Methods for alignment of multi-class signal sets
(2003) In Signal Processing 83(5). p.983-1000- Abstract
- The paper treats jitter estimation for alignment of a set of signals which contains several unknown classes of waveforms. The motivating application is epileptic EEG spikes. where alignment prior to clustering and averaging is desired. The assumption that the signal waveforms are unknown precludes the use of classical techniques, notably matched filtering. Instead we treat two other classes of methods. In the first class the jitter of each signal is estimated with aid of the whole data set, using the Rayleigh quotient of the sample correlation matrix. The main idea of the paper is the suggestion of two such methods, consisting respectively of mean value computation and maximization of the Rayleigh quotient as a function of translation of a... (More)
- The paper treats jitter estimation for alignment of a set of signals which contains several unknown classes of waveforms. The motivating application is epileptic EEG spikes. where alignment prior to clustering and averaging is desired. The assumption that the signal waveforms are unknown precludes the use of classical techniques, notably matched filtering. Instead we treat two other classes of methods. In the first class the jitter of each signal is estimated with aid of the whole data set, using the Rayleigh quotient of the sample correlation matrix. The main idea of the paper is the suggestion of two such methods, consisting respectively of mean value computation and maximization of the Rayleigh quotient as a function of translation of a given signal. In the second class of methods each signal is processed individually, and one such method is estimation of the jitter of a signal by its centre of gravity. By means of deduction, simulations and evaluation on real life epileptic EEG signals, we show that the first class of methods is preferable to the second. Simulations also show that the method of maximization of the Rayleigh quotient seems to be a generally good method, which gives small estimation error and is applicable in a wide range of circumstances. For seven investigated sets of real life EEG data, the maximization algorithm turned out to give the best results, and improved alignment in the majority of signal clusters. (C) 2003 Elsevier Science B.V. All rights reserved. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/907677
- author
- Wahlberg, Patrik LU and Salomonsson, G
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- multi-class signal sets, clustering, alignment, Rayleigh, epileptic EEG spikes, quotient, time jitter
- in
- Signal Processing
- volume
- 83
- issue
- 5
- pages
- 983 - 1000
- publisher
- Elsevier
- external identifiers
-
- wos:000182104200008
- scopus:0037401287
- ISSN
- 0165-1684
- DOI
- 10.1016/S0165-1684(02)00501-7
- language
- English
- LU publication?
- yes
- id
- 709c0551-b7d6-4202-8e5c-4c628f9a6742 (old id 907677)
- date added to LUP
- 2016-04-01 16:53:08
- date last changed
- 2022-01-28 22:50:21
@article{709c0551-b7d6-4202-8e5c-4c628f9a6742,
abstract = {{The paper treats jitter estimation for alignment of a set of signals which contains several unknown classes of waveforms. The motivating application is epileptic EEG spikes. where alignment prior to clustering and averaging is desired. The assumption that the signal waveforms are unknown precludes the use of classical techniques, notably matched filtering. Instead we treat two other classes of methods. In the first class the jitter of each signal is estimated with aid of the whole data set, using the Rayleigh quotient of the sample correlation matrix. The main idea of the paper is the suggestion of two such methods, consisting respectively of mean value computation and maximization of the Rayleigh quotient as a function of translation of a given signal. In the second class of methods each signal is processed individually, and one such method is estimation of the jitter of a signal by its centre of gravity. By means of deduction, simulations and evaluation on real life epileptic EEG signals, we show that the first class of methods is preferable to the second. Simulations also show that the method of maximization of the Rayleigh quotient seems to be a generally good method, which gives small estimation error and is applicable in a wide range of circumstances. For seven investigated sets of real life EEG data, the maximization algorithm turned out to give the best results, and improved alignment in the majority of signal clusters. (C) 2003 Elsevier Science B.V. All rights reserved.}},
author = {{Wahlberg, Patrik and Salomonsson, G}},
issn = {{0165-1684}},
keywords = {{multi-class signal sets; clustering; alignment; Rayleigh; epileptic EEG spikes; quotient; time jitter}},
language = {{eng}},
number = {{5}},
pages = {{983--1000}},
publisher = {{Elsevier}},
series = {{Signal Processing}},
title = {{Methods for alignment of multi-class signal sets}},
url = {{http://dx.doi.org/10.1016/S0165-1684(02)00501-7}},
doi = {{10.1016/S0165-1684(02)00501-7}},
volume = {{83}},
year = {{2003}},
}