Equiripple and minimax (Chebyshev) approximations for recursive digital filters
Equiripple and minimax (Chebyshev) approximations for recursive digital filters
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DOI：
10.1109/tassp.1974.1162556
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发表时间：
1974-04
期刊：
影响因子：
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通讯作者：
A. Deczky
中科院分区：
文献类型：
--
作者：
A. Deczky
考虑设计递归数字滤波器的问题，其频率响应在单个区间上近似于切比雪夫意义上的任意指定函数。详细研究了最佳切比雪夫近似不是等波纹的某些退化情况，并给出了确定最佳切比雪夫以及最佳等波纹近似的算法。最后，给出了一些说明该算法应用的例子。
The problem of designing recursive digital filters whose frequency response approximates an arbitrarily prescribed function in the Chebyshev sense on a single interval is considered. Certain degenerate cases where the best Chebyshev approximation is not equiripple are studied in detail, and an algorithm is given for determining the best Chebyshev as well as the best equiripple approximation. Finally, a number of examples illustrating applications of this algorithm are given.