| 压控电压源2n阶单位增益巴特沃斯低通滤波器优化设计 |
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| 引用本文： | 杨勇,邢磊,诸远奇,杨文璐.压控电压源2n阶单位增益巴特沃斯低通滤波器优化设计[J].电子学报,2011,39(8):1894-1897. |
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| 作者姓名： | 杨勇 邢磊 诸远奇 杨文璐 |
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| 作者单位： | 1. 中国地质大学(武汉)数理学院,湖北武汉,430074
2. 华中科技大学光电科学与工程学院,湖北武汉,430074 |
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| 摘 要： | 在分析滤波器误差等值曲线的基础上,提出一个优化设计2n阶压控电压源(VCVS)单位增益巴特沃斯f0Hz低通滤波器的方法:先将2n阶低通分解为n个二阶低通,对第i个低通,若对应多项式的一次项系数为ai,则选取两个电容C1i和c2,使C2／C1i为0.25α2i,取两相同电阻R1i和R2i为1/παif0C1i.显然此方法...
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| 关 键 词： | 低通滤波器 优化设计 2n阶 稳定性 MathCAD 蒙特卡洛 |
| 收稿时间： | 2010-11-25 |
Optimal Design of 2nth-Order Voltage-Controlled Voltage Source Unit Gain Butterworth Low-Pass Filter |
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| YANG Yong,XING Lei,ZHU Yuan-qi,YANG Wen-lu.Optimal Design of 2nth-Order Voltage-Controlled Voltage Source Unit Gain Butterworth Low-Pass Filter[J].Acta Electronica Sinica,2011,39(8):1894-1897. |
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| Authors: | YANG Yong XING Lei ZHU Yuan-qi YANG Wen-lu |
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| Affiliation: | 1. School of Mathematics and Physics,China University of Geosciences(Wuhan),Wuhan,Hubei 430074,China;2. College of Optoelectronic Science and Engineering,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China |
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| Abstract: | Reports a method of design 2nth-order Voltage-controlled Voltage Source(VCVS) low-pass filter,based on analyzing the error isogram by MathCAD,the paper put forward the optimal design plan of 2nth-order VCVS unit-gain Butterworth f0 Hz low-pass filter:firstly,decompose 2nth-order filter into n 2nd-order filters.For the ith one,if monomial coefficient of the polynomial expression is αi ,select two capacitances C1i and C2i,making C2i/C1i 0.25 αi2,and then calculate value of the two resistances by the same expression 1/παi f0 C1i.Obviously,the design plan has the advantages of convenience,low-cost.And with the aid of Monte Carlo analysis,parameter sweep analysis and real circuit experiment the design plan has also been verified its advantage of stability.In addition,analysises also shows different C,R have different influence on the filter features. |
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| Keywords: | optimal design low-pass filter 2nth-order stability MathCAD Monte Carlo |
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