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Quantum entangled fractional Fourier transform based on the IWOP technique 被引量:2
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作者 张科 李兰兰 +3 位作者 余盼盼 周莹 郭大伟 范洪义 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期165-170,共6页
In our previous papers,the classical fractional Fourier transform theory was incorporated into the quantum theoretical system using the theoretical method of quantum optics,and the calculation produced quantum mechani... In our previous papers,the classical fractional Fourier transform theory was incorporated into the quantum theoretical system using the theoretical method of quantum optics,and the calculation produced quantum mechanical operators corresponding to the generation of fractional Fourier transform.The core function of the coordinate-momentum exchange operators in the addition law of fractional Fourier transform was analyzed too.In this paper,the bivariate operator Hermite polynomial theory and the technique of integration within an ordered product of operators(IWOP)are used to establish the entanglement fractional Fourier transform theory to the extent of quantum.A new function generating formula and an operator for generating quantum entangled fractional Fourier transform are obtained using the fractional Fourier transform relationship in a pair of conjugated entangled state representations. 展开更多
关键词 fractional Fourier transform coordinate-momentum exchange operators bivariate operator Hermite polynomial theory the technique of integration within an ordered product of operators quantum entangled fractional Fourier transform
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Harmonic balance method with alternating frequency/time domain technique for nonlinear dynamical system with fractional exponential 被引量:10
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作者 张智勇 陈予恕 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第4期423-436,共14页
Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time (HB-AFT) do- main technique has some advantages in dealing with nonlinear ... Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time (HB-AFT) do- main technique has some advantages in dealing with nonlinear problems of fractional exponential models. By the HB-AFT method, a rigid rotor supported by ball bearings with nonlinearity of Hertz contact and ball passage vibrations is considered. With the aid of the Floquet theory, the movement characteristics of interval stability are deeply studied. Besides, a simple strategy to determine the monodromy matrix is proposed for the stability analysis. 展开更多
关键词 fractional exponential nonlinearity harmonic balance method with alter-nating frequency/time (HB-AFT) domain technique global response stability
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Fractional Fourier Transformation for Quantum Mechanical Wave Functions Studied by Virtue of IWOP Technique 被引量:1
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作者 FANHong-YI FANYue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第4期417-420,共4页
Starting from the optical fractional Fourier transform (FFT) and using the technique of integration withinan ordered product of operators we establish a formalism of FFT for quantum mechanical wave functions. In doing... Starting from the optical fractional Fourier transform (FFT) and using the technique of integration withinan ordered product of operators we establish a formalism of FFT for quantum mechanical wave functions. In doing so, theessence of FFT can be seen more clearly, and the FFT of some wave functions can be derived more directly and concisely.We also point out that different FFT integral kernels correspond to different quantum mechanical representations. Theyare generalized FFT. The relationship between the FFT and the rotated Wigner operator is studied by virtue of theWeyl ordered form of the Wigner operator. 展开更多
关键词 fractional Fourier transformation IWOP technique Weyl ordering
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Two-point Dixon and six-point Dixon magnetic resonance techniques in the detection,quantification and grading of hepatic steatosis
