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A unified approach for constructing multi-wavelets

conference contribution
posted on 2002-01-01, 00:00 authored by H Özkaramanli, Asim BhattiAsim Bhatti
A unified approach for constructing a large class of multi-wavelets is presented. This class includes Geranimo Hardin Massopust, Alpert and Daubechies-like multi-wavelets. The main emphasis is on approximation order of the resulting multi-scaling functions. The unified approach involves formulating the approximation order condition in the framework of super functions and recognizing that the generalized left eigenvectors of the resulting finite down-sampled convolution matrix gives the coefficients that enter the finite linear combination of scaling functions which produces the desired super function from which polynomials of desired degree can be locally approximated.

History

Volume

2

Pagination

1245 - 1248

Publisher

IEEE

Location

Orlando, Fl.

Place of publication

Piscataway, N.J.

Start date

2002-05-13

End date

2002-05-17

ISSN

1520-6149

Publication classification

EN.1 Other conference paper

Title of proceedings

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

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