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TitleBalanced GHM-like multiscaling functions
Author(s) Ivan W. Selesnick
TypeArticle in Journal
AbstractThe Geronimo-Hardin-Massopust (GHM) multiwavelet basis exhibits symmetry, orthogonality, short support, and approximation order K identical with 2, which is not possible for wavelet bases based on a single scaling-wavelet function pair. However, the filterbank associated with this basis does not inherit the zero moment properties of the basis. This work describes a version of the GHM multiscaling functions (constructed with Grobner bases) for which the zero moment properties do carry over to the associated filterbank. That is, the basis is balanced up to its approximation order K identical with 2.
KeywordsFIR filters, Wavelet transforms
URL dx.doi.org/10.1109/97.755430
LanguageEnglish
JournalIEEE Signal Processing Letters
Volume6
Number5
Pages111-112
Year1999
Translation No
Refereed No
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