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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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Identification of faults through wavelet transform vis-à-vis fast Fourier transform of noisy vibration

Deepak PALIWAL,Achintya CHOUDHURY,T. GOVANDHAN

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 2,   Pages 130-141 doi: 10.1007/s11465-014-0298-6

Abstract: For this purpose, the performances of envelope detection with fast Fourier transform (FFT) and continuous

Keywords： Fault detection     spline wavelet     continuous wavelet transform     fast Fourier transform    

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Sparse fast Clifford Fourier transform Article

Rui WANG, Yi-xuan ZHOU, Yan-liang JIN, Wen-ming CAO

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 8,   Pages 1131-1141 doi: 10.1631/FITEE.1500452

Abstract: The Clifford Fourier transform (CFT) can be applied to both vector and scalar fields.The sparse fast Fourier transform (sFFT) theory deals with the big data problem by using input data selectively

Keywords： Sparse fast Fourier transform (sFFT)     Clifford Fourier transform (CFT)     Sparse fast Clifford Fourier    

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Thermogravimetric coupled with Fourier transform infrared analysis study on thermal treatment of monopotassium

Yuheng FENG, Xuguang JIANG, Yong CHI, Xiaodong LI, Hongmei ZHU

Frontiers of Environmental Science & Engineering 2011, Volume 5, Issue 2,   Pages 186-192 doi: 10.1007/s11783-011-0322-6

Abstract: phosphate residue), considered as a hazardous waste, were studied using a thermogravimetric, coupled with Fourier

Keywords： hazardous waste     combustion     pyrolysis     thermogravimetric coupled with Fourier transform infrared analysis    

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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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Real time monitoring of bioreactor mAb IgG3 cell culture process dynamics via Fourier transform infrared

Huiquan Wu, Erik Read, Maury White, Brittany Chavez, Kurt Brorson, Cyrus Agarabi, Mansoor Khan

Frontiers of Chemical Science and Engineering 2015, Volume 9, Issue 3,   Pages 386-406 doi: 10.1007/s11705-015-1533-3

Abstract: However, the use of inline Fourier transform infrared (FTIR) spectroscopic techniques for bioreactor

Keywords： process analytical technology (PAT)     Fourier-transform infrared (FTIR) spectroscopy     partial least squares    

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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: The gradients of a -valued function are often required for ic algorithms. The HR provides a viable framework and has found a number of applications. However, the applications so far have been limited to mainly real-valued functions and linear -valued functions. To generalize the operator to nonlinear functions, we define a restricted version of the HR operator, which comes in two versions, the left and the right ones. We then present a detailed analysis of the properties of the operators, including several different product rules and chain rules. Using the new rules, we derive explicit expressions for the derivatives of a class of regular nonlinear -valued functions, and prove that the restricted HR gradients are consistent with the gradients in the real domain. As an application, the derivation of the least mean square algorithm and a nonlinear adaptive algorithm is provided. Simulation results based on vector sensor arrays are presented as an example to demonstrate the effectiveness of the -valued signal model and the derived algorithm.

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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coherent detection of maneuvering targets based on location rotation transform and non-uniform fast Fourier Research Articles

Ke Jin, Tao Lai, Yan-li Qi, Jie Huang, Yong-jun Zhao,jinke_xd@outlook.com

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 8,   Pages 1251-1266 doi: 10.1631/FITEE.1900272

Abstract: Long-term can remarkably improve the ability of detection and motion of radar for s. However, the linear range migration, quadratic range migration (QRM), and Doppler frequency migration within the coherent processing interval seriously degrade the detection and estimation performance. Therefore, an efficient and noise-resistant method based on and is proposed. QRM is corrected by the second-order keystone transform. Using the relationship between the rotation angle and Doppler frequency, a novel phase compensation function is constructed. Motion parameters can be rapidly estimated by LRT and NuFFT. Compared with several representative algorithms, the proposed method achieves a nearly ideal detection performance with low computational cost. Finally, experiments based on measured radar data are conducted to verify the proposed algorithm.

Keywords： integration     Maneuvering target     Parameter estimation     Location rotation transform (LRT)     Non-uniform fast Fourier    

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Long-Term Observations of Atmospheric Constituents at the First Ground-Based High-Resolution Fourier-Transform Article

Cheng Liu,Youwen Sun,Changgong Shan,Wei Wang,Justus Notholt,Mathias Palm,Hao Yin,Yuan Tian,Jixi Gao,Huiqin Mao

Engineering 2023, Volume 22, Issue 3,   Pages 201-214 doi: 10.1016/j.eng.2021.11.022

Abstract: This study provides an overview of the first ground-based high-resolution Fourier-transform spectrometry

Keywords： Remote sensing     Fourier-transform     Atmospheric pollution     Greenhouse gases     Climate change    

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Control efficiency optimization and Sobol’s sensitivity indices of MTMDs design parameters for buffeting and flutter vibrations in a cable stayed bridge

