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Multi-wavelets from spline super-functions with approximation order

Version 2 2024-06-03, 07:46
Version 1 2015-07-17, 12:18
conference contribution
posted on 2024-06-03, 07:46 authored by HY Ozkaramanli, Asim BhattiAsim Bhatti, B Bilgehan
Approximation 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.

History

Volume

2

Pagination

525-528

Location

Sydney, NSW

Start date

2001-05-06

End date

2001-05-09

ISBN-10

0780366859

Publication classification

E1.1 Full written paper - refereed

Title of proceedings

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Publisher

IEEE

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