Two-Dimensional Antisymmetric Linear Phase Filter Bank Construction Using Symmetric Completion

Author

Lei, Zhang ; Makur, Anamitra

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore

Volume

54

Issue

1

fYear

2007

Firstpage

57

Lastpage

60

Abstract

For a given antisymmetric linear phase (LP) filter in two dimensions, an approach that can parameterize the counterpart filter such that they can form a perfect reconstruction filter bank (FB) is proposed. This approach is motivated by a previous work and remedies the incomplete solution there. To illustrate its incompleteness, classification of LP perfect reconstruction FBs is introduced. Possibilities of extension of the proposed scheme are also discussed

Keywords

channel bank filters; filtering theory; linear phase filters; two-dimensional digital filters; 2D antisymmetric linear phase filter bank construction; Groebner basis; multidimensional filter banks; perfect reconstruction filter bank; symmetric completion; Deconvolution; Filter bank; Geometry; Image processing; Image reconstruction; Multidimensional signal processing; Multidimensional systems; Nonlinear filters; Polynomials; Signal processing algorithms; Groebner basis (GB); linear phase (LP); multidimensional (MD) filter banks (FBs); perfect reconstruction;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2006.883207

Filename

4063472