Eigenfilter Approach to the Design of One-Dimensional and Multidimensional Two-Channel Linear-Phase FIR Perfect Reconstruction Filter Banks

We present an eigenfilter-based approach for the design of two-channel linear-phase FIR perfect-reconstruction (PR) filter banks. This approach can be used to design 1-D two-channel filter banks, as well as multidimensional nonseparable two-channel filter banks. Our method consists of first designin...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2008-12, Vol.55 (11), p.3542-3551
Main Authors: Patil, B.D., Patwardhan, P.G., Gadre, V.M.
Format: Article
Language:English
Subjects:
Circuits
Constraints
Design engineering
Design methodology
Digital filters
Eigen-filter design
Filter bank
Filter banks
Finite impulse response filter
Lattices
least-square filter design
Low pass filters
Multidimensional systems
Nonlinear filters
Passband
Reconstruction
Time domain analysis
two-channel filter bank
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Summary:We present an eigenfilter-based approach for the design of two-channel linear-phase FIR perfect-reconstruction (PR) filter banks. This approach can be used to design 1-D two-channel filter banks, as well as multidimensional nonseparable two-channel filter banks. Our method consists of first designing the low-pass analysis filter. Given the low-pass analysis filter, the PR conditions can be expressed as a set of linear constraints on the complementary-synthesis low-pass filter. We design the complementary-synthesis filter by using the eigenfilter design method with linear constraints. We show that, by an appropriate choice of the length of the filters, we can ensure the existence of a solution to the constrained eigenfilter design problem for the complementary-synthesis filter. Thus, our approach gives an eigenfilter-based method of designing the complementary filter, given a ldquopredesignedrdquo analysis filter, with the filter lengths satisfying certain conditions. We present several design examples to demonstrate the effectiveness of the method.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2008.925818