19D041MOS - Multiresolution Signal Processing

Course specification
Course title Multiresolution Signal Processing
Acronym 19D041MOS
Study programme Electrical Engineering and Computing
Module Electronics and Digital Systems
Type of study doctoral studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 9.0 Status elective
      Condition Passed exam in subject Digital Signal Processing at undergraduate academic studies
      The goal The objective of this course is to introduce the fundamental mathematical and signal processing tools required for the analysis and design of multiresolution signal processing systems.
      The outcome Expertise in multirate processing, filter banks, wavelets and time-frequecy analysis. Ability to analyze and design multiresolution signal processing systems. Capacity to present the research results in the form of scientific paper acceptable for publication in a leading domestic scientific journal or peer-reviewed international conference.
      Contents of lectures Down/upsampling,general sampling rate conversion,polyphase representation; Series expansion of discrete-time signals,2-channel filter banks, tree-structured filter banks,multichannel filter banks,pyramids and overcomplete expansions; Series expansion of continuous-time signals,multiresolution,construction of wavelets,wavelet series,generalizations,local cosine bases; Algorithms, complexity
      Contents of exercises Practical implementation of multiresolution analysis of audio, image and other types of signals - software and hardware implementations. Study research work - research on current topics in multiresolution signal analysis
      1. Stéphane Mallat, A Wavelet Tour of Signal Processing, The Sparse Way, Academic Press, 3rd edition, 2009 (Original title)
      2. Martin Vetterli, Jelena Kovačević, Wavelets and Subband Coding, author issue, 2nd edition, 2007 (Original title)
      3. Ali N. Akansu, Richard A. Haddad, Multiresolution Signal Decomposition, Academic Press, 2nd edition, 2001 (Original title)
      4. C. Sidney Burrus, Ramesh A. Gopinath, Haitao Guo, Introduction to Wavelets and Wavelet Transforms: A Primer, Pearson, 1997 (Original title)
      5. Gilbert Strang, Truong Nguyen, Wavelets and Filter Banks, Wellesley - Cambridge Press, 2nd edition, 1996 (Original title)
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      Methods of teaching Lectures, consultations. Student projects.
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures Test paper
      Practical lessons Oral examination 30
      Seminars 70