Recursive filter design using differential correction
Recursive filter design using differential correction
复制标题
使用微分校正的递归滤波器设计
DOI：
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发表时间：
1974
期刊：
影响因子：
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通讯作者：
D. Dudgeon
中科院分区：
文献类型：
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作者：
D. Dudgeon
Thajchayapong和Rayner [1]最近的工作展示了一种通过线性规划设计递归无限脉冲响应（IIR）数字滤波器的技术。通过使用Barrodale等人[2]描述的算法，即微分校正算法，我们将展示如何在Chebyshev范数下获得给定幅度平方频率响应的最佳有理逼近。这种优化可以在不相交的频率点集合上进行，从而避免了过渡频带中给定的幅度平方频率响应的指定。此外，它将显示如何微分校正算法很容易推广到包括加权切比雪夫近似。
Recent work by Thajchayapong and Rayner [1] demonstrated a technique for designing recursive infinite impulse response (IIR) digital filters by linear programming. By using an algorithm, described by Barrodale et al. [2], the differential correction algorithm, we will show how one may obtain optimum rational approximations to a given magnitude-squared frequency response in the Chebyshev norm. This optimization may be carried out on disjoint sets of frequency points obviating specification of the given magnitude-squared frequency response in transition bands. In addition, it will be shown how the differential correction algorithm is easily generalized to include weighted Chebyshev approximation.