Title :
The analysis and design of two-dimensional nearly-orthogonal symmetric wavelet filter
Author :
Ji, Zhaojun ; Wang, Huaimin ; Guo, Junmei
Author_Institution :
Inf. Eng. Dept., Shandong Water Polytech., Rizhao, China
Abstract :
The analysis and design of two-dimensional nearly-orthogonal symmetric wavelet filter 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, then a nearly orthogonal filter bank can be obtained. The way in this paper is to find a FIR complementary filter of the minimized filter and thus construct a perfect reconstructed biorthogonal filter bank. Then a corresponding wavelet filter bank can be generated and correlation analysis can also be conducted.
Keywords :
FIR filters; correlation methods; filtering theory; wavelet transforms; FIR complementary filter; aliasing frequency; biorthogonal filter bank; correlation analysis; multiple zeros; nearly-orthogonal filter banks; symmetric filter; two-dimensional nearly-orthogonal symmetric wavelet filter; wavelet filter bank; Channel bank filters; Continuous wavelet transforms; Digital filters; Filter bank; Finite impulse response filter; Frequency; Information analysis; Information filtering; Nonlinear filters; Wavelet analysis; filter banks; nearly-orthogonal; symmetric; two-dimensional; wavelet;
Conference_Titel :
Networking and Digital Society (ICNDS), 2010 2nd International Conference on
Conference_Location :
Wenzhou
Print_ISBN :
978-1-4244-5162-3
DOI :
10.1109/ICNDS.2010.5479410
