Using New Hybrid Integrators to Design IIR Fractional-Order Integrators via Impulse Invariance Method

被引：0
作者：
Chafia Mekhnache
Youcef Ferdi
机构：
[1] Skikda University,LRES Laboratory, Electrical Engineering Department
来源：
Circuits, Systems, and Signal Processing | 2014年 / 33卷
关键词：
Digital integrators; Hybrid integrators; Fractional-order integrators; Impulse invariance method; Signal modeling;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents a method for designing fullband and non-fullband IIR digital integrators with linear phase that has been used to approximate fractional-order integrators with IIR filters. Several numerical integration rules have been considered in this study, namely, Euler, Simpson, Schneider, bilinear, and F012. The main idea in our design is based on interpolating the well-known integration rules (Euler, Bilinear and Simpson) proposed by Al-Alaoui combined with deterministic signal modeling techniques. Numerical examples are presented to illustrate the performance of the proposed integrators. It was found that the Euler–Simpson integrator gives better approximation accuracy than existing integrators.
引用
收藏
页码：643 / 653
页数：10
相关论文
共 27 条
  • [1] Al-Alaoui M.A.(1995)A class of second-order integrators and low-pass differentiators IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 42 220-223
  • [2] Al-Alaoui M.A.(2001)Low frequency differentiators and integrators for biomedical and seismic signals IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 48 1006-1011
  • [3] Al-Alaoui M.A.(2008)Al-Alaoui operator and the new transformation polynomials for discretization of analogue system Electr. Eng. 90 455-467
  • [4] Ferdi Y.(2006)Computation of fractional order derivatives and integral via power series expansion and signal modeling Nonlinear Dyn. 46 1-15
  • [5] Ferdi Y.(2009)Impulse invariance-based method for the computation of fractional integral of order 0< Comput. Electr. Eng. 35 722-729
  • [6] Gurova E.(1996)<1 Electron. Lett. 32 1182-1183
  • [7] Hsue C.-W.(2006)Modified stability approach for higher-order s-to-z mapping functions IEEE Trans. Microw. Theory Tech. 54 1043-1047
  • [8] Tsai L.-C.(2012)Time constant control of microwave integrators using transmission lines Circuits Syst. Signal Process. 47 1772-1775
  • [9] Tsai Y.-H.(1999)Square-root-domain realization of single-cell architecture of complex TDCNN IEEE Trans. Signal Process. 44 345-353
  • [10] Khanday F.A.(1996)FIR linear phase approximations of frequency response 1/( IEEE Trans. Signal Process. 29 971-973
123