Home | Quick Search | Advanced Search | Bibliography submission | Bibliography submission using bibtex | Bibliography submission using bibtex file | Links | Help | Internal

Details:

   
TitleGröbner bases and wavelet design
Author(s) Jerome Lebrun, Ivan W. Selesnick
TypeArticle in Journal
AbstractIn this paper, we detail the use of symbolic methods in order to solve some advanced design problems arising in signal processing. Our interest lies especially in the construction of wavelet filters for which the usual spectral factorization approach (used for example to construct the well-known Daubechies filters) is not applicable. In these problems, we show how the design equations can be written as multivariate polynomial systems of equations and accordingly how Gröbner algorithms offer an effective way to obtain solutions in some of these cases.
KeywordsDiscrete wavelet transform, conjugate quadrature filters
Length33
File
LanguageEnglish
JournalJournal of Symbolic Computation
Volume37
Pages227 - 259
PublisherElsevier
Year2004
Translation No
Refereed No
Webmaster