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作者 Mohamed Elfaal Alanna Supersad +6 位作者 Craig Ferguson Stephanie Locas Florin Manolea Mitchell P Wilson Medica Sam Wendy Tu Gavin Low 《World Journal of Radiology》 2023年第10期293-303,共11页
BACKGROUND Hepatic steatosis is a very common problem worldwide.AIM To assess the performance of two-and six-point Dixon magnetic resonance(MR)techniques in the detection,quantification and grading of hepatic steatosi... BACKGROUND Hepatic steatosis is a very common problem worldwide.AIM To assess the performance of two-and six-point Dixon magnetic resonance(MR)techniques in the detection,quantification and grading of hepatic steatosis.METHODS A single-center retrospective study was performed in 62 patients with suspected parenchymal liver disease.MR sequences included two-point Dixon,six-point Dixon,MR spectroscopy(MRS)and MR elastography.Fat fraction(FF)estimates on the Dixon techniques were compared to the MRS-proton density FF(PDFF).Statistical tests used included Pearson’s correlation and receiver operating characteristic.RESULTS FF estimates on the Dixon techniques showed excellent correlation(≥0.95)with MRS-PDFF,and excellent accuracy[area under the receiver operating characteristic(AUROC)≥0.95]in:(1)Detecting steatosis;and(2)Grading severe steatosis,(P<0.001).In iron overload,two-point Dixon was not evaluable due to confounding T2*effects.FF estimates on six-point Dixon vs MRS-PDFF showed a moderate correlation(0.82)in iron overload vs an excellent correlation(0.97)without iron overload,(P<0.03).The accuracy of six-point Dixon in grading mild steatosis improved(AUROC:0.59 to 0.99)when iron overload cases were excluded.The excellent correlation(>0.9)between the Dixon techniques vs MRSPDFF did not change in the presence of liver fibrosis(P<0.01).CONCLUSION Dixon techniques performed satisfactorily for the evaluation of hepatic steatosis but with exceptions. 展开更多
关键词 Chemical shift encoded Dixon magnetic resonance techniques Hepatic steatosis Liver fat quantification Magnetic resonance spectroscopy Proton density fat fraction ULTRASOUND
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How Safe Are Reduced Doses per Fraction in Target Volumes of 2<sup>nd</sup>to 4<sup>th</sup>Order in the Simultaneous Integrated Boost Irradiation Technique in Head and Neck Carcinoma Patients?
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作者 A. Buchali C. Schroeder +3 位作者 C. Boerrnert I. Maekelburg W. Huhnt A. Franzen 《Journal of Cancer Therapy》 2015年第2期213-221,共9页
Aim: The simultaneous irradiation of target volumes of different total dose levels using intensity modulated radiotherapy leads to reduced doses per fraction and longer treatment times in target volumes of 2nd?to 4th?... Aim: The simultaneous irradiation of target volumes of different total dose levels using intensity modulated radiotherapy leads to reduced doses per fraction and longer treatment times in target volumes of 2nd?to 4th?order. Does the thereby caused reduced biological effectiveness induce an increased recurrence risk? The current work deals with the problem of recurrences of patients with head and neck carcinomas treated either with an intensitiy (IMRT) or with a volumetric modulated (VMAT) irradiation technique. Methods: From October 2002 to September 2014, 699 patients with carcinomas of the head and neck were irradiated using IMRT or VMAT. The median follow up of the patients was 21.9 months (2 to 145 months). Primary tumor regions (1st?order target volume) of 565 patients were treated with doses per fraction of 2 Gy. Accordingly, further 133 target volumes of the primary tumor received reduced doses per fraction. In 1 patient, the lymphatic drainage was treated solely without irradiation of the primary region. For the lympatic drainage, 854 1st?order target volumes were treated with a dose per fraction of 2 Gy. Reduced doses per fraction were applied to further 1780 target volumes. Results: 54 of 699 patients developed a recurrence in the primary tumor region after radio-(chemo) therapy, 4 patients developed a recurrence of the primary tumor and a unilateral recurrence of the lymphatic drainage, 2 patients a recurrence of the primary tumor and a bilateral lymph node recurrence. 