Multi-wavelets from spline super-functions with approximation order
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conference contribution
posted on 2024-06-03, 07:46 authored by HY Ozkaramanli, Asim BhattiAsim Bhatti, B BilgehanApproximation order is an important feature for all wavelets. It implies that polynomials up to degree p-1 are in the space spanned by the scaling function(s). For multi-wavelets the condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors of the matrix H/sub f/, a finite portion of H, determine the combinations of scaling functions that produce the desired spline or scaling function. In this work, the condition of approximation order is derived for the special case where the multi scaling functions combine to form a super function that can produce any desired polynomial. New multi-wavelets with approximation orders one and two are constructed. © 2001 IEEE.
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Volume
2Pagination
525-528Location
Sydney, NSWStart date
2001-05-06End date
2001-05-09ISBN-10
0780366859Publication classification
E1.1 Full written paper - refereedTitle of proceedings
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium onPublisher
IEEEUsage metrics
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