A GENERALIZED PARAMETRIC PR-QMF DESIGN TECHNIQUE BASED ON BERNSTEIN POLYNOMIAL-APPROXIMATION

被引:59
作者
CAGLAR, H [1 ]
AKANSU, AN [1 ]
机构
[1] NEW JERSEY INST TECHNOL,CTR COMMUN & SIGNAL PROC RES,DEPT ELECT & COMP ENGN,NEWARK,NJ 07102
关键词
D O I
10.1109/78.224242
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation in the magnitude square domain is developed in this paper. The parametric nature of this solution provides useful insights to the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMF's, are shown to be the special cases of the proposed technique. Energy compaction performance of a few popular signal decomposition techniques are presented for AR(1) signal sources. It is observed that the hierarchical QMF filter banks considered here outperform the block transforms as expected.
引用
收藏
页码:2314 / 2321
页数:8
相关论文
共 23 条
[1]  
Akansu A. N., 1992, MULTIRESOLUTION SIGN
[2]   THE BINOMIAL QMF-WAVELET TRANSFORM FOR MULTIRESOLUTION SIGNAL DECOMPOSITION [J].
AKANSU, AN ;
HADDAD, RA ;
CAGLAR, H .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (01) :13-19
[3]  
ANTONINI M, 1990, P IEEE INT C AC SPEE, P2297
[4]  
CASSEREAU P, 1985, THESIS MIT CAMBRIDGE
[5]   DIGITAL CODING OF SPEECH IN SUB-BANDS [J].
CROCHIERE, RE ;
WEBBER, SA ;
FLANAGAN, JL .
BELL SYSTEM TECHNICAL JOURNAL, 1976, 55 (08) :1069-1085
[6]  
CROISIER A, 1976, INT C INFORM SCI SYS
[7]   ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
DAUBECHIES, I .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996
[8]  
DAUBECHIES I., ORTHONORMAL BASES CO
[9]  
Davis P. J., 1963, INTERPOLATION APPROX
[10]  
ESTEBAN D, 1977, MAY P IEEE INT C AC, P191