18 patients showed an isolated unilateral recurrence and additionally 2 patients a bilateral recurrence of the lymphatic drainage. 619 patients stayed recurrence free. In primary tumor regions, receiving a dose per fraction of 2 Gy 55 patients (9.7%) developed a recurrence, whereas in target volumes receiving a reduced dose per fraction 5 patients (3.8%) developed a recurrence (p < 0.001). In lympatic drainage target volumes receiving a dose per fraction of 2 Gy, 25 target volumes (2.9%) developed a recurrence, whereas in target volumes receiving a reduced dose per fraction, 5 patients (0.3%) developed a recurrence (p = 0.001). Conclusion: The recurrence risk in target volumes of 2nd?to 4th?order was not increased due to reduced doses per fraction deposited by means of a simultaneous integrated boost technique. Therefore, the simultaneous irradiation of target volumes with different dose levels is safely applicable within one treatment plan. 展开更多
关键词 Head and NECK Carcinoma Simultaneous Integrated Boost technique DOSE Painting DOSE PER fraction Recurrence Risk
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Non-enzymatic methods for isolation of stromal vascular fraction and adipose-derived stem cells:A systematic review
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作者 Vamsi Krishna Mundluru MJ Naidu +4 位作者 Ravi Teja Mundluru Naveen Jeyaraman Sathish Muthu Swaminathan Ramasubramanian Madhan Jeyaraman 《World Journal of Methodology》 2024年第2期134-144,共11页
BACKGROUND Adipose-derived stem cells(ADSCs)and the stromal vascular fraction(SVF)have garnered substantial interest in regenerative medicine due to their potential to treat a wide range of conditions.Traditional enzy... BACKGROUND Adipose-derived stem cells(ADSCs)and the stromal vascular fraction(SVF)have garnered substantial interest in regenerative medicine due to their potential to treat a wide range of conditions.Traditional enzymatic methods for isolating these cells face challenges such as high costs,lengthy processing time,and regulatory complexities.AIM This systematic review aimed to assess the efficacy and practicality of nonenzymatic,mechanical methods for isolating SVF and ADSCs,comparing these to conventional enzymatic approaches.METHODS Following the Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines,a comprehensive literature search was conducted across multiple databases.Studies were selected based on inclusion criteria focused on non-enzymatic isolation methods for SVF and ADSCs from adipose tissue.The risk of bias was assessed,and a qualitative synthesis of findings was performed due to the methodological heterogeneity of the included studies.RESULTS Nineteen studies met the inclusion criteria,highlighting various mechanical techniques such as centrifugation,vortexing,and ultrasonic cavitation.The review identified significant variability in cell yield and viability,and the integrity of isolated cells across different non-enzymatic methods compared to enzymatic procedures.Despite some advantages of mechanical methods,including reduced processing time and avoidance of enzymatic reagents,the evidence suggests a need for optimization to match the cell quality and therapeutic efficacy achievable with enzymatic isolation.CONCLUSION Non-enzymatic,mechanical methods offer a promising alternative to enzymatic isolation of SVF and ADSCs,potentially simplifying the isolation process and reducing regulatory hurdles.However,further research is necessary to standardize these techniques and ensure consistent,high-quality cell yields for clinical applications.The development of efficient,safe,and reproducible non-enzymatic isolation methods could significantly advance the field of regenerative medicine. 展开更多
关键词 Adipose-derived stem cells Stromal vascular fraction Regenerative medicine Non-enzymatic isolation Mechanical separation techniques
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Mixed Monotone Iterative Technique for Singular Hadamard Fractional Integro-Differential Equations in Banach Spaces
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作者 Xinwei Su Shuqin Zhang Yu Hui 《Journal of Applied Mathematics and Physics》 2022年第12期3843-3863,共21页
