Title :
Design of 2-D Perfect Reconstruction Diamond-Shaped and Fan-Shaped FIR Filter Banks
Author_Institution :
Sch. of Inf. Eng., Chang´´an Univ., Xi´´an, China
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;
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
DOI :
10.1109/CISP.2009.5301062
