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Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonicaltransforms Research Articles

Xiaoxiao HU, Dong CHENG, Kit Ian KOU,huxiaoxiao3650@163.com

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 3,   Pages 463-478 doi: 10.1631/FITEE.2000499

Abstract: different types of sampling formulas of quaternionic functions, which are bandlimited under various quaternionFourier and linear canonical transforms.functions can be reconstructed from their samples as well as the samples of their derivatives and Hilbert transformsIn addition, the relationships among different types of sampling formulas under various transforms areSecond, using the relationship between the two-sided quaternion Fourier transform and the linear canonical

Keywords： Quaternion Fourier transforms     Quaternion linear canonical transforms     Sampling theorem     Quaternion partialand total Hilbert transforms     Generalized quaternion partial and total Hilbert transforms     Truncation    

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Design and analysis of linear oscillating motor for linear pump application-magnetic field, dynamics

Zongxia JIAO,Tianyi WANG,Liang YAN

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 4,   Pages 351-362 doi: 10.1007/s11465-016-0407-9

Abstract:

A linear oscillating motor is an electromagnetic actuator that can achieve short-stroke reciprocatingIt has been widely used in linear pump applications as the source of power and motion.However, because of the demand of high power density in a linear actuation system, the performance oflinear oscillating motors has been the focus of studies and deserves further research for high powerlinear pump applications.

Keywords： linear oscillating motor     linear pump     magnetic field     motor optimization    

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Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption

Junxiong LIN , Lan WANG ,

Frontiers of Environmental Science & Engineering 2009, Volume 3, Issue 3,   Pages 320-324 doi: 10.1007/s11783-009-0030-7

Abstract: The best-fit equations of linear and non-linear forms of the two widely used kinetic models, namely pseudo-first-orderThe results show that the non-linear forms of pseudo-first-order and pseudo-second-order models weremore suitable than the linear forms for fitting the experimental data.The experimental kinetics may have been distorted by linearization of the linear kinetic equations, andthus, the non-linear forms of kinetic equations should be primarily used to obtain the adsorption parameters

Keywords： adsorption     pseudo-first order     pseudo-second order     kinetic model     linear method     non-linear method    

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Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued Research Articles

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 2,   Pages 234-246 doi: 10.1631/FITEE.1900409

Abstract: study, we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued

Keywords： Mittag-Leffler stability     Fractional-order     Quaternion-valued neural networks     Impulse    

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General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 1,   Pages 15-24 doi: 10.1007/s11465-009-0015-z

Abstract: such as ARMA, AR, and MA are founded on the normality and stationarity of a system and expressed by a lineardifference equation; therefore, they are strictly limited to the linear system.This paper proposes a general expression for linear and nonlinear auto-regressive time series models

Keywords： linear and nonlinear     autoregressive model     system identification     time series analysis    

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Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 2,   Pages 83-95 doi: 10.1631/FITEE.1500334

Abstract: However, the applications so far have been limited to mainly real-valued functions and linear -valued

Keywords： Quaternion     Gradient operator     Signal processing     Least mean square (LMS) algorithm     Nonlinear adaptive    

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Development of a novel hand−eye calibration for intuitive control of minimally invasive surgical robot

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 3, doi: 10.1007/s11465-022-0698-y

Abstract: We proposed a novel two-step modified dual quaternion for hand−eye calibration in this study.The dual quaternion was exploited to solve the hand−eye calibration simultaneously and powered by an

Keywords： minimally invasive surgery     hand−eye calibration     intuitive control     surgical robot     dual quaternion    

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The Method of Calculating the Value of Perfect Information Based on the Influence Diagram

Liu Yanqiong,Chen Yingwu

Strategic Study of CAE 2006, Volume 8, Issue 8,   Pages 45-49

Abstract: Also, the definition of the Howard canonical form is modified.

Keywords： value of perfect information     influence diagram     Howard canonical form    

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Multiple linear regression, artificial neural network, and fuzzy logic prediction of 28 days compressive

Faezehossadat KHADEMI,Mahmoud AKBARI,Sayed Mohammadmehdi JAMAL,Mehdi NIKOO

Frontiers of Structural and Civil Engineering 2017, Volume 11, Issue 1,   Pages 90-99 doi: 10.1007/s11709-016-0363-9

Abstract: In this paper, considering the experimental results, three different models of multiple linear regressionreliably evaluate the compressive strength of concrete with different mix designs, however, multiple linear

Keywords： concrete     28 days compressive strength     multiple linear regression     artificial neural network     ANFIS     sensitivity    

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System construction of a four-side primary permanent-magnet linear motor drive mechanical press