This paper deals with fractional integro-differential equations involving Hadamard fractional derivatives and nonlinear boundary conditions in an ordered Banach space. The nonlinearity is allowed to be singular with r... This paper deals with fractional integro-differential equations involving Hadamard fractional derivatives and nonlinear boundary conditions in an ordered Banach space. The nonlinearity is allowed to be singular with respect to time variable. Under some monotonicity conditions and noncompactness measure conditions, we use the method of coupled lower and upper L-quasisolutions associated with the mixed monotone iterative technique to investigate the existence of extremal L-quasisolutions. A unique solution between coupled lower and upper L-quasisolutions is also obtained. An example is given to illustrate our theoretical results. The results got in this paper are new and enrich the existing related work. 展开更多
关键词 Hadamard fractional Derivative Nonlinear Boundary Condition Monotone Iterative technique Noncompactness Measure
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超声心动图第一期相射血分数早期评估左室收缩功能障碍的研究进展
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作者 叶青 苏中振 《中山大学学报(医学科学版)》 CAS CSCD 北大核心 2024年第3期377-382,共6页
第一期相射血分数(EF1)是指从左室舒张末期至主动脉血流速度达到峰值的左室容积变化百分比,本文综述了EF1在早期检测主动脉瓣狭窄、稳定性冠状动脉疾病、新型冠状病毒肺炎等患者左室收缩功能障碍的研究进展,分析其在临床应用中的优势与... 第一期相射血分数(EF1)是指从左室舒张末期至主动脉血流速度达到峰值的左室容积变化百分比,本文综述了EF1在早期检测主动脉瓣狭窄、稳定性冠状动脉疾病、新型冠状病毒肺炎等患者左室收缩功能障碍的研究进展,分析其在临床应用中的优势与局限性,并对其未来发展提出展望,即EF1作为一个反映早期左室收缩功能障碍的新指标,具备临床推广应用的可能。 展开更多
关键词 第一期相射血分数 射血分数 超声心动图 左室收缩功能障碍 斑点追踪技术
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基于光子自旋霍尔效应的甲烷检测理论研究
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作者 侯自如 王哲飞 武永 《激光技术》 CAS CSCD 北大核心 2024年第3期345-351,共7页
为了实现对甲烷体积分数的高精度检测,采用多层结构激发了具有高品质因素的光子自旋霍尔效应现象。利用非对称的排列方式,将甲烷敏感膜引入结构中,通过敏感膜的折射率变化,实现对甲烷体积分数的检测;研究了气体孔隙率、周期数、金属厚... 为了实现对甲烷体积分数的高精度检测,采用多层结构激发了具有高品质因素的光子自旋霍尔效应现象。利用非对称的排列方式,将甲烷敏感膜引入结构中,通过敏感膜的折射率变化,实现对甲烷体积分数的检测;研究了气体孔隙率、周期数、金属厚度和敏感膜厚度对光子自旋霍尔效应的影响,并采用传输矩阵法进行了数值分析。结果表明,该传感器可对体积分数为0~3%、折射率变化为1.4364~1.4478的甲烷气体进行检测,灵敏度为29.6°,最高质量因素和最低检测下限分别为395和0.00012。该传感器结构简单、检测能力强,为光学传感器的研究提供了新思路。 展开更多
关键词 传感器技术 甲烷体积分数 甲烷敏感膜 非互易 光子自旋霍尔效应
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某废弃冶炼场地土壤不同粒径组分重金属的特征及其对修复策略的启示
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作者 赵鹏 Muhammad ADNAN +4 位作者 肖佩文 杨雪枫 王海燕 肖保华 薛生国 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第4期1076-1091,共16页
颗粒粒径组分对土壤重金属的分布与赋存具有重要影响,而当前对受冶炼活动影响的不同区域间土壤各粒径组分重金属分布的比较研究较少。本研究以某废弃铅冶炼场地为研究对象,选取三个土壤剖面(冶炼固废堆存区、交通区和邻近的农田),对比... 颗粒粒径组分对土壤重金属的分布与赋存具有重要影响,而当前对受冶炼活动影响的不同区域间土壤各粒径组分重金属分布的比较研究较少。本研究以某废弃铅冶炼场地为研究对象,选取三个土壤剖面(冶炼固废堆存区、交通区和邻近的农田),对比研究了不同土壤颗粒粒径组分(>150、45~150和<45μm)中重金属的地球化学分布特征及赋存形态。结果显示,冶炼场地与周边农田土壤各粒径组分重金属的分布特征具有明显差异。随着粒径的增大,冶炼固废堆存区土壤重金属的富集因子从0.78增至1.14,这与该区粗粒废渣的堆放与机械混合相关;而农田土壤重金属的富集因子从1.49降至0.60,这与冶炼过程释放富集重金属的细颗粒沉降有关。同时,冶炼场地土壤的较粗组分(>45μm)具有较高的重金属质量负载量(>50%),且废渣颗粒对土壤重金属的贡献显著,故物理分离技术可用于该场地的土壤污染修复。此外,石膏和莫来石可能是该场地受冶炼活动影响土壤的指示矿物。本研究将冶炼活动影响与土壤不同粒径组分重金属的赋存形态相关联,对修复策略具有一定的指导意义。 展开更多
关键词 废弃铅冶炼场地 土壤 重金属 颗粒粒径组分 地球化学形态 废渣 物理分离技术
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二氧化碳点阵技术联合A型肉毒毒素在剖宫产术后疤痕修复中的应用
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作者 邱露 苏勋 邹亭亭 《四川生理科学杂志》 2024年第7期1458-1460,1503,共4页
目的:探究二氧化碳点阵技术联合A型肉毒毒素在剖宫产术后疤痕修复中的应用。方法:选取2023年1月至2023年10月我院收治的186例剖宫产术后瘢痕患者作为研究对象,按治疗方法分成对照组和研究组,各93例。其中对照组患者采用二氧化碳点阵技... 目的:探究二氧化碳点阵技术联合A型肉毒毒素在剖宫产术后疤痕修复中的应用。方法:选取2023年1月至2023年10月我院收治的186例剖宫产术后瘢痕患者作为研究对象,按治疗方法分成对照组和研究组,各93例。其中对照组患者采用二氧化碳点阵技术治疗,研究组患者在对照组基础上联合A型肉毒毒素治疗,治疗时长均为9 m。采用临床观察及问卷调查的方式,测定并比较两组临床疗效、疤痕修复[温哥华瘢痕量表(Vancouver Scar Scale,VSS)]、不良反应发生率和患者满意度的差异。结果:治疗后,研究组的总有效率明显高于对照组(P<0.05);两组患者的疤痕修复VSS评分明显下降,且研究组低于对照组(P<0.05);研究组的不良反应发生率明显低于对照组(P<0.05)而总满意率高于对照组(P<0.05)。结论:针对剖宫产术后瘢痕患者,联合使用二氧化碳点阵技术与A型肉毒毒素具有显著的临床疗效和安全性。 展开更多
关键词 二氧化碳点阵技术 A型肉毒毒素 剖宫产 疤痕修复
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Distribution and Transformation of Native and Added Ni Fractions in Purple Soils from Sichuan Province 被引量:6
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作者 TU CONG(College of Resources and Environment,Southwest Agricultural University,Chonyqiny 630716 China) 《Pedosphere》 SCIE CAS CSCD 1996年第2期183-192,共10页
