Details:
Title | Wavelet Design Using Grobner Basis Methods | Author(s) | A.F. Abdelnour | Type | PhD Theses | Abstract | The thesis discusses the design of various types of wavelets with different properties using Groebner basis. This results in new filterbanks. For example, it was possible to obtain 2-channel orthogonal filterbanks approximating symmetry with the error made as small as one wishes. Conversely, it was possible to find 2-band symmetric filterbanks approximating orthogonality. In addition, 4-channel tight frame filterbanks are found. The resulting filterbanks are symmetric, nearly shift invariant, and approximate orthogonality. It was also possible to find 4-channel filterbanks approximating Hilbert properties and with a symmetric envelope.
Advisor: Ivan Selesnick, Polytechnic University
The thesis can be retrieved @ http://taco.poly.edu/farras | Keywords | wavelets, frames, groebner method |
URL |
http://taco.poly.edu/farras |
Language | English | Year | 2002 | Month | September | Note | http://taco.poly.edu/farras | Edition | 0 | Translation |
No | Refereed |
No |
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