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Discriminant analysis of multivariate time series: Application to diagnosis based on ECG signals

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  • Maharaj, Elizabeth Ann
  • Alonso, Andrés M.

Abstract

In analysing ECG data, the main aim is to differentiate between the signal patterns of healthy subjects and those of individuals with specific heart conditions. We propose an approach for classifying multivariate ECG signals based on discriminant and wavelet analyses. For this purpose we use multiple-scale wavelet variances and wavelet correlations to distinguish between the patterns of multivariate ECG signals based on the variability of the individual components of each ECG signal and on the relationships between every pair of these components. Using the results of other ECG classification studies in the literature as references, we demonstrate that our approach applied to 12-lead ECG signals from a particular database compares favourably. We also demonstrate with real and synthetic ECG data that our approach to classifying multivariate time series out-performs other well-known approaches for classifying multivariate time series.

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  • Maharaj, Elizabeth Ann & Alonso, Andrés M., 2014. "Discriminant analysis of multivariate time series: Application to diagnosis based on ECG signals," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 67-87.
    • Handle: RePEc:eee:csdana:v:70:y:2014:i:c:p:67-87
    DOI: 10.1016/j.csda.2013.09.006
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    References listed on IDEAS

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    1. Maharaj, Elizabeth A. & Alonso, Andres M., 2007. "Discrimination of locally stationary time series using wavelets," Computational Statistics & Data Analysis, Elsevier, vol. 52(2), pages 879-895, October.
    2. Efron, Bradley, 2009. "Empirical Bayes Estimates for Large-Scale Prediction Problems," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 1015-1028.
    3. Maharaj, Elizabeth Ann & Alonso Fernández, Andrés Modesto, 2012. "Discriminant analysis of multivariate time series using wavelets," DES - Working Papers. Statistics and Econometrics. WS ws120603, Universidad Carlos III de Madrid. Departamento de Estadística.
    4. Shumway, Robert H., 2003. "Time-frequency clustering and discriminant analysis," Statistics & Probability Letters, Elsevier, vol. 63(3), pages 307-314, July.
    5. Hsiao-Yun Huang & Hernando Ombao & David S. Stoffer, 2004. "Discrimination and Classification of Nonstationary Time Series Using the SLEX Model," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 763-774, January.
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    Cited by:

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    4. Zhao, Xin & Barber, Stuart & Taylor, Charles C. & Milan, Zoka, 2018. "Classification tree methods for panel data using wavelet-transformed time series," Computational Statistics & Data Analysis, Elsevier, vol. 127(C), pages 204-216.
    5. Carolina Euán & Hernando Ombao & Joaquín Ortega, 2018. "The Hierarchical Spectral Merger Algorithm: A New Time Series Clustering Procedure," Journal of Classification, Springer;The Classification Society, vol. 35(1), pages 71-99, April.
    6. La Vecchia, Davide & Camponovo, Lorenzo & Ferrari, Davide, 2015. "Robust heart rate variability analysis by generalized entropy minimization," Computational Statistics & Data Analysis, Elsevier, vol. 82(C), pages 137-151.
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    8. Aykroyd, Robert G. & Barber, Stuart & Miller, Luke R., 2016. "Classification of multiple time signals using localized frequency characteristics applied to industrial process monitoring," Computational Statistics & Data Analysis, Elsevier, vol. 94(C), pages 351-362.

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