The theory and design of arbitrary-length cosine-modulated filter banks and wavelets, satisfying perfect reconstruction

被引:75
作者
Nguyen, TQ [1 ]
Koilpillai, RD [1 ]
机构
[1] ERICSSON INC,ADV DEV & RES GRP,RES TRIANGLE PK,NC 27709
关键词
D O I
10.1109/78.489021
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
It is well known that FIR filter banks that satisfy the perfect-reconstruction (PR) property can be obtained by cosine modulation of a linear-phase prototype filter of length N = 2 nM, where M is the number of channels, In this paper, we present a PR cosine-modulated filter bank where the length of the prototype filter is arbitrary, The design is formulated as a quadratic-constrained least-squares optimization problem, where the optimized parameters are the prototype filter coefficients. Additional regularity conditions are imposed on the filter bank to obtain the cosine-modulated orthonormal bases off compactly supported wavelets. Design examples are given.
引用
收藏
页码:473 / 483
页数:11
相关论文
共 28 条
[1]  
[Anonymous], 1977, PROC ICASSP 77 IEEE, DOI DOI 10.1109/ICASSP.1977.1170341
[2]  
[Anonymous], 1993, Ten Lectures of Wavelets
[3]   SUBBAND CODER DESIGN INCORPORATING RECURSIVE QUADRATURE FILTERS AND OPTIMUM ADPCM CODERS [J].
BARNWELL, TP .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1982, 30 (05) :751-765
[4]  
COX RV, 1986, P IEEE INT C AC SPEE, P341
[5]  
Crochiere R. E., 1983, MULTIRATE SIGNAL PRO
[6]   ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
DAUBECHIES, I .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996
[7]  
Elliot DF, 1987, HDB DIGITAL SIGNAL P
[8]  
GOPINATH R, P ICASSP 93, P169
[9]   CYCLE-OCTAVE AND RELATED TRANSFORMS IN SEISMIC SIGNAL ANALYSIS [J].
GOUPILLAUD, P ;
GROSSMANN, A ;
MORLET, J .
GEOEXPLORATION, 1984, 23 (01) :85-102
[10]  
KIM CS, 1988, P IEEE INT C AC SPEE, P753