Design of 2-D Perfect Reconstruction Diamond-Shaped and Fan-Shaped FIR Filter Banks

Author

Song, Beibei

Author_Institution

Sch. of Inf. Eng., Chang´´an Univ., Xi´´an, China

fYear

2009

fDate

17-19 Oct. 2009

Firstpage

1

Lastpage

4

Abstract

The paper gives a design method of two-channel FIR diamond-shaped and fan-shaped filter banks, which are the important part of directional filter banks. Firstly, we make an analysis of 2D two-channel filter banks where the perfect reconstruction condition is derived. On this basis, the 2D maximally flat filter is adopted to be the mapping filter and the 1D two-channel filter bank is constructed to satisfying the perfect reconstruction condition. Afterwards the 1D two-channel filter bank is mapped into the 2D diamond-shaped filter bank using the method of variable substitution. Finally the 2D fan-shaped filter bank is obtained by modulating the diamond-shaped filter bank.

Keywords

FIR filters; channel bank filters; 2D maximally flat filter; 2D perfect reconstruction condition; FIR filter banks; directional filter banks; mapping filter; Binary trees; Channel bank filters; Design engineering; Design methodology; Filter bank; Finite impulse response filter; Image reconstruction; Image sampling; Laplace equations; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Image and Signal Processing, 2009. CISP '09. 2nd International Congress on

Conference_Location

Tianjin

Print_ISBN

978-1-4244-4129-7

Electronic_ISBN

978-1-4244-4131-0

Type

conf

DOI

10.1109/CISP.2009.5301062

Filename

5301062