Title :
A Study on Conjugate Quadratrue Filters
Author :
Leng, Jin-Song ; Huang, Ting-Zhu ; Lin, Xiao-Yan ; Lu, Ying-Jin
Author_Institution :
Sch. of Appl. Math., Univ. of Electron. of Sci. & Technol. of China, Chengdu, China
Abstract :
It is very important for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter (CQF). In this paper, a general method of deriving a length-J + 1 conjugate quadrature filter with multiplicity r and scale a from a length-J conjugate quadrature filter is obtained. As a special case, we study generally the construction of a length-J + 1 conjugate quadrature filter which generates a compactly supported symmetric-antisymmetric orthonormal multiwavelet system with multiplicity 2 and scale 2 from a length-J conjugate quadrature filter. The related numerical example is given.
Keywords :
quadrature mirror filters; wavelet transforms; conjugate quadrature filter; multiplicity; symmetric-antisymmetric orthonormal multiwavelet system; Equations; Filters; Harmonic analysis; Image analysis; Mathematics; Multiresolution analysis; Power generation economics; Signal processing; Technology management; Wavelet analysis;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5364321
