On the Accuracy of Representing Heartbeats with Hermite Basis Functions

David G. Márquez, Abraham Otero, Paulo Félix, Constantino A. García

2013

Abstract

Automatic ECG analysis requires choosing a representation for heartbeats. A common approach is using some basis of functions to represent the heartbeat as a linear combination of these functions. The coefficients of the linear combination are used as the features that represent the heartbeat, providing a very compact representation. The most used basis of functions is the one made up of the Hermite functions. Some authors have used as few as 3 Hermite polynomials to represent each heartbeat, while others have used as many as 20. Often little or no justification for the choice of the number of polynomials is given. This paper aims to analyze the impact of using a certain number Hermite polynomials on the accuracy of heartbeat representation. Tests were run fitting the heartbeats of the MIT-BIH arrhythmia database with a number of polynomials ranging from 2 to 20. Three different strategies to determine the heartbeat’s position were used. The fitting errors are reported here. Based on these results, some guidelines to choose a suitable number of Hermite polynomials for different applications are given.

Paper Citation

in Harvard Style

G. Márquez D., Otero A., Félix P. and A. García C. (2013). On the Accuracy of Representing Heartbeats with Hermite Basis Functions . In Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2013) ISBN 978-989-8565-36-5, pages 338-341. DOI: 10.5220/0004247503380341

in Bibtex Style

@conference{biosignals13,
author={David G. Márquez and Abraham Otero and Paulo Félix and Constantino A. García},
title={On the Accuracy of Representing Heartbeats with Hermite Basis Functions},
booktitle={Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2013)},
year={2013},
pages={338-341},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004247503380341},
isbn={978-989-8565-36-5},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2013)
TI - On the Accuracy of Representing Heartbeats with Hermite Basis Functions
SN - 978-989-8565-36-5
AU - G. Márquez D.
AU - Otero A.
AU - Félix P.
AU - A. García C.
PY - 2013
SP - 338
EP - 341
DO - 10.5220/0004247503380341