Presentation 2004/1/8
Vector-Array Decomposition-Based Design of Variable Digital Filters
Tian-Bo Deng,
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Abstract(in English) Arbitrary desired variable frequency response can be uniformly sampled to construct a multi-dimensional (M-D) complex array. In this paper, we propose a new method called vector-array decomposition (VAD) for decomposing M-D complex array into the products of complex vectors and real arrays. Based on the VAD, the difficult problem of designing variable digital filters can be reduced to some easier sub-problems that require one-dimensional (1-D) constant filter designs and M-D polynomial approximations. Since 1-D constant filters can be easily obtained by applying the well developed design techniques, and M-D polynomials can be obtained by utilizing least-squares curve-fitting, variable filters can be indirectly designed through solving the easier sub-problems. The VAD-based approach is straightforward and particularly efficient for designing variable filters with arbitrary variable magnitude responses and arbitrary phases.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Singular-value-decomposition (SVD) / vector-array-decomposition (VAD) / variable digital filter / constant digital filter / multi-dimensional polynomial
Paper # DSP2003-158,SAT2003-155,RCS2003-253
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Committee SAT
Conference Date 2004/1/8(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Vector-Array Decomposition-Based Design of Variable Digital Filters
Sub Title (in English)
Keyword(1) Singular-value-decomposition (SVD)
Keyword(2) vector-array-decomposition (VAD)
Keyword(3) variable digital filter
Keyword(4) constant digital filter
Keyword(5) multi-dimensional polynomial
1st Author's Name Tian-Bo Deng
1st Author's Affiliation Department of Information Science Faculty of Science, Toho University()
Date 2004/1/8
Paper # DSP2003-158,SAT2003-155,RCS2003-253
Volume (vol) vol.103
Number (no) 549
Page pp.pp.-
#Pages 6
Date of Issue