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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.bandlimited functions can be reconstructed from their samples as well as the samples of their derivatives and Hilberttransforms.Second, 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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The Study of an Improved Algorithm About Hilbert Energy Spectrum

Yang Jianwen,Jia Minping,Xu Feiyun,Hu Jianzhong

Strategic Study of CAE 2005, Volume 7, Issue 7,   Pages 55-59

Abstract:

The Hilbert energy spectrum's principle in HHT is analyzed in the paper; Aimed to solve the endinstantaneous spectrum figure, the cause is researched and ARMA model is introduced in the calculation of Hilbertmethods, the advanced method is proved to be able to improve the end problem effectively and optimize the Hilbert

Keywords： Hilbert transform     the distortion of end     instantaneous parameter     intrinsic mode function    

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Performance enhancement of partially shaded solar PV array using novel shade dispersion technique

Namani RAKESH,T. Venkata MADHAVARAM

Frontiers in Energy 2016, Volume 10, Issue 2,   Pages 227-239 doi: 10.1007/s11708-016-0405-y

Abstract: voltaic array (SPVA) generates a smaller amount of power than the standard rating of the panel due to the partialIn this approach, the physical location of the modules in the total cross tied (TCT) connected in thedistribution of the effect of shading over the entire array, thereby, reducing the mismatch losses caused by partial

Keywords： photovoltaic cells     mismatch loss     shading patterns     partial shading     magic square     power enhancement     globalpeaks and total cross tied (TCT)    

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Methanation and chemolitrophic nitrogen removal by an anaerobic membrane bioreactor coupled partial nitrification

Frontiers of Environmental Science & Engineering 2023, Volume 17, Issue 6, doi: 10.1007/s11783-023-1668-2

Abstract:

● Efficient carbon methanation and nitrogen removal was achieved in AnMBR-PN/A system.

Keywords： Anaerobic membrane bioreactor     Partial nitrification/Anammox     Carbon separation     Chemolitrophic nitrogen    

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“Partial pressures” of humid air in wide pressure and temperature ranges

Zidong WANG, Hanping CHEN, Shilie WENG

Frontiers in Energy 2013, Volume 7, Issue 4,   Pages 511-517 doi: 10.1007/s11708-013-0281-7

Abstract: “Partial pressure” in humid air is a question very much concerned by scientists and no satisfactory answerThis paper proposes a novel method to obtain the “partial pressures” of the water vapor and dry air inThe results obtained by the proposed method are quite different from that obtained by Dalton’s partialOne discovery is that the “partial pressure” of the water vapor in saturated humid air equals , ratherThis paper satisfactorily answers the quest of “partial pressures” in humid air from a new perspective

Keywords： partial pressure     Dalton’s partial pressure law     humid air     saturated     unsaturated    

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Study on online monitoring method for flood discharge structure damage based on Hilbert-Huang Transform

Lian Jijian,Li Chengye,Liu Fang,Ma Bin

Strategic Study of CAE 2011, Volume 13, Issue 12,   Pages 38-44

Abstract:

In the long-term service period, many factors may lead to serious damages and deficiencies to the structure, such as complicated working conditions, inadequate investigation and design, poor management, aging of structure, etc. Therefore, it's very important to study the online monitoring method for flood discharge. According to the special advantages of HHT in instantaneous characteristics analysis and signal processing, an online monitoring method for flood discharge structure damage based on HHT is put forward in this paper. Firstly, after obtaining the HHT energy spectrum of measured responses, the energy distribution vector, defined as ηi , can be calculated. Then, because of the η i differences between undamaged and damaged situations, we determine the structure anomaly indexes and the warning threshold. Finally, having been calculating the anomaly indexes of adjacent time periods, the damage online monitoring can be realized. The results from the numerical simulation test of a guide wall demonstrate that the anomaly indexes mentioned above can accurately identify the structure damage and have anti-noise ability to some degree. However, the further research for estimating the damage location and degree need to be developed in the next period.

Keywords： flood discharge structure     Hilbert-Huang Transform     the energy distribution vector     anomaly index     warning    

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Upper bound solution to seismic active earth pressure of submerged backfill subjected to partial drainage

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 6,   Pages 1480-1493 doi: 10.1007/s11709-021-0776-y

Abstract: method to evaluate the seismic active earth pressure on a retaining wall with backfill subjected to partialThe method comprises the following steps: i) determination of the total head, ii) upper bound solutionThe determination of total head h(x,z) relies on the Fourier series expansions,The numerical results confirm the validity of the total head distribution.

Keywords： seismic active earth pressure     partial seepage flow     pore pressure     anisotropy     upper bound theorem    

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Methane partial oxidation over NiO-MgO/Ce

Piyawat PUE-ON, Vissanu MEEYOO, Thirasak RIRKSOMBOOON

Frontiers of Chemical Science and Engineering 2013, Volume 7, Issue 3,   Pages 289-296 doi: 10.1007/s11705-013-1345-2

Abstract: Methane partial oxidation (MPO) is considered as an alternative method to produce hydrogen because it

Keywords： methane partial oxidation     NiO     ceria-zirconia     MgO     mixed oxide solid solution    

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Enhanced nutrients removal from municipal wastewater through biological phosphorus removal followed by partial

Yandong Yang,Liang Zhang,Hedong Shao,Shujun Zhang,Pengchao Gu,Yongzhen Peng

Frontiers of Environmental Science & Engineering 2017, Volume 11, Issue 2, doi: 10.1007/s11783-017-0911-0

