Wavelets, filter banks and applications
Master
In Maynard (USA)
Description
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Type
Master
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Location
Maynard (USA)
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Start date
Different dates available
Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.
Facilities
Location
Start date
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Subjects
- Project
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
Strang, and Nguyen. Wavelets and Filter Banks. Wellesley-Cambridge Press, 1997.
The course will consist of lectures, homework assignments and a project on a topic related to the student's area of interest. We will aim for the right balance of theory and "applications". The course has no specific prerequisites, although a basic knowledge of Fourier transforms is recommended. We start with time-invariant filters and basic wavelets. The text gives an overall perspective of the field -- which has grown with amazing speed. The topics will include
These four key areas will be developed in detail.
We encourage you to learn about wavelets and their applications.
Multiresolution representation of a complex shape. Courtesy of Igor
Guskov, University of Michigan. Used with permission.
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Wavelets, filter banks and applications