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Generalized constrained multiobjective games in locally FC-uniform spaces 被引量:1
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作者 丁协平 黎进三 姚任之 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第3期301-309,共9页
A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff funct... A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of weak Paxeto equilibria for the generalized constrained multiobjective games are established in locally FC-uniform spaces. These theorems improve, unify and generalize the corresponding results in recent literatures. 展开更多
关键词 locally FC-uniform space fixed point generalized constrained multiobjective game weak Pareto equilibria
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EQUILIBRIUM EXISTENCE FOR MULTI-LEADER-FOLLOWER GENERALIZED CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY FC-UNIFORM SPACES 被引量:1
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作者 丁协平 《Acta Mathematica Scientia》 SCIE CSCD 2015年第2期339-347,共9页
In this article, we introduce and study some new classes of multi-leader-follower generalized constrained multiobjective games in locally FC-uniform spaces where the number of leaders and followers may be finite or in... In this article, we introduce and study some new classes of multi-leader-follower generalized constrained multiobjective games in locally FC-uniform spaces where the number of leaders and followers may be finite or infinite and the objective functions of the followers obtain their values in infinite-dimensional spaces. Each leader has a constrained correspondence. By using a collective fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of equilibrium points for the multi-leader-follower generalized constrained multiobjective games are established under nonconvex settings. These results generalize some corresponding results in recent literature. 展开更多
关键词 Multi-leader-follower generalized constrained multiobjective games collective fixed point theorem locally FC-uniform space
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Maximal elements and generalized games involving condensing mappings in locally FC-uniform spaces and applications(Ⅰ)
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第12期1561-1568,共8页
First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of... First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper. 展开更多
关键词 condensing set-valued mapping maximal element generalized game equi-librium locally FC-uniform spaces
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Systems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally FC-uniform spaces
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第3期263-274,共12页
In this paper, we introduce some new systems of generalized vector quasi-variational inclusion problems and system of generalized vector ideal (resp., proper, Pareto, weak) quasi-optimization problems in locally FC-... In this paper, we introduce some new systems of generalized vector quasi-variational inclusion problems and system of generalized vector ideal (resp., proper, Pareto, weak) quasi-optimization problems in locally FC-uniform spaces without convexity structure. By using the KKM type theorem and Himmelberg type fixed point theorem proposed by the author, some new existence theorems of solutions for the systems of generalized vector quasi-variational inclusion problems are proved. As to its applications, we obtain some existence results of solutions for systems of generalized vector quasi-optimization problems. 展开更多
关键词 KKM type theorem Himmelberg type fixed point theorem system of generalized vector quasi-variational inclusions system of generalized vector optimization problems locally FC-uniform space
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More Properties of Semi-Linear Uniform Spaces
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作者 S. A. Alhihi 《Applied Mathematics》 2015年第6期1069-1075,共7页
In this paper we shall generalize the definition given in [1] for Lipschitz condition and contractions for functions on a non-metrizable space, besides we shall give more properties of semi-linear uniform spaces.
关键词 LIPSCHITZ Condition CONTRACTIONS Not METRIZABLE spaceS SEMI-LINEAR spaceS uniform spaceS Fixed Point
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P-Distances, Q-Distances and a Generalized Ekeland's Variational Principle in Uniform Spaces 被引量:8
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作者 Jing Hui QIU Fei HE 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第2期235-254,共20页
In this paper, we attempt to give a unified approach to the existing several versions of Ekeland's variational principle. In the framework of uniiorm spaces, we introduce p-distances and more generally, q-distances.... In this paper, we attempt to give a unified approach to the existing several versions of Ekeland's variational principle. In the framework of uniiorm spaces, we introduce p-distances and more generally, q-distances. Then we introduce a new type of completeness for uniform spaces, i.e., sequential completeness with respect to a q-distance (particularly, a p-distance), which is a very extensive concept of completeness. By using q-distances and the new type of completeness, we prove a generalized Takahashi's nonconvex minimization theorem, a generalized Ekeland's variational principle and a generalized Caristi's fixed point theorem. Moreover, we show that the above three theorems are equivalent to each other. From the generalized Ekeland's variational principle, we deduce a number of particular versions of Ekeland's principle, which include many known versions of the principle and their improvements. 展开更多
关键词 Ekeland's variational principle Takahashi's nonconvex minimization theorem Caristi'sfixed point theorem uniform space locally convex space p-distance q-distance
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Polarization visualization for low-irradiance regions by perceptually uniform color space 被引量:1
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作者 Feng Zhao Yue Dong Jian-lei 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第2期505-511,共7页
Currently,polarization visualization strategies are accomplished by mapping polarization information into a perceptually uniform color appearance model CAM02-UCS.However,the deviation of the CAM02-UCS space from the l... Currently,polarization visualization strategies are accomplished by mapping polarization information into a perceptually uniform color appearance model CAM02-UCS.However,the deviation of the CAM02-UCS space from the lightness prediction results in an inaccurate match between the polarization information and the perceptual information.In this paper,we propose a novel polarization visualization strategy based on the perceptual uniform space Jzazbz.The polarization visualization be completed by placing the polarization information into the lightness Jz,colorfulness Cz and hue angle hz channels of the Jzazbz space.The experimental results show that the proposed method can significantly improve the lightness of the low irradiance and high polarization region,hence more polarization information can be sensed by human visual system. 展开更多
关键词 Polarization visualization Perceptually uniform space Lightness prediction Low irradiance
