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Title: Weighted-least-squares design of variable fractional-delay FIR filters using coefficient symmetry
Authors: Deng, T.-B.
Lian, Y. 
Keywords: Coefficient constraint
Coefficient symmetry
Taylor series expansion
Variable digital filter
Variable fractional-delay (VFD) filter
Weighted-least-squares (WLS) design
Issue Date: Aug-2006
Citation: Deng, T.-B., Lian, Y. (2006-08). Weighted-least-squares design of variable fractional-delay FIR filters using coefficient symmetry. IEEE Transactions on Signal Processing 54 (8) : 3023-3038. ScholarBank@NUS Repository.
Abstract: Our previous work has shown that the coefficient symmetry can be efficiently exploited in designing variable finite-impulse-response (FIR) filters with simultaneously tunable magnitude and fractional-delay responses. This paper presents the optimal solutions for the weighted-least-squares (WLS) design of variable fractional-delay (VFD) FIR filters with same-order and different-order subfilters through utilizing the coefficient symmetry along with an imposed coefficient constraint. In deriving the closed-form error functions, since the Taylor series expansions of sin (ωp) and cos (ωp) are used, the numerical integrals using conventional quadrature rules can be completely removed, which speeds up the WLS design and guarantees the optimality of the final solution. Two design examples are given to illustrate that the proposed WLS methods can achieve better design with significantly reduced VFD filter complexity and computational cost than the existing ones including the WLS-SVD approach. Consequently, the proposed WLS design is the best among all the existing WLS methods so far. © 2006 IEEE.
Source Title: IEEE Transactions on Signal Processing
ISSN: 1053587X
DOI: 10.1109/TSP.2006.875385
Appears in Collections:Staff Publications

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