一种分数阶微分ⅡR滤波器的设计方法和改进  

Design Method and Improvement of ⅡR Fractional Order Differential Filter

作　　者：杨柱中[1] 周激流[2] 严斌宇[1] 郭辉[3] 

机构地区：[1]四川大学电子信息学院,四川成都610064 [2]四川大学计算机学院,四川成都610064 [3]新疆工业高等专科学校,新疆乌鲁木齐830091

出　　处：《现代电子技术》2009年第2期54-58,共5页Modern Electronics Technique

基　　金：国家自然科学基金资助项目(60572033);教育部博士点基金资助项目(20020610013)

摘　　要：提出一种在不增加分数阶微分滤波器复杂度的前提下,能有效提高分数阶微分滤波器性能的方法。该方法利用几种基于典型微分算子的分数阶微分滤波器之间的互补性,通过相互内插结合的方式,用于提高ⅡR分数阶数字滤波器的性能。改进后的分数阶微分滤波器频率响应更接近理想分数阶微分滤波器,表明所提方法的有效性。This paper proposes a design method which can improve the performance of fractional order differential filter obviously under the premise of not increasing the structure complexity of the filter. This scheme which bases on mutually compensatory characters of typical differentiator and uses interpolated method to improve performance of IIR digital fractional differential filter. The improved frequency response of fractional differential filter is more close to ideal fractional differential filter, it indicates the validity of proposed method.

关 键 词：分数阶微积分 数字微分器 ⅡR滤波器 微分算子 连续分数扩充 

分 类 号：TN713[电子电信—电路与系统]