New Algorithm For Calculating Wavelet Transforms

In this article we introduce a new algorithm for computing Discrete Wavelet Transforms (DWT). The algorithm aims at reducing the number of multiplications, required to compute a DWT. The algorithm is general and can be used to compute a variety of wavelet transform (Daubechies and CDF). Here we focu...

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Bibliographic Details
Main Authors: Piotr Lipinski, Mykhaylo Yatsymirskyy
Format: Article
Language:English
Published: International Institute of Informatics and Cybernetics 2009-04-01
Series:Journal of Systemics, Cybernetics and Informatics
Subjects:
Online Access:http://www.iiisci.org/Journal/CV$/sci/pdfs/ZS372XE.pdf
Description
Summary:In this article we introduce a new algorithm for computing Discrete Wavelet Transforms (DWT). The algorithm aims at reducing the number of multiplications, required to compute a DWT. The algorithm is general and can be used to compute a variety of wavelet transform (Daubechies and CDF). Here we focus on CDF 9/7 filters, which are used in JPEG2000 compression standard. We show that the algorithm outperforms convolution-based and lifting-based algorithms in terms of number of multiplications.
ISSN:1690-4524