The performance was analyzed in terms of sensitivity, specificity and positive predictive value.
Dale Mugler, Dr. (Advisor)
Gerald Young, Dr. (Committee Member)
Kevin Kreider, Dr. (Committee Member)
Daniel Sheffer, Dr. (Committee Member)
Rebecca Kuntz Willits, Dr. (Committee Member)
Joan Carletta, Dr. (Committee Member)
244 p.
Biomedical Engineering
Signal Processing; Hermite Transform

Recommended Citations

Citations

  • Arichi, M. (2011). Direct Mathematical Method for Real-time Ischemic Detection from Electrocardiograms Using the Discrete Hermite Transform [Doctoral dissertation, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1313529081

    APA Style (7th edition)

  • Arichi, Maiko. Direct Mathematical Method for Real-time Ischemic Detection from Electrocardiograms Using the Discrete Hermite Transform. 2011. University of Akron, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1313529081.

    MLA Style (8th edition)

  • Arichi, Maiko. "Direct Mathematical Method for Real-time Ischemic Detection from Electrocardiograms Using the Discrete Hermite Transform." Doctoral dissertation, University of Akron, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=akron1313529081

    Chicago Manual of Style (17th edition)

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© 2011, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.