Paper Info
Title
Oversampled linear-phase perfect reconstruction filterbanks: theory, lattice structure and parameterization
Abstract
The paper presents the theory, lattice structure, and parameterization for a general class of P-channel oversampled linear-phase perfect reconstruction filterbanks (OLPPRFBs) - systems with sampling factor M (P≥M) and filter length of L=KM (K≥1) each. For these OLPPRFBs, the necessary existence conditions on the number of symmetric filters, nβ, and antisymmetric filters, nα, (i.e., symmetry polarity) are first investigated. VLSI-friendly lattice structures are then developed for two types of OLPPRFBs, type I system (nβ=nα) and type II system (nβ≠nα). The completeness and minimality of each type of lattice are also analyzed. Compared with existing work, the proposed lattices are the most general and efficient ones for OLPPRFBs. Besides, through the lattice structures, the sufficiency of the existence conditions is also verified. Next, lifting-based structures are proposed to parameterize a left invertible matrix and all of its left inverses, which leads to unconstrained optimization as well as robust implementation of OLPPRFBs. Finally, several design examples are presented to confirm the validity of the theory and demonstrate the versatility of synthesis filterbanks in the oversampled system.
Year
DOI
Venue
2003
10.1109/TSP.2002.808078
IEEE Transactions on Signal Processing
Keywords
Field
DocType
filter length,oversampled system,optimisation,oversampled linear-phase perfect reconstruction,oversampled linear-phase perfect reconstruction filterbanks,left inverse,vlsi-friendly lattice structures,signal sampling,linear-phase filterbanks,symmetric filters,sampling factor,proposed lattice,left invertible matrix,existence condition,channel bank filters,matrix inversion,lattice structure,type ii system,lattice filters,synthesis filterbanks,general class,signal reconstruction,filtering theory,antisymmetric filters,lifting-based structures,oversampled filterbanks,linear phase filters,vlsi-friendly lattice structure,linear-phase perfect reconstruction filterbanks,parameterization,image reconstruction,speech processing,complete lattice,speech synthesis,lattices,indexing terms,linear phase
Linear phase,Discrete mathematics,Oversampling,Parametrization,Lattice (order),Control theory,Filter bank,Antisymmetric relation,Invertible matrix,Signal reconstruction,Mathematics
Journal
Volume
Issue
ISSN
51
3
1053-587X
Citations 
PageRank 
References 
33
1.43
20
Authors
2
Name
Order
Citations
PageRank
Lu Gan132425.46
Kai-Kuang Ma22309180.29