The FIR 2-band wavelets have found wide applications in practice. One of their disadvantages, however, is that they cannot be made both symmetric and orthogonal. There have been some works on filters which are orthogonal and nearly symmetric. In this paper, Gröbner methods are used to design orthogonal filters with a subset of exactly symmetric coefficients of various lengths, as opposed to nea...

IMAGE COMPRESSION Jan E. Odegard C. Sidney Burrus Department of Electrical and Computer Engineering Rice University, Houston, Texas 77005-1892, USA [email protected], [email protected] http: www-dsp.rice.edu ABSTRACT In this paper we introduce a new family of smooth, symmetric biorthogonal wavelet basis. The new wavelets are a generalization of the Cohen, Daubechies and Feauveau (CDF) biorthogonal wa...

In recent years wavelets have received much attention because of its comprehensive mathematical power and good application potential in many interesting branches of science and technology. The advantage of wavelet techniques over finite difference or element method is well known. This paper offers wavelet based Galerkin methods for solving partial differential equations and provides some exampl...

Discrete wavelet transforms over finite sets which are translation invariant L. Kamstra Probability, Networks and Algorithms (PNA)