Evaluation of interaction dynamics of concurrent processes

Piotr Sobecki 1 , 2 , Jan T. Białasiewicz 3 , 4 ,  and Nicholas Gross 4
  • 1 Faculty of Mathematics and Information Science, Warsaw University of Technology Koszykowa 75, 00-662, Warsaw, Poland
  • 2 National Information Processing Institute, Warsaw, Poland aleja Niepodleg lości 188 b, 00-001, Warsaw, Poland
  • 3 Polish-Japanese Academy for Computer Technology, Warsaw, Poland
  • 4 University of Colorado Denver, Denver, United States of America


The purpose of this paper is to present the wavelet tools that enable the detection of temporal interactions of concurrent processes. In particular, the determination of interaction coherence of time-varying signals is achieved using a complex continuous wavelet transform. This paper has used electrocardiogram (ECG) and seismocardiogram (SCG) data set to show multiple continuous wavelet analysis techniques based on Morlet wavelet transform. MATLAB Graphical User Interface (GUI), developed in the reported research to assist in quick and simple data analysis, is presented. These software tools can discover the interaction dynamics of time-varying signals, hence they can reveal their correlation in phase and amplitude, as well as their non-linear interconnections. The user-friendly MATLAB GUI enables effective use of the developed software what enables to load two processes under investigation, make choice of the required processing parameters, and then perform the analysis. The software developed is a useful tool for researchers who have a need for investigation of interaction dynamics of concurrent processes.

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