The use of a single continuous regularization parameter for the generalized eigensystem method

Author

Throne, RD ; Olson, LG ; Windle, Jr.

Author_Institution

Dept. of Electr. Eng., Nebraska Univ., Lincoln, NE, USA

fYear

2001

fDate

2001

Firstpage

517

Lastpage

520

Abstract

We have previously (1994, 1997, 1999, 2000) proposed the generalized eigensystem (GES) method as an alternative to Tikhonov regularization for various types of inverse problems in electrocardiography. In those studies, we truncated the number of modes used in GES to stabilize the inversion. However, often there is a significant decrease in performance when the number of modes to use is estimated using only the available data. We have modified our formulation of GES to use the same expansion vectors as before, but now the stabilization is performed by the inclusion of a single continuous regularization parameter. In this study, we compare the performance of GES using the optimal modal truncation and two different methods for choosing the single continuous regularization parameter

Keywords

biomedical engineering; eigenvalues and eigenfunctions; electrocardiography; inverse problems; stability; vectors; Tikhonov regularization; electrocardiography; expansion vectors; generalized eigensystem method; inverse problems; inversion stabilization; optimal modal truncation; performance; single continuous regularization parameter; truncated mode number; Degradation; Electrocardiography; Electrodes; Filtering; Finite element methods; Heart; Inverse problems; Low pass filters; Smoothing methods; Torso;

fLanguage

English

Publisher

ieee

Conference_Titel

Computers in Cardiology 2001

Conference_Location

Rotterdam

ISSN

0276-6547

Print_ISBN

0-7803-7266-2

Type

conf

DOI

10.1109/CIC.2001.977706

Filename

977706