Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/14931
Title: Maximally decimated paraunitary linear phase FIR filter bank design via iterative SVD approach
Authors: Ling, BWK
Tian, N
Ho, CYF
Siu, WC 
Teo, KL
Dai, Q
Keywords: Analytical solution
M-channel maximally decimated paraunitary linear phase FIR least squares filter bank design
Orthogonal Procrustes optimization
Issue Date: 2015
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on signal processing, 2015, v. 63, no. 2, 6960899, p. 466-481 How to cite?
Journal: IEEE transactions on signal processing 
Abstract: A necessary and sufficient condition for M-channel maximally decimated paraunitary FIR filter banks is derived when the lengths of all the filters are the same and they are integer multiples of M. Based on the derived condition, a family of this kind of filter banks is defined. These results are also applied to the corresponding linear phase filter banks. Then, the design of this type of filter banks with the linear phase property is formulated as two orthogonal Procrustes optimization problems. The analytical solution of each optimization problem is derived based on a singular value decomposition approach. Since no numerical optimization computer aided design tool is required for finding the analytical solution of each optimization problem, the computational power required for our proposed method is much lower than that for existing methods. Computer numerical simulation results show that our proposed method can obtain a design instantaneously.
URI: http://hdl.handle.net/10397/14931
ISSN: 1053-587X
EISSN: 1941-0476
DOI: 10.1109/TSP.2014.2371779
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