Two-Channel Linear-Phase Even-Order IIR Filter Bank with Quasi-Power Complementary Characteristics for Image Subband Coding

Abstract

This paper presents a method for designing a 6th-order two-channel linear-phase IIR filter bank with quasi-power complementary characteristics for image subband coding. The lowpass filter is specified to have a double or quadruple zero at ω = π and is designed with weighted equiripple approximation based on the formulation of an eigen-value problem. A design example of an image subband coding system using a three-stage octave division filter bank with rounded integer analysis output signals has shown to have a pseudo perfect reconstruction image “Lena” with a PSNR as highas 55.8 dB. The coding performance (PSNR versus bit rate) using bit plane arithmetic coding was nearly equal to that of 5th-order IIR filter banks and superior to 9 / 7 FIR filter banks.