Title :
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
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.883207