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Topological Stability and Pseudo-orbit Tracing Property for Homeomorphisms on Uniform Spaces
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作者 Ke Song YAN Fan Ping ZENG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2022年第2期431-442,共12页
In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for homeomorphisms on compact uniform spa... In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for homeomorphisms on compact uniform spaces and prove that if a homeomorphism on a compact uniform space is expansive and has pseudo-orbit tracing property,then it is topologically stable.Moreover,we discuss the topological stability for homeomorphisms on uniform spaces from the view of localization.We introduce definitions of topologically stable point and shadowable point for homeomorphisms on uniform spaces and show that every shadowable point of an expansive homeomorphism on a compact uniform space is topologically stable. 展开更多
关键词 Topological stability pseudo-orbit tracing property EXPANSIVENESS uniform space
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MODE SPACE SMOOTHING ALGORITHM TO ESTIMATE DOA OF COHERENT SIGNALS IMPINGING ON UNIFORM CIRCULAR ARRAY 被引量:1
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作者 Ma Changlin Peng Yingning Tian Lisheng Liu Jianhua(Department of Electronic Engineering, Tsinghua University, Beijing 100084) 《Journal of Electronics(China)》 1998年第4期289-295,共7页
A novel method to estimate DOA of coherent signals impinging on a uniform circular array( UCA) is presented in this paper. A virtual uniform linear array (VULA) is first derived by using spatial DFT technique, transfo... A novel method to estimate DOA of coherent signals impinging on a uniform circular array( UCA) is presented in this paper. A virtual uniform linear array (VULA) is first derived by using spatial DFT technique, transforming the UCA from element space to phase mode space to obtain the properties of ordinary ULA, and then the well known spatial smoothing technique is applied to the VULA so that the lost rank of covariance matrix due to signal coherence can be retrieved. This method makes it feasible to use the simple MUSIC algorithm to estimate DOA of coherent signals impinging on a UCA without heavy computation burden. Simulation results strongly verify the effectiveness of the algorithm. 展开更多
关键词 MODE space Virtual uniform linear array Spatial SMOOTHING
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ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES
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作者 HUANG Zhen-yu(黄震宇) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第11期1306-1310,共5页
Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T: K --> K is a continuous Phi-strongly pseudocontractive operator with a bounded range. Using a new analytical meth... Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T: K --> K is a continuous Phi-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {x(n)} converges strongly to the unique fixed point x* of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results. 展开更多
关键词 Ishikawa iterative process Phi-stongly pseudocontractive operators uniformly smooth Banach spaces
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A RANDOM FIXED POINT ITERATION FOR THREE RANDOM OPERATORS ON UNIFORMLY CONVEX BANACH SPACES
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作者 Binayak S.Choudhury 《Analysis in Theory and Applications》 2003年第2期99-107,共9页
In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of thre... In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extension of a known theorem in the corresponding non-random case. 展开更多
关键词 random iteration fixed point uniformly convex Banach space
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A New System of Generalized Variational Inclusions Involving H-η-monotone Operators in Uniformly Smooth Banach Spaces
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作者 FENG SHI-QIANG GAO DA-PENG 《Communications in Mathematical Research》 CSCD 2012年第4期324-336,共13页
In this paper, we introduce and study a new system of generalized vari- ational inclusions involving H-η-monotone operators in uniformly smooth Banach spaces. Using the resolvent operator technique associated with H-... In this paper, we introduce and study a new system of generalized vari- ational inclusions involving H-η-monotone operators in uniformly smooth Banach spaces. Using the resolvent operator technique associated with H-η-monotone opera- tors, we prove the approximation solvability of solutions using an iterative algorithm. The results in this paper extend and improve some known results from the literature. 展开更多
关键词 uniformly smooth Banach space H-η-monotone operator resolventoperator technique system of generalized variational inclusion iterative algorithm
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Uniformity Structures on L-Fuzzy Spaces
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作者 K.A.Dib O.A.Tantawy +1 位作者 A.E.Shlaan G.A.Kamel 《模糊系统与数学》 CSCD 北大核心 2009年第4期131-143,共13页
We extend the notion of a uniform space in a natural way by defining a uniform spaces in L-fuzzy spaces.Although these spaces seem quite similar to ordinary case,we show that the category of this uniform spaces is a g... We extend the notion of a uniform space in a natural way by defining a uniform spaces in L-fuzzy spaces.Although these spaces seem quite similar to ordinary case,we show that the category of this uniform spaces is a good extension of the category of ordinary uniform spaces and the category of L-uniform spaces.Moreover,we introduce the concept of uniform topological spaces in the framework of uniform spaces in L-fuzzy spaces.Furthermore,the relation between proximity and uniform spaces in L-fuzzy spaces will be established. 展开更多
关键词 模糊数学 模糊系统 模糊集 理论
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Study on effect of heat transfer space non-uniformity of combustion chamber components on in-cylinder NOx emission formation in internal combustion engine
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作者 吕继祖 白敏丽 周龙 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2011年第4期56-62,共7页
The components of combustion chamber (cylinder head-cylinder liner-piston assembly-oil film) were taken as a coupled body.Based on the three-dimensional heat transfer numerical simulation of the coupled body,a coupled... The components of combustion chamber (cylinder head-cylinder liner-piston assembly-oil film) were taken as a coupled body.Based on the three-dimensional heat transfer numerical simulation of the coupled body,a coupled three-dimensional calculation model for in-cylinder working process and the combustion chamber components was built with domain decomposition and boundary coupled method,which implements the coupled three-dimensional simulation of in-cylinder working process and the combustion chamber components.The model was applied in the influence investigation of the space non-uniformity in heat transfer among combustion chamber components on the generation of in-cylinder emissions:NOx.The results showed that the heat transfer space non-uniformity of combustion chamber components directly influences the formation of in-cylinder NOx.The main area being influenced was the accessory area on the wall,while the influence on the generation