Nazim Abdul NARIMAN

Frontiers of Structural and Civil Engineering 2017, Volume 11, Issue 1,   Pages 66-89 doi: 10.1007/s11709-016-0356-8

Abstract: element program is utilized to run numerical simulations with the support of MATLAB codes and Fast Fourier

Keywords： MTMDs     power spectral density     fast Fourier transform     minimax optimization technique     Sobol’s sensitivity    

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Pyrolysis behaviors of oil sludge based on TG/FTIR and PY-GC/MS

Wei SONG, Jianguo LIU, Yongfeng NIE,

Frontiers of Environmental Science & Engineering 2010, Volume 4, Issue 1,   Pages 59-64 doi: 10.1007/s11783-009-0152-y

Abstract: Thermogravimetric Analysis-Fourier Transform Infrared Spectroscopy and Pyrolysis-Gas Chromatography/Mass

Keywords： oil sludge     pyrolysis     Thermogravimetric Analysis-Fourier Transform Infrared Spectroscopy (TG-FTIR)     Pyrolysis-Gas    

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Dynamics of structural systems with various frequency-dependent damping models

Li LI,Yujin HU,Weiming DENG,Lei LÜ,Zhe DING

Frontiers of Mechanical Engineering 2015, Volume 10, Issue 1,   Pages 48-63 doi: 10.1007/s11465-015-0330-5

Abstract: Both the mode superposition method and Fourier transform method are developed for calculating the dynamicnonzero initial conditions into an equivalent one with zero initial conditions and therefore present a Fourier

Keywords： damping     viscoelasticity     dynamic analysis     mode superposition method     Fourier transform method    

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A combined experimental and theoretical study of micronized coal reburning

Hai ZHANG, Jiaxun LIU, Jun SHEN, Xiumin JIANG

Frontiers in Energy 2013, Volume 7, Issue 1,   Pages 119-126 doi: 10.1007/s11708-012-0226-6

Abstract: To elucidate the advantages of MCR, a combination of Diffuse Reflection Fourier Transform Infrared (FTIR

Keywords： hydroxyl radicals     Fourier transform infrared spectroscopy (FTIR)     density functional theory (DFT)     homogeneous    

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High-Throughput Screening Using Fourier-Transform Infrared Imaging Article

Erdem Sasmaz, Kathleen Mingle, Jochen Lauterbach

Engineering 2015, Volume 1, Issue 2,   Pages 234-242 doi: 10.15302/J-ENG-2015040

Abstract: Of these, rapid-scanning Fourier-transform infrared (FTIR) imaging is one of the fastest and most versatile

Keywords： high-throughput     FTIR imaging     screening     cobalt oxide     CO oxidation    

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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

Identification of faults through wavelet transform vis-à-vis fast Fourier transform of noisy vibration

Deepak PALIWAL,Achintya CHOUDHURY,T. GOVANDHAN

Journal Article

Sparse fast Clifford Fourier transform

Rui WANG, Yi-xuan ZHOU, Yan-liang JIN, Wen-ming CAO

Journal Article

Thermogravimetric coupled with Fourier transform infrared analysis study on thermal treatment of monopotassium

Yuheng FENG, Xuguang JIANG, Yong CHI, Xiaodong LI, Hongmei ZHU

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

Real time monitoring of bioreactor mAb IgG3 cell culture process dynamics via Fourier transform infrared

Huiquan Wu, Erik Read, Maury White, Brittany Chavez, Kurt Brorson, Cyrus Agarabi, Mansoor Khan

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

coherent detection of maneuvering targets based on location rotation transform and non-uniform fast Fourier

Ke Jin, Tao Lai, Yan-li Qi, Jie Huang, Yong-jun Zhao,jinke_xd@outlook.com

Journal Article

Long-Term Observations of Atmospheric Constituents at the First Ground-Based High-Resolution Fourier-Transform

Cheng Liu,Youwen Sun,Changgong Shan,Wei Wang,Justus Notholt,Mathias Palm,Hao Yin,Yuan Tian,Jixi Gao,Huiqin Mao

Journal Article

Control efficiency optimization and Sobol’s sensitivity indices of MTMDs design parameters for buffeting and flutter vibrations in a cable stayed bridge

Nazim Abdul NARIMAN

Journal Article

Pyrolysis behaviors of oil sludge based on TG/FTIR and PY-GC/MS

Wei SONG, Jianguo LIU, Yongfeng NIE,

Journal Article

Dynamics of structural systems with various frequency-dependent damping models

Li LI,Yujin HU,Weiming DENG,Lei LÜ,Zhe DING

Journal Article

A combined experimental and theoretical study of micronized coal reburning

Hai ZHANG, Jiaxun LIU, Jun SHEN, Xiumin JIANG

Journal Article

High-Throughput Screening Using Fourier-Transform Infrared Imaging

Erdem Sasmaz, Kathleen Mingle, Jochen Lauterbach

Journal Article