ISSN : 1796-203X
Volume : 4    Issue : 1    Date : January 2009

The Analysis and Design of Nearly-Orthogonal Symmetric Wavelet Filter Banks
Yun Wu, Yong Zhao, and Ling Shen
Page(s): 35-44
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The design and analysis of nearly-orthogonal symmetric wavelet filter banks has been studied.
Methods for analyzing the correlation of the nearly-orthogonal filter banks are proposed. The basic
idea is to impose multiple zeros at the aliasing frequency to a symmetric filter, minimize the
deviation of the filter satisfying the orthogonal condition, and a nearly orthogonal filter bank can be
obtained. Since multiple zeros are imposed, a scaling function may be generated from the
minimized filter. The integer translates of the wavelet and the scaling functions are nearly
orthogonal. The integer translates of the wavelet at different scale are completely orthogonal. We
will construct a perfect reconstructed semi-orthogonal filter bank. Detailed analysis of correlation of
the nearlyorthogonal filter banks are given in this paper.

Index Terms
wavelet, filter banks, nearly-orthogonal, symmetric