Variable fractional-delay filter design using weighted-least-squares singular-value decomposition
Variable fractional-delay filter design using weighted-least-squares singular-value decomposition
复制标题
使用加权最小二乘奇异值分解的可变分数延迟滤波器设计
DOI：
10.1109/tencon.2004.1414352
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
T. Deng
中科院分区：
文献类型：
--
作者：
T. Deng
本文提出了一种加权最小二乘奇异值分解(WLS-SVD)方法，证明了一维变分数延迟(VFD)数字滤波器的设计问题可以巧妙地归结为一维常数滤波设计和一维多项式近似的更简单的子问题。利用变设计规范的WLS-SVD，我们证明了一维常数滤波和一维多项式同时具有对称性或反对称性。因此，通过设计具有对称或反对称系数的一维常量滤波器，并进行一维对称或反对称多项式逼近，可以有效地获得VFD滤波器。计算机仿真结果表明，与现有的WLS设计方法相比，WLS-SVD设计方法可以获得更高的设计精度，同时显著降低了滤波器的复杂度。
This paper proposes a weighted-least-squares singular-value-decomposition (WLS-SVD) method and shows that the problem of designing 1D variable fractional-delay (VFD) digital filter can be elegantly reduced to the easier sub-problems that involve 1D constant filter designs and 1D polynomial approximations. By utilizing the WLS-SVD of the variable design specification, we prove that both 1D constant filters and 1D polynomials possess either symmetry or antisymmetry simultaneously. Therefore, a VFD filter can be efficiently obtained by designing 1D constant filters with symmetric or antisymmetric coefficients and performing 1D symmetric or antisymmetric 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.