DESIGN OF VARIABLE FRACTIONAL-DELAY DIGITAL FILTERS USING WEIGHTED-LEAST-SQUARES SINGULAR-VALUE-DECOMPOSITION (TueAmPO1)

Author(s) : Tian-Bo Deng (Toho University, Japn)

Abstract : This paper proposes a weighted-least-squares singular-value-decomposition (WLS-SVD) method and shows that the problem of designing one-dimensional (1-D) variable fractional-delay (VFD) digital filter can be elegantly reduced to the easier sub-problems that involve 1-D constant filter designs and 1-D polynomial approximations. By utilizing the WLS-SVD of the variable design specification, we prove that both 1-D constant filters and 1-D polynomials possess either symmetry or anti-symmetry simultaneously. Therefore, a VFD filter can be efficiently obtained by designing 1-D constant filters with symmetrical or anti-symmetrical coefficients and performing 1-D symmetrical or anti-symmetrical polynomial approximations. Our computer simulations have shown that the WLS-SVD design can achieve much higher design accuracy with significantly reduced filter complexity than the existing WLS design method.

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