Fernando/SignalAnalysisPhDCourse
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| Multiscale and Multidimensional Analysis | |
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| Contact: Fernando Alonso-Fernandez |
Contents
Multiscale and Multidimensional Analysis course (Autumn 2016)
This is the web page for the PhD course Multiscale and Multidimensional Analysis.
Course information
Instructor: Fernando Alonso-Fernandez
Class time: The schedule for the course will be made ad hoc, using doodle or by agreement over email.
Class location: F5.
Office hours: by appoinment.
Contact: feralo(AHTT)hh.se.
Course description
The course is focused on the topic of multi-scale and multi-dimensional signal analysis. More particularly, it will provide with advanced concepts and techniques to extract useful information from signals of arbitrary dimension (such as audio (1D) and image (2D) signals), drawing on topics from the signal/image processing and computer vision fields.
Communication: by email or in person. Communication WILL NOT be done through blackboard.
Office hours: There are no regularly scheduled office hours, but you can always arrange a meeting with the instructors. Just send an email or drop by.
Grading: by assignment
Prerequisites: linear algebra (vector and matrix operations), probability theory/statistics, signal processing, image processing and multi-variate calculus. The course assumes a programing background (primarily in Matlab).
Course content
Signal Analysis in 1D
Discrete-time signals
- Types and properties of signals
- Sampling of signals
Discrete-time systems
- Time-domain analysis: LTI systems, properties, convolution
- Frequency-domain analysis: DFT, other orthogonal basis/wavelets, filters
Signal Analysis in 2D
Directionality analysis
- Structure tensor, HOGs, Gabor
- Edges, corners
Feature analysis
- Segmentation, clustering
- Feature extraction, pattern matching and classification
Bibliography and Resources
There is plenty of books to choose from. I recommend you to refer to lectures, slides and other material that will be made available before lectures, and use the books for optional reference lectures.
Signal Analysis in 1D
A selection of basic readings can be found at: http://dspguru.com/dsp/books/favorites
I cannot recommend a particular one, it depends on the starting level you have of Signal Processing, and of how far you want/need to reach in your research.
A basic resource of the fundamentals is the book by Oppenheim & others (mentioned in the "Classic" section at the bottom). A distance-education course by the author is also available at MIT Open Courseware: https://ocw.mit.edu/resources/res-6-007-signals-and-systems-spring-2011
Another good reason to choose a book (this is purely personal) is because it is available online, as the book by Steven W. Smith
There are also some of courses that I have used to develop this course (you will recognize some of the slides if you go through them). They are also a good option for further resources or software code and exercises:
- ELEC 301 - Signals, Systems, and Learning at Rice University: http://dsp.rice.edu/courses/elec301
- EE-2027 Signals and Systems at Manchester University: http://personalpages.manchester.ac.uk/staff/martin.brown/signals/default.htm
Signal Analysis in 1D
