Extraction of Stationary Spectral Components Using Stochastic Variability

  • David Cárdenas-Peña
  • Juan David Martínez-Vargas
  • Germán Castellanos-Domínguez
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7441)


Biosignal recordings are widely used in the medical environment to support the evaluation and the diagnosis of pathologies. Nevertheless, the main difficulty lies in the non-stationary behavior of the biosignals, making difficult the obtention of patterns characterizing the changes in physiological or pathological states. Thus, the obtention of the stationary and non-stationary components of a biosignal poses still an open issue. This work proposes a methodology to detect time-homogeneities based on time-frequency analysis aiming to extract the non-stationary behavior of the biosignal. Two homogeneity constraints are introduced as the measure of stochastic variability of the considered dataset. The first one is the relevance value, which gives information about the contribution of the spectral component to the process. The second one is based on the first and second moments of stochastic variability map, being related to the uniformity along the time of each spectral component. Results show an increase in the stationarity of the reconstructions from the enhanced time-frequency representations. Moreover, the inter class distance for the reconstructed time-series show more discrimination on the stationary component than on the non-stationary one. Those extracted components tend to meet the requirement of most algorithms proposed for other tasks, such as biosignal classification problems, leading to a performance increase of the methodologies.


Time-evolving Latent Variable Decomposition Multivariate Locally Stationary Time Series Stationarity Enhancement 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • David Cárdenas-Peña
    • 1
  • Juan David Martínez-Vargas
    • 1
  • Germán Castellanos-Domínguez
    • 1
  1. 1.Signal Processing and Recognition GroupUniversidad Nacional de ColombiaManizalesColombia

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