Information-theoretic performance of quadrature mirror filters

被引:4
作者
Divakaran, A [1 ]
Pearlman, WA [1 ]
机构
[1] RENSSELAER POLYTECH INST,DEPT ELECT COMP & SYST ENGN,TROY,NY 12180
基金
美国国家科学基金会;
关键词
quadrature mirror filters; subband coding; source coding; rate-distortion theory;
D O I
10.1109/18.476343
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Most existing Quadrature Mirror Filters (QMF's) closely match the derived closed-form expression for an efficient class of QMF's. We use the closed-form expressions to derive the relationship between information-theoretic loss and the Frequency selectivity of the QMF, by calculating first-order entropy as well as rate-distortion theoretic performance of a two band QMF system, me find that practical QMF's do not suffer a significant information-theoretic loss with first-order autoregressive Gaussian sources. With second-order autoregressive sources pie find that practical QMF's suffer a notable information-theoretic loss when the bandwidth of the source is extremely narrow, but incur a small loss when the bandwidth is wider. We suggest that our results broadly apply to higher order autoregressive sources as well.
引用
收藏
页码:2094 / 2100
页数:7
相关论文
共 16 条
[1]   Image coding using wavelet transform [J].
Antonini, Marc ;
Barlaud, Michel ;
Mathieu, Pierre ;
Daubechies, Ingrid .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1992, 1 (02) :205-220
[2]  
DIVAKARAN A, 1996, IN PRESS IEEE T CIRC
[3]  
DIVAKARAN A, 1993, THESIS ELEC COMPUT S
[4]  
DIVAKARAN A, 1993, 1993 P C INF SCI SYS, P785
[5]  
DIVAKARAN A, 1992, 1992 P C INF SCI SYS, P324
[6]  
Esteban D., 1977, PROC ICASSP 77 IEEE, P191, DOI [10.1109/ICASSP.1977.1170341, DOI 10.1109/ICASSP.1977.1170341]
[7]   ON THE RATE-DISTORTION EFFICIENCY OF SUBBAND CODING [J].
FISCHER, TR .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) :426-428
[8]  
FLANAGAN JL, 1979, IEEE T COMMUN, P710
[9]   QUADRATURE MIRROR FILTER DESIGN IN THE TIME DOMAIN [J].
JAIN, VK ;
CROCHIERE, RE .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1984, 32 (02) :353-361
[10]  
Jayant N.C., 1984, DIGITAL CODING WAVEF