Abstract: this study, a new alternative consisting of enhanced biological phosphorus removal (EBPR) followed by partialDuring the stable period, effluent concentrations of total phosphorus and total nitrogen were 0.25 and

Keywords： Phosphorus removal     Partial nitrification     Anammox     Municipal wastewater    

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Partial liver transplantation

Nianqiao GONG, Xiaoping CHEN

Frontiers of Medicine 2011, Volume 5, Issue 1,   Pages 1-7 doi: 10.1007/s11684-010-0105-7

Abstract:

Partial liver transplantation, including reduced-size liver transplantation, split liver transplantationAt different recipient conditions, auxiliary liver transplantation and auxiliary partial orthotopic liverPartial liver transplantation enriches the practice and knowledge of the transplant society.

Keywords： partial liver transplantation     reduced-size liver transplantation     split liver transplantation     living donor    

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Optimal Su-Do-Ku based interconnection scheme for increased power output from PV array under partial

P. SRINIVASA RAO,P. DINESH,G. SARAVANA ILANGO,C. NAGAMANI

Frontiers in Energy 2015, Volume 9, Issue 2,   Pages 199-210 doi: 10.1007/s11708-015-0350-1

Abstract: Partial shading is a common phenomenon in PV arrays.A Su-Do-Ku configuration can be used to rearrange the physical locations of the PV modules in a total

Keywords： array configuration     mismatch losses     partial shading     line losses     Su-Do-Ku arrangement    

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Simultaneous removal of total oxidizable carbon, phosphate and various metallic ions from HO solution

Frontiers of Chemical Science and Engineering 2023, Volume 17, Issue 4,   Pages 470-482 doi: 10.1007/s11705-022-2231-6

Abstract: Accordingly, the removal efficiency of total oxidizable carbon, phosphate and metallic ions from theThe removal efficiency of 82.7% for total oxidizable carbon, 34.2% for phosphate, 87.1% for Fe3+, 83.2% for Al3+, 55.1% for Ca2+ and 66.6% for Mg2+, with a total

Keywords： adsorption     zirconia     total oxidizable carbon     phosphate     metallic ions     hydrogen peroxide    

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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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Reduction kinetics of SrFeO/CaO∙MnO nanocomposite as effective oxygen carrier for chemical looping partial

Frontiers of Chemical Science and Engineering 2022, Volume 16, Issue 12,   Pages 1726-1734 doi: 10.1007/s11705-022-2188-5

Abstract: During the methane reduction, combustion occurs before the partial oxidation and there exists a transitionThe weight loss associated with the partial oxidation is much larger than that with combustion.The rate of weight loss related to the partial oxidation is well fitted by the Avrami–Erofeyev equationThe rate law for the partial oxidation includes a solid conversion term whose expression is given byThe partial oxidation is half order with respect to methane pressure.

Keywords： chemical looping reforming     SrFeO3−δ/CaO·MnO nanocomposite     reduction kinetics     Avrami–Erofeyev model     pressure-dependent term    

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Tests on impact effect of partial fracture at steel frame connections

CHEN Yiyi, BIAN Ruoning

Frontiers of Structural and Civil Engineering 2008, Volume 2, Issue 4,   Pages 295-301 doi: 10.1007/s11709-008-0049-z

Abstract: also revealed that the instant fracture of structural connection is characterized by progressive and partial

Keywords： structural fracture     natural     fracture     progressive     high-frequency    

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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

The Study of an Improved Algorithm About Hilbert Energy Spectrum

Yang Jianwen,Jia Minping,Xu Feiyun,Hu Jianzhong

Journal Article

Performance enhancement of partially shaded solar PV array using novel shade dispersion technique

Namani RAKESH,T. Venkata MADHAVARAM

Journal Article

Methanation and chemolitrophic nitrogen removal by an anaerobic membrane bioreactor coupled partial nitrification

Journal Article

“Partial pressures” of humid air in wide pressure and temperature ranges

Zidong WANG, Hanping CHEN, Shilie WENG

Journal Article

Study on online monitoring method for flood discharge structure damage based on Hilbert-Huang Transform

Lian Jijian,Li Chengye,Liu Fang,Ma Bin

Journal Article

Upper bound solution to seismic active earth pressure of submerged backfill subjected to partial drainage

Journal Article

Methane partial oxidation over NiO-MgO/Ce

Piyawat PUE-ON, Vissanu MEEYOO, Thirasak RIRKSOMBOOON

Journal Article

Enhanced nutrients removal from municipal wastewater through biological phosphorus removal followed by partial

Yandong Yang,Liang Zhang,Hedong Shao,Shujun Zhang,Pengchao Gu,Yongzhen Peng

Journal Article

Partial liver transplantation

Nianqiao GONG, Xiaoping CHEN

Journal Article

Optimal Su-Do-Ku based interconnection scheme for increased power output from PV array under partial

P. SRINIVASA RAO,P. DINESH,G. SARAVANA ILANGO,C. NAGAMANI

Journal Article

Simultaneous removal of total oxidizable carbon, phosphate and various metallic ions from HO solution

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

Reduction kinetics of SrFeO/CaO∙MnO nanocomposite as effective oxygen carrier for chemical looping partial

Journal Article

Tests on impact effect of partial fracture at steel frame connections

CHEN Yiyi, BIAN Ruoning

Journal Article