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A Simple Design of Fractional Delay FIR Filter Based on Binomial Series Expansion Theory

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1 Published in 2019 at "Circuits, Systems, and Signal Processing"

DOI: 10.1007/s00034-018-1000-8

Abstract: Fractional delay filters modeling non-integer delays are digital filters that ideally have flat group delays. This paper proposes a simple design method of fractional delay FIR filter based on binomial series expansion theory. First, the… read more here.

Keywords: delay fir; fractional delay; filter; delay ... See more keywords

Numerical solutions of fractional delay differential equations using Chebyshev wavelet method

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0 Published in 2019 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-019-0953-y

Abstract: In the present research article, we used a new numerical technique called Chebyshev wavelet method for the numerical solutions of fractional delay differential equations. The Caputo operator is used to define fractional derivatives. The numerical… read more here.

Keywords: method numerical; solutions fractional; chebyshev wavelet; wavelet method ... See more keywords

A Tau–like numerical method for solving fractional delay integro–differential equations

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0 Published in 2020 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2020.01.006

Abstract: Abstract In this paper, an operational matrix formulation of the Tau method is herein discussed to solve a class of delay fractional integro–differential equations. The approximate solution is sought by using a suitable matrix representation… read more here.

Keywords: integro differential; fractional delay; method; delay ... See more keywords

Taylor series expansion based repetitive controllers for power converters, subject to fractional delays

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0 Published in 2017 at "Control Engineering Practice"

DOI: 10.1016/j.conengprac.2017.03.013

Abstract: Abstract Digital repetitive controllers are widely employed to track/reject the periodic signals with zero steady-state error. Their implementation involves the use of single or multiple digital delay elements. Practically, the delay element is implemented by… read more here.

Keywords: series expansion; delay; fractional delay; power ... See more keywords

Fractional delay filter based repetitive control for precision tracking: Design and application to a piezoelectric nanopositioning stage

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1 Published in 2022 at "Mechanical Systems and Signal Processing"

DOI: 10.1016/j.ymssp.2021.108249

Abstract: Abstract The development of nanotechnology requires a precision tracking of periodic signals in order to complete repetitive industrial or scientific tasks. Although repetitive control is an intuitive choice to realize precisely periodic signal’s tracking, an… read more here.

Keywords: repetitive control; control; integer; fractional delay ... See more keywords

Approximate controllability of fractional delay evolution inclusions with noncompact semigroups

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0 Published in 2019 at "Optimization"

DOI: 10.1080/02331934.2019.1625350

Abstract: ABSTRACT This paper is devoted to investigate the control systems governed by nonlinear fractional delay evolution inclusions (FDEIs) with noncompact semigroups. Under suitable assumptions, sufficient conditions for approximate controllability of FDEIs are established. The approximate… read more here.

Keywords: noncompact semigroups; fractional delay; delay evolution; evolution inclusions ... See more keywords

Closed-Form Design of Variable Fractional-Delay FIR Filters With Low or Middle Cutoff Frequencies

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1 Published in 2018 at "IEEE Transactions on Circuits and Systems I: Regular Papers"

DOI: 10.1109/tcsi.2017.2733554

Abstract: This paper aims to design variable fractional-delay (VFD) finite-impulse response (FIR) filters with controllable cutoff frequencies. Different with the existing designs, a particular ladder-shaped curve is selected as the desired transfer characteristic of the proposed… read more here.

Keywords: cutoff frequencies; fractional delay; fir filters; cutoff ... See more keywords

Fractional Repetitive Control of Nanopositioning Stages for High-Speed Scanning Using Low-Pass FIR Variable Fractional Delay Filter

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0 Published in 2020 at "IEEE/ASME Transactions on Mechatronics"

DOI: 10.1109/tmech.2020.2969222

Abstract: The repetitive control (RC), capable of tracking periodic trajectories and rejecting periodic disturbances, is a promising technique to control the nanopositioning stages for high-speed raster scanning. In digital implementation of the RC scheme, the number… read more here.

Keywords: fir variable; fractional delay; delay; low pass ... See more keywords

Improved Fractional Delay Method for Canceling the Self-Interference of Full Duplex

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3 Published in 2023 at "IEEE Transactions on Vehicular Technology"

DOI: 10.1109/tvt.2022.3206784

Abstract: For achieving the high spectral efficiency of the co-frequency co-time full duplex (CCFD), the self-interference (SI) should be cancelled drastically using the signal processing techniques. The radios frequency (RF) canceler uses the reconstructed SI symbol… read more here.

Keywords: fractional delay; self interference; full duplex; method ... See more keywords

Stability Switches of a Class of Fractional-Delay Systems With Delay-Dependent Coefficients

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0 Published in 2018 at "Journal of Computational and Nonlinear Dynamics"

DOI: 10.1115/1.4041083

Abstract: Stability of a dynamical system may change from stable to unstable or vice versa, with the change of some parameter of the system. This is the phenomenon of stability switches, and it has been investigated… read more here.

Keywords: switches class; fractional delay; stability switches; stability ... See more keywords

The controllability of nonlinear implicit fractional delay dynamical systems

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0 Published in 2017 at "International Journal of Applied Mathematics and Computer Science"

DOI: 10.1515/amcs-2017-0035

Abstract: Abstract This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo… read more here.

Keywords: delay dynamical; fractional delay; dynamical systems; controllability nonlinear ... See more keywords