摘要
提出一种基于Padé有理逼近设计任意阶分抗的新方法.用Padé法得到逼近任意阶理想分抗的有理多项式系统函数,从阶频函数、误差指数、逼近带和K指数等方面对分抗逼近效果进行评测.讨论Padé方法的稳定性以及可实现性.最后从逼近效果和系统复杂度两个方面对不同逼近方法进行比较,证明了Padé方法在实际应用中的高效性,扩展了分抗逼近电路和分数演算的研究范围.
A new method in design of arbitrary order fractance circuit based on Padé rational approximation is presented.Rational system function is derived to approach ideal fractance by Padé method.Order-frequency function,error index,approximate band and K-index are defined and used to be criterion for estimating the results of approximation.The stability and the realization are discussed.Comparison of different approximation methods is discussed in approximation results and system complexity.The results compared to the different methods verified the efficiency of Padé method in practical applications,and expanded the scope of the study in design of analog fractance circuit and fractional calculus.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第2期293-298,共6页
Journal of Sichuan University(Natural Science Edition)
关键词
分数演算
Padé方法
分抗
K指数
逼近带
fractional calculus
Padé method
fractance
K-index
approximate band
