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    Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach

    Access Status
    Fulltext not available
    Authors
    Ling, B.
    Tian, N.
    Ho, C.
    Siu, W.
    Teo, Kok Lay
    Dai, Q.
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Ling, B. and Tian, N. and Ho, C. and Siu, W. and Teo, K.L. and Dai, Q. 2015. Maximally Decimated Paraunitary Linear Phase FIR Filter Bank Design via Iterative SVD Approach, IEEE Transactions on Signal Processing. 63 (2): pp. 466-481.
    Source Title
    IEEE Transactions on Signal Processing
    DOI
    10.1109/TSP.2014.2371779
    ISSN
    1053-587X
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/31819
    Collection
    • Curtin Research Publications
    Abstract

    A necessary and sufficient condition for M-channel maximally decimated paraunitary FIRfilter 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.

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