Title
Direct design of orthogonal filter banks and wavelets
Abstract
This paper presents a new method for the design of two-channel conjugate quadrature (CQ) filter banks in which halfband filter and spectrum factorization are not required. Instead, a CQ filter is directly optimized subject to the perfect reconstruction and possibly other constraints (such as number of vanishing moments (VM)). We develop a design strategy in that the solution is approached sequentially with each update confined to within a small vicinity of the current iterate where the problem at hand behaves like a convex one, thus the update can be obtained as a solution of a convex problem. Four design scenarios are considered, namely the least squares designs with or without VM requirement, and equiripple designs with or without VM requirement. The simulation studies demonstrate that the proposed method is reliable to design high-order CQ filters with improved performance.
Year
DOI
Venue
2009
10.1109/ISCAS.2009.5117690
2009 IEEE International Symposium on Circuits and Systems
Keywords
DocType
ISSN
orthogonal filter banks,two-channel conjugate quadrature filter banks,halfband filter,spectrum factorization,CQ filter,vanishing moments,least squares designs,VM requirement,high-order CQ filters
Conference
0271-4302
ISBN
Citations 
PageRank 
978-1-4244-3827-3
1
0.39
References 
Authors
4
2
Name
Order
Citations
PageRank
Wu-Sheng Lu132949.40
Takao Hinamoto215850.09