An iterative method for the design of variable fractional-order FIR differintegrators

Authors:
Jong-Jy Shyu;Soo-Chang Pei;Cheng-Han Chan
Affiliations:
Department of Electrical Engineering, National University of Kaohsiung, No. 700, Kaohsiung University Rd., Nan-Tzu District, Kaohsiung 811, Taiwan, ROC;Department of Electrical Engineering, National Taiwan University, Taiwan, ROC;Department of Computer and Communication Engineering, National Kaohsiung First University of Science and Technology, Taiwan, ROC
Venue:
Signal Processing
Year:
2009

Citing 10
Cited 7

Discrete-time control systems

Discrete-time control systems
General form for designing two-dimensional quadrantally symmetric linear-phase FIR digital filters by analytical least-squares method

Signal Processing
A new IIR-type digital fractional order differentiator

Signal Processing - Special issue: Fractional signal processing and applications
Fundamental properties of the fractional-order discrete-time integrator

Signal Processing - Special issue: Fractional signal processing and applications
Fractional differentiation for edge detection

Signal Processing - Special issue: Fractional signal processing and applications
Design of variable and adaptive fractional order FIR differentiators

Signal Processing - Fractional calculus applications in signals and systems
Design of FIR and IIR fractional order Simpson digital integrators

Signal Processing
Design of fractional order digital differentiator using radial basis function

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Weighted-Least-Squares Design of Variable Fractional-Delay FIR Filters Using Coefficient Symmetry

IEEE Transactions on Signal Processing
Fast design of 2-D linear-phase complex FIR digital filters byanalytical least squares method

IEEE Transactions on Signal Processing

Minimax phase error design of allpass variable fractional-delay digital filters by iterative weighted least-squares method

Signal Processing
Iterative design of variable fractional-order IIR differintegrators

Signal Processing
A new structure for the design of wideband variable fractional-order FIR differentiators

Signal Processing
Variable-order fractional derivatives and their numerical approximations

Signal Processing
Design of adjustable fractional order differentiator using expansion of ideal frequency response

Signal Processing
Design of linear phase FIR filters using fractional derivative constraints

Signal Processing
Designs of two-dimensional linear phase FIR filters using fractional derivative constraints

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

In the paper, a new method is proposed for the design of variable fractional-order (VFO) FIR differintegrators. Comparing with the existing methods, the elements of relevant matrices can be determined just by the given specification, which makes the method easier. An iterative technique is also incorporated to adjust the weighting function, such that the peak absolute error of variable frequency response can be reduced drastically. Several design examples, including a VFO differintegrator, two VFO differentiators and a VFO integrator, are presented to demonstrate the effectiveness and flexibility of the proposed method.