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
[11]  
JOHNSTON JD, 1980, P IEEE INT C AC SPEE, P291
[12]   Tree coding of image subbands [J].
Nanda, Sanjiv ;
Pearlman, William A. .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1992, 1 (02) :133-147
[13]  
PEARLMAN WA, 1991, SUBBAND IMAGE CODING, pCH1
[14]   AN ANALYTICAL FORMULA FOR THE DESIGN OF QUADRATURE MIRROR FILTERS [J].
PIRANI, G ;
ZINGARELLI, V .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1984, 32 (03) :645-648
[15]   ON ENTROPY OF PYRAMID STRUCTURES [J].
RAO, RP ;
PEARLMAN, WA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1991, 37 (02) :407-413
[16]  
SIMONCELLI EP, 1991, SUBBAND IMAGE CODING