摘要
从频域角度出发,分析了几种基于典型微分算子的IIR分数阶微分滤波器的数字实现,提出一种频率响应更接近理想微分的新算子,在此基础上运用连续分数扩充方法实现了分数阶微分滤波器的设计,并详细推导基于新算子的IIR分数阶微分滤波器的数字实现。实验证明,基于新算子的IIR分数阶微分滤波器频率响应整体上优于Tustin和Simpson等其他IIR分数阶滤波器。
The design of the ⅡR differentiator of fractional order is studied. Several typical derivative operators are analyzed and their implementation is discussed. A new derivative operator closer to the ideal one is proposed. The differentiator of fractional order based on the new derivative operator is implemented by using the method of the continuous fractional expansion. The digital realization of its ⅡR digital differentiator of fractional order is deduced in detail. The experiments show that the performance of the new ⅡR digital differentiator of fractional order is better than the conventional ones such as Tustin or Simpson.
出处
《成都信息工程学院学报》
2008年第2期169-173,共5页
Journal of Chengdu University of Information Technology
关键词
分数阶微分器
ⅡR滤波器
连续分数扩充
微分算子
分数阶微积分
differentiator of fractional order
ⅡR filter
continuous fractional expansion
derivative operator
fractional calculus
