Open AccessDesign of Two-Channel Low-Delay FIR Filter Banks using Constrained Optimization
Author(s) -
Robert Bregovi�,
Tapio Saram�ki
Publication year - 2000
Publication title -
journal of computing and information technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 27
eISSN - 1846-3908
pISSN - 1330-1136
DOI - 10.2498/cit.2000.04.09
Subject(s) - quadrature mirror filter , biorthogonal system , stopband , computer science , finite impulse response , transition band , filter design , filter bank , butterworth filter , filter (signal processing) , low pass filter , control theory (sociology) , passband , minification , prototype filter , mathematical optimization , algorithm , channel (broadcasting) , mathematics , electronic engineering , telecommunications , band pass filter , artificial intelligence , engineering , control (management) , wavelet transform , wavelet , computer vision , programming language
This paper shows the efficiency of using constrained optimization for designing two-channel low-delay finite impulse response filter banks. The filter banks under consideration are quadrature mirror filter (QMF) banks and perfect reconstruction (PR) biorthogonal filter banks. The design problems for both types of banks are stated as constrained minimization problems in forms that enable us to minimize the maximum of the stopband energies of the analysis filter(s) subject to the given passband and transition band constraints of the filter(s) as well as subject to the given allowable reconstruction error for QMF banks or the PR property for biorthogonal filter banks. For solving the given optimization problems a modified Dutta-Vidyasagar optimization technique has been used. The efficiency of the proposed design methods is illustrated by means of some examples
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