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On Factorization of M-Channel Paraunitary Filterbanks (2001)  (Make Corrections)  (1 citation)
Xiqi Gao, Truon G. Nguyen, Gilbert Strang



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Abstract: We systematically investigate the factorization of causal finite impulse response (FIR) paraunitary filterbanks with given filter length. Based on the singular value decomposition of the coefficient matrices of the polyphase representation, a fundamental order-one factorization form is first proposed for general paraunitary systems. Then, we develop a new structure for the design and implementation of paraunitary system based on the decomposition of Hermitian unitary matrices. Within this... (Update)

Context of citations to this paper:   More

...developed. The structure is generalized to cover a large class of perfect reconstruction filterbanks in [8] Recently, it was shown in [9] and [10] that the structures in [7] and [8] can be simplified significantly and still cover the same solution sets. Since the DCT, LOT,...

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BibTeX entry:   (Update)

X. Gao, T. Q. Nguyen, and G. Strang, "On factorization of M-channel paraunitary filterbanks," IEEE Trans. Signal Processing, vol. 49, pp. 1433--1446, July 2001. http://citeseer.ist.psu.edu/article/gao01factorization.html   More

@misc{ gao01factorization,
  author = "X. Gao and T. Nguyen and G. Strang",
  title = "On factorization of M-channel paraunitary filterbanks",
  text = "X. Gao, T. Q. Nguyen, and G. Strang, On factorization of M-channel paraunitary
    filterbanks, IEEE Trans. Signal Processing, vol. 49, pp. 1433--1446, July
    2001.",
  year = "2001",
  url = "citeseer.ist.psu.edu/article/gao01factorization.html" }
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32   Theory and design of M-channel maximally decimated quadratur.. (context) - Vaidyanathan - 1987
28   Linear-phase paraunitary filterbanks: Theory, factorizations.. (context) - Soman, Vaidyanathan et al. - 1993
27   MA: Wellesley-Cambridge (context) - Strang, Nguyen et al. - 1997
27   The GenLOT: Generalized linear-phase lapped orthogonal trans.. (context) - de Queiroz, Nguyen et al. - 1996
25   Linear-phase perfect reconstruction filterbank: lattice stru.. - Tran, de Queiroz et al. - 2000
25   Linear phase cosine modulated maximally decimated filterbank.. (context) - Lin, Vaidyanathan - 1995
25   Linear phase perfect reconstruction filterbank: Theory, stru.. - Tran - 1998
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13   Linear phase paraunitary filterbank with filters of differen.. - Tran, Ikehara et al. - 1999
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13   Signal Processing (context) - design, multifilterbanks et al. - 1998
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8   Maximally decimated perfectreconstruction FIR filterbanks wi.. (context) - Nguyen, Vaidyanathan - 1988
8   Vector-valued wavelets and vector filterbanks - Xia, Suter - 1996
5   Orthogonal multiwavelets with optimum time-frequency resolut.. (context) - Jiang - 1998
4   On lapped transforms - de Queiroz - 1994
3   MA: Artech House (context) - with, Transforms - 1992
3   Efficient implementation of arbitrary -length cosine-modulat.. (context) - Gao, He et al. - 1999
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1   When does A 3 A = B 3 B and why does one want to know (context) - Horn, Olkin - 1996

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