Bigot, Jérémie Fréchet means of curves for signal averaging and application to ECG data analysis. (2013) Annals of Applied Statistics, 7 (4). 2384-2401. ISSN 1932-6157
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(Document in English)
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Official URL: http://dx.doi.org/10.1214/13-AOAS676
Abstract
Signal averaging is the process that consists in computing a mean shape from a set of noisy signals. In the presence of geometric variability in time in the data, the usual Euclidean mean of the raw data yields a mean pattern that does not reflect the typical shape of the observed signals. In this setting, it is necessary to use alignment techniques for a precise synchronization of the signals, and then to average the aligned data to obtain a consistent mean shape. In this paper, we study the numerical performances of Fréchet means of curves which are extensions of the usual Euclidean mean to spaces endowed with non-Euclidean metrics. This yields a new algorithm for signal averaging and for the estimation of the time variability of a set of signals. We apply this approach to the analysis of heartbeats from ECG records.
Item Type: | Article |
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Additional Information: | Thanks to Institute of Mathematical Statistics editor. The definitive version is available at http://projecteuclid.org/info/euclid.aoas |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
Laboratory name: | |
Statistics: | download |
Deposited On: | 26 May 2014 13:54 |
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