Open AccessDesign of hybrid filter banks using norm performance measures
Author(s) -
Wang Wei,
Zhang ZiJing
Publication year - 2013
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2012.0136
Subject(s) - finite impulse response , filter bank , digital filter , norm (philosophy) , mathematics , filter design , linear filter , computer science , infinite impulse response , mathematical optimization , algorithm , control theory (sociology) , filter (signal processing) , artificial intelligence , control (management) , political science , law , computer vision
This study presents H ∞ norm and mixed H 2 / H ∞ norm optimal designs of digital synthesis filters of a hybrid filter bank. The problem for designing finite‐impulse response (FIR) synthesis filters is cast as a H ∞ optimisation or mixed H 2 / H ∞ optimisation problem by constructing a hybrid‐induced error system. Both the problems can be solved using the theory of linear matrix inequalities such that FIR filters are directly obtained without truncation of infinite impulse responses. Two design examples are provided to illustrate the effectiveness of the proposed approaches.