Jintao LIANG, Zhengfeng MING, Peida LI

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 4,   Pages 600-609 doi: 10.1007/s11465-020-0597-z

Abstract: A primary permanent-magnet linear motor (PPMLM) has a robust secondary structure and high force density

Keywords： mechanical press     direct drive     primary permanent-magnet linear motor (PPMLM)     servo system     active disturbance    

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Model reduction techniques for dynamics analysis of ultra-precision linear stage

Xuedong CHEN, Zhixin LI

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 1,   Pages 64-70 doi: 10.1007/s11465-009-0009-x

Abstract: to simplify the internal interaction in the proposed finite element (FE) model of an ultra-precision linear

Keywords： dynamics analysis     air-bearing     linear stage     reduction    

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A linear quadratic regulator control of a stand-alone PEM fuel cell power plant

Amar BENAISSA, Boualaga RABHI, Ammar MOUSSI, Dahmani AISSA

Frontiers in Energy 2014, Volume 8, Issue 1,   Pages 62-72 doi: 10.1007/s11708-013-0291-5

Abstract: This paper introduces a technique based on linear quadratic regulator (LQR) to control the output voltage

Keywords： modeling of proton exchange membrane fuel cell (PEMFC)     controlling of PEMFC     linear quadratic regulator    

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Load shedding scheme for the two-area system with linear quadratic regulator

D. TYAGI, Ashwani KUMAR, Saurabh CHANANA

Frontiers in Energy 2013, Volume 7, Issue 1,   Pages 90-102 doi: 10.1007/s11708-012-0224-8

Abstract: conducted for three scenarios: the scheme with a conventional integral controller; the scheme with a linear

Keywords： critical load     frequency response     load shedding (LS)     multi-area system     rate of change of frequency     linear    

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Development of a masticatory robot using a novel cable-driven linear actuator with bidirectional motion

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 4, doi: 10.1007/s11465-022-0687-1

Abstract: A cable-driven linear actuator (CDLA) capable of bidirectional motion is proposed in this study to design

Keywords： masticatory robot     cable-driven     linear actuator     parallel robot     stiffness analysis    

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Mechatronic design of a novel linear compliant positioning stage with large travel range and high out-of-plane

Hua LIU, Xin XIE, Ruoyu TAN, Lianchao ZHANG, Dapeng FAN

Frontiers of Mechanical Engineering 2017, Volume 12, Issue 2,   Pages 265-278 doi: 10.1007/s11465-017-0453-y

Abstract: In this study, a 2-degree-of-freedom linear compliant positioning stage (LCPS) is developed by mechatronic

Keywords： mechatronic design     linear compliant positioning stage     large travel range     high out-of-plane payload capacity    

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Title Author Date Type Operation

Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonicaltransforms

Xiaoxiao HU, Dong CHENG, Kit Ian KOU,huxiaoxiao3650@163.com

Journal Article

Design and analysis of linear oscillating motor for linear pump application-magnetic field, dynamics

Zongxia JIAO,Tianyi WANG,Liang YAN

Journal Article

Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption

Junxiong LIN , Lan WANG ,

Journal Article

Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Journal Article

General expression for linear and nonlinear time series models

Ren HUANG, Feiyun XU, Ruwen CHEN

Journal Article

Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Journal Article

Development of a novel hand−eye calibration for intuitive control of minimally invasive surgical robot

Journal Article

The Method of Calculating the Value of Perfect Information Based on the Influence Diagram

Liu Yanqiong,Chen Yingwu

Journal Article

Multiple linear regression, artificial neural network, and fuzzy logic prediction of 28 days compressive

Faezehossadat KHADEMI,Mahmoud AKBARI,Sayed Mohammadmehdi JAMAL,Mehdi NIKOO

Journal Article

System construction of a four-side primary permanent-magnet linear motor drive mechanical press

Jintao LIANG, Zhengfeng MING, Peida LI

Journal Article

Model reduction techniques for dynamics analysis of ultra-precision linear stage

Xuedong CHEN, Zhixin LI

Journal Article

A linear quadratic regulator control of a stand-alone PEM fuel cell power plant

Amar BENAISSA, Boualaga RABHI, Ammar MOUSSI, Dahmani AISSA

Journal Article

Load shedding scheme for the two-area system with linear quadratic regulator

D. TYAGI, Ashwani KUMAR, Saurabh CHANANA

Journal Article

Development of a masticatory robot using a novel cable-driven linear actuator with bidirectional motion

Journal Article

Mechatronic design of a novel linear compliant positioning stage with large travel range and high out-of-plane

Hua LIU, Xin XIE, Ruoyu TAN, Lianchao ZHANG, Dapeng FAN

Journal Article