NDLI: Multi-Plet Two-Channel Perfect Reconstruction FIR and Causal Stable IIR Filter Banks

Content Provider	IEEE Xplore Digital Library
Author	Tsui, K.M. Chan, S.C.
Copyright Year	2004
Abstract	This paper proposes a new class of two-channel structural perfect reconstruction (PR) finite-impulse response / infinite-impulse response (FIR/IIR) filter banks (FBs) called the multi-plet FBs. It generalizes the structural PR FBs proposed by Phoong and the conventional triplet FB in that it employs multiple lifting steps similar to the conventional lifting structure. Apart from the important structural PR property, the multi-plet FB can be systematically designed to meet a given specification on the passband/stopband ripples and transition bandwidth: a low-order prototype PR FB with a much wider transition band is first designed using nonlinear optimization in order to obtain a symmetric frequency response and prescribed passband and stopband ripples. As only a few variables are required, its performances can easily be controlled. A subfilter is then designed using second-order cone programming (SOCP) so that the prototype FB can be warped by means of frequency transformation to meet the desired transition bandwidth, while preserving the PR condition, passband/stopband ripples and lifting structure of the prototype FB. The design procedure is very general and it applies to both linear-phase/low-delay FIR and IIR multi-plet FBs. By formulating the K-regularity conditions as a set of linear equality constraints on the subfilter coefficients, multi-plet-based wavelet bases can easily be designed under the SOCP framework. Design examples show that the proposed approach offers more flexibility in controlling the frequency characteristics of the PR FBs and lower design complexity than conventional methods
Sponsorship	IEEE Circuits and Systems Society
Starting Page	2804
Ending Page	2817
Page Count	14
File Size	870704
File Format	PDF
ISSN	15498328
Volume Number	53
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite impulse response filter IIR filters Filter bank Passband Prototypes Bandwidth Frequency response Design optimization Linear programming Signal analysis wavelet bases Causal stable infinite-impulse response (IIR) finite-impulse response (FIR) $K$-regularity lifting structure low-delay multi-plet perfect reconstruction (PR) filter banks (FBs) second-order cone programming (SOCP) structural PR
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Hardware and Architecture

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