Efficient generation of long-memory signals using lattice structures
ASILOMAR '95 Proceedings of the 29th Asilomar Conference on Signals, Systems and Computers (2-Volume Set)
A new IIR-type digital fractional order differentiator
Signal Processing - Special issue: Fractional signal processing and applications
Fractional differentiation for edge detection
Signal Processing - Special issue: Fractional signal processing and applications
On focusing matrices for wide-band array processing
IEEE Transactions on Signal Processing
Iterative design of variable fractional-order IIR differintegrators
Signal Processing
Studies on fractional order differentiators and integrators: A survey
Signal Processing
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Modeling and numerical analysis of fractional-order Bloch equations
Computers & Mathematics with Applications
Hi-index | 0.08 |
In this paper, the design of fractional order Simpson digital integrator is investigated. First, the conventional transfer function of second-order IIR Simpson integrator is factorized into product of first-order factors. Then, each factor of product is fractionalized by taking fractional power and using binomial series expansion. Next, truncating the length of series expansion, the transfer functions of FIR and IIR fractional order Simpson integrators are obtained. It is shown that the IIR fractional integrator is always stable. Finally, design examples are demonstrated to illustrate the performance of the proposed method and some further improvement using fractional delay is also discussed.