The distribution and transformation of added and native Ni in purple soils were investigated with both sequential extraction procedure and isotopic tracer technique.The distribution of added and native Ni was greatly ... The distribution and transformation of added and native Ni in purple soils were investigated with both sequential extraction procedure and isotopic tracer technique.The distribution of added and native Ni was greatly dependent on soil properties.Low soil PH was favorable for soluble plus exchangeable (EX) Fraction,while Fe/Mn oxides and clay for Fe/Mn oxide bound (OX) and residual (RES) fractions. The added Ni,however,has not yet reached the distribution equilibrium up to the 150th day after incubation.This was reflected in the fact that the proportion of EX fraction from added Ni was 150%-600% as much as that of native Ni, while that of RES fraction was only about 80%.Once entering soil, the applied soluble Ni was rapidly transformed into Other fractions, but the organic complexed (OM) fraction of added Ni was relatively stable during incubation.The carbonate bound(CAB) fraction showed a progressive increase and attained a peak value after 0-14 d of incubation and thereafter decreased gradually. The occurrence time of this peak advanced as initial soil PH increased, but the peak would disappear when initial soil pH was higher than 7.5(or containing free CaCO3). The transformation processes of the EX,OX and RES fractions could be described by Elovich and two-constant rate equstions,and the rates were positively correlated with soil pH,CEC and clay.These findings could explain why there are differences in ecological and environmental effects of Ni in different soils and at various intervals. 展开更多
关键词 DISTRIBUTION Ni fraction purple soil tracer technique TRANSFORMATION
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Soil phosphorus bioavailability assessed by XANES and Hedley sequential fractionation technique in a glacier foreland chronosequence in Gongga Mountain, Southwestern China 被引量:7
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作者 WU YanHong Jrg PRIETZEL +6 位作者 ZHOU Jun BING HaiJian LUO Ji YU Dong SUN ShouQin LIANG JianHong SUN HongYang 《Science China Earth Sciences》 SCIE EI CAS 2014年第8期1860-1868,共9页
The primary productivity of terrestrial ecosystems is influenced by soil phosphorus bioavailability, which depends largely on chemical fractions of phosphorus. The sequential fractionation technique developed by Hedle... The primary productivity of terrestrial ecosystems is influenced by soil phosphorus bioavailability, which depends largely on chemical fractions of phosphorus. The sequential fractionation technique developed by Hedley et al. or its subsequent modification is a well-known method to determine soil phosphorus forms. Hedley sequential fractionation technique separates the phosphorus into fractions based on their different chemical solubilities in extractants with certain chemical properties. Recently, synchrotron-based X-ray absorption near edge structure(XANES) spectroscopy has been employed to measure soil phosphorus species directly and non-invasively. The XANES method provides information concerning local structure and chemical information of target elements at a molecular level. Thus, it can distinguish phosphorus fractions bound by metal oxides or hydroxides(such as Fe, Al, and Ca). In this present work, the phosphorus speciation of topsoil along a glacial foreland chronosequence in Gongga Mountain is determined using these two methods. The changes in soil phosphorus bioavailability along the 120-year-old chronosequence are assessed based on comparisons of the results obtained by these two methods. The results indicate that Hedley sequential fractionation technique shows a greater ability to determine soil bioavailable phosphorus(Resin-P and NaCHO3-P), while XANES is effective in distinguishing phosphorus bound by metal compounds. In the chronosequence, Ca- and Al-bound phosphorus were derived mainly from primary minerals, whose phosphorus contents decreased within 120 years of moraine weathering and soil development. The content of soil bioavailable phosphorus increased rapidly after 30 years since deglaciation. The increasing phosphorus bioavailability promoted the colonizing and primary succession vegetation. 展开更多
关键词 soil phosphorus forms Hedley sequential fractionation technique XANES Hailuogou
