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13D031LIN - Linear and Nonlinear Signal Analysis

Course specification
Course title Linear and Nonlinear Signal Analysis
Acronym 13D031LIN
Study programme Electrical Engineering and Computing
Module
Type of study doctoral studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 9.0 Status elective
      Condition None
      The goal Introducing students to advanced linear and nonlinear methods for signal analysis.
      The outcome The outcomes are the skills for the use of different methods for analyzing and classification of complex signals and processes.
      Contents
      Contents of lectures Properties of complex spatio-temporal signals. Extraction of dominant signal components. Principal and independent component analysis (PCA, ICA). Detrended fluctuation analysis (DFA). Wavelet transform. Basic concepts of self-similarity. Description of complex structures and phenomena by fractal geometry and multifractals. Fractal and multifractal analyses and applications.
      Contents of exercises Implementation of linear and nonlinear methods for time series and database analysis.
      Literature
      1. O. I. Sheluhin, Sergey M. Smolskiy, Andrey V. Osin, Self-Similar Processes in Telecommunications, John Wiley & Sons, 2007.
      2. P. Abry, P. Gonçalves, and J. Lévy Véhel, Scaling, Fractals and Wavelets, Wiley, 2009.
      3. A. Aldroubi, C. Cabrelli, S. Jaffard, and U. Molter, New Trends in Applied Harmonic Analysis, Springer, 2016.
      4. J. Gao, Y. Cao, W. Tung, J. Hu, Multiscale Analysis of Complex Time Series: Integration of Chaos and Random Fractal Theory, and Beyond, Wiley, 2007.
      5. Journal papers
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      6
      Methods of teaching lectures and auditory exercises
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures 0 Test paper 70
      Practical lessons 0 Oral examination 0
      Projects 0
      Colloquia 0
      Seminars 30