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Chebyshev模拟滤波器离散化问题分析与解决
引用本文:刘冰,赵长山,赵东,魏宗康.Chebyshev模拟滤波器离散化问题分析与解决[J].导航与控制,2017,16(4):78-82.
作者姓名:刘冰  赵长山  赵东  魏宗康
作者单位:北京航天控制仪器研究所,北京,100039
摘    要:针对高阶次、 低截止频率的Chebyshev模拟滤波器离散化发散问题,从滤波器阶次、采样步长、 截止频率、 离散化方法、 滤波器种类等方面进行了细致分析,得出定性原因,并针对该问题给出了通用解决方法.通过仿真实例和试验,验证了所提方法的有效性.

关 键 词:Chebyshev滤波器  离散化  采样  截断误差

On Analysis and Solution of the Chebyshev Filter Discretization Problem
LIU Bing,ZHAO Chang-shan,ZHAO Dong and WEI Zong-kang.On Analysis and Solution of the Chebyshev Filter Discretization Problem[J].Navigation and Control,2017,16(4):78-82.
Authors:LIU Bing  ZHAO Chang-shan  ZHAO Dong and WEI Zong-kang
Institution:Beijing Institute of Aerospace Control Devices,Beijing 100039,Beijing Institute of Aerospace Control Devices,Beijing 100039,Beijing Institute of Aerospace Control Devices,Beijing 100039 and Beijing Institute of Aerospace Control Devices,Beijing 100039
Abstract:The discretization problem of Chebyshev filter is addressed in this paper. Considering the order, sampling rate, cross frequency, disretization method and filter style, a detailed comparing analysis is given, and two solutions to that problem is also proposed. Finally, simulation example and one experiment results are given to prove the effectiveness of the proposed methods
Keywords:Chebyshev filter  discretization  sampling  truncation error
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