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Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel 被引量:1
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作者 吕翠红 范洪义 姜年权 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第12期43-50,共8页
We newly construct two mutually-conjugate tripartite entangled state representations, based on which we propose the formulation of three-mode entangled fractional Fourier transformation (EFFT) and derive the transfo... We newly construct two mutually-conjugate tripartite entangled state representations, based on which we propose the formulation of three-mode entangled fractional Fourier transformation (EFFT) and derive the transformation kernel. The EFFT's additivity property is proved and the eigenmode of EFFT is derived. As an application, we calculate the EFFT of the three-mode squeezed vacuum state. 展开更多
关键词 tripartite entangled state three-mode entangled fractional Fourier transformation the technique of integral within an ordered product of operators
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Design of Smith Predictor Based Fractional Controller for Higher Order Time Delay Process 被引量:1
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作者 P.R.Hemavathy Y.Mohamed Shuaib S.K.Lakshmanaprabu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2019年第6期481-498,共18页
Normally all real world process in a process industry will have time delay.For those processes with time delays,obtaining satisfactory closed loop performances becomes very difficult.In this work,three interacting cyl... Normally all real world process in a process industry will have time delay.For those processes with time delays,obtaining satisfactory closed loop performances becomes very difficult.In this work,three interacting cylindrical tank process is considered for study and the objective of the work is to compensate for time delays using smith predictor structure and to maintain the level in the third tank.Input/Output data is generated for the three interacting tank process.It is approximated as Integer First Order Plus Dead Time system(IFOPDT)and Fractional First Order Plus Dead Time system(FFOPDT).Smith predictor based fractional order Proportional Integral controller and Integer order Proportional Integral controller is designed for the IFOPDT and FFOPDT model using frequency response technique and their closed loop performance indices are compared and tabulated.The servo and regulatory responses are simulated using Matlab/Simulink. 展开更多
关键词 fractionAL order proportional integral CONTROLLER frequency response technique SMITH PREDICTOR three INTERACTING tank process
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Continued Fraction Evaluation of the Universal Y’s Functions 被引量:1
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作者 Mohammed Adel Sharaf Abdel-naby Saad Saad Nihad Saad Abd El Motelp 《International Journal of Astronomy and Astrophysics》 2015年第1期15-19,共5页
In the present paper, an efficient algorithm based on the continued fractions theory was established for the universal Y’s functions of space dynamics. The algorithm is valid for any conic motion (elliptic, parabolic... In the present paper, an efficient algorithm based on the continued fractions theory was established for the universal Y’s functions of space dynamics. The algorithm is valid for any conic motion (elliptic, parabolic or hyperbolic). 展开更多
关键词 UNIVERSAL KEPLER EQUATION Continued fraction technique Y-Universal Function
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An Orthogonal Wavelet Transform Fractionally Spaced Blind Equalization Algorithm Based on the Optimization of Genetic Algorithm
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作者 廖娟 郭业才 季童莹 《Defence Technology(防务技术)》 SCIE EI CAS 2011年第2期65-71,共7页
An orthogonal wavelet transform fractionally spaced blind equalization algorithm based on the optimization of genetic algorithm(WTFSE-GA) is proposed in viewof the lowconvergence rate,large steady-state mean square er... An orthogonal wavelet transform fractionally spaced blind equalization algorithm based on the optimization of genetic algorithm(WTFSE-GA) is proposed in viewof the lowconvergence rate,large steady-state mean square error and local convergence of traditional constant modulus blind equalization algorithm(CMA).The proposed algorithm can reduce the signal autocorrelation through the orthogonal wavelet transform of input signal of fractionally spaced blind equalizer,and decrease the possibility of CMA local convergence by using the global random search characteristics of genetic algorithm to optimize the equalizer weight vector.The proposed algorithm has the faster convergence rate and smaller mean square error compared with FSE and WT-FSE.The efficiency of the proposed algorithm is proved by computer simulation of underwater acoustic channels. 展开更多
关键词 information processing technique genetic algorithm orthogonal wavelet transform fractionally spaced equalizer blind equalization underwater acoustic channel
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Optical wavelet-fractional squeezing combinatorial transform
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作者 Cui-Hong Lv Ying Cai +1 位作者 Nan Jin Nan Huang 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第2期209-216,共8页
By virtue of the method of integration within ordered product(IWOP)of operators we find the normally ordered form of the optical wavelet-fractional squeezing combinatorial transform(WFrST)operator.The way we successfu... By virtue of the method of integration within ordered product(IWOP)of operators we find the normally ordered form of the optical wavelet-fractional squeezing combinatorial transform(WFrST)operator.The way we successfully combine them to realize the integration transform kernel of WFr ST is making full use of the completeness relation of Dirac’s ket–bra representation.The WFr ST can play role in analyzing and recognizing quantum states,for instance,we apply this new transform to identify the vacuum state,the single-particle state,and their superposition state. 展开更多
关键词 wavelet transform fractional squeezing transform combinatorial transform IWOP technique
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A Finite Volume Unstructured Mesh Method for Fractional-in-space Allen-Cahn Equation 被引量:1
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作者 CHEN Ai-min LIU Fa-wang 《Chinese Quarterly Journal of Mathematics》 2017年第4期345-354,共10页
Fractional-in-space Allen-Cahn equation containing a very strong nonlinear source term and small perturbation shows metastability and a quartic double well potential.Using a finite volume unstructured triangular mesh ... Fractional-in-space Allen-Cahn equation containing a very strong nonlinear source term and small perturbation shows metastability and a quartic double well potential.Using a finite volume unstructured triangular mesh method, the present paper solves the twodimensional fractional-in-space Allen-Cahn equation with homogeneous Neumann boundary condition on different irregular domains. The efficiency of the method is presented through numerical computation of the two-dimensional fractional-in-space Allen-Cahn equation on different domains. 展开更多
关键词 fractional-in-space Allen-Cahn equation finite volume METHOD matrix transfertechnique preconditioned LANCZOS METHOD
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Quantum Optical Squeezing Transform for Generalizing Fractional Fourier Transform
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作者 HU Li-Yun FAN Hong-Yi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期951-954,共4页
By establishing the relation between the optical scaled fractional Fourier transform (FFT) and quantum mechanical squeezing-rotating operator transform, we employ the bipartite entangled state representation of two-... By establishing the relation between the optical scaled fractional Fourier transform (FFT) and quantum mechanical squeezing-rotating operator transform, we employ the bipartite entangled state representation of two-mode squeezing operator to extend the scaled FFT to more general cases, such as scaled complex FFT and entangled scaled FFT. The additiyity and eigenmodes are presented in quantum version. The relation between the scaled FFT and squeezing-rotating Wigner operator is studied. 展开更多
关键词 squeezing transform scaled fractional Fourier transform IOWP technique
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