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Application of higher order statistics/spectra in biomedical signals : a review

Chua, Kuang Chua, Chandran, Vinod, Acharya, Rajendra, & Lim, Choo Min (2010) Application of higher order statistics/spectra in biomedical signals : a review. Medical Engineering and Physics, 32(7), pp. 679-689.

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Abstract

For many decades correlation and power spectrum have been primary tools for digital signal processing applications in the biomedical area. The information contained in the power spectrum is essentially that of the autocorrelation sequence; which is sufficient for complete statistical descriptions of Gaussian signals of known means. However, there are practical situations where one needs to look beyond autocorrelation of a signal to extract information regarding deviation from Gaussianity and the presence of phase relations. Higher order spectra, also known as polyspectra, are spectral representations of higher order statistics, i.e. moments and cumulants of third order and beyond. HOS (higher order statistics or higher order spectra) can detect deviations from linearity, stationarity or Gaussianity in the signal. Most of the biomedical signals are non-linear, non-stationary and non-Gaussian in nature and therefore it can be more advantageous to analyze them with HOS compared to the use of second order correlations and power spectra. In this paper we have discussed the application of HOS for different bio-signals. HOS methods of analysis are explained using a typical heart rate variability (HRV) signal and applications to other signals are reviewed.

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ID Code: 40761
Item Type: Journal Article
Keywords: Higher Order Spectra, Spectrum, Electrocardiogram, Heart Rate Variability, Electroencephalogram, Epilepsy, Entropy, Linearity, Stationary, Gaussianity, Bispectrum, Bicoherence
DOI: 10.1016/j.medengphy.2010.04.009
ISSN: 1350-4533
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > BIOMEDICAL ENGINEERING (090300) > Biomedical Engineering not elsewhere classified (090399)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Signal Processing (090609)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2010 IPEM/Elsevier
Copyright Statement: All rights reserved.
Deposited On: 18 Mar 2011 08:19
Last Modified: 01 Mar 2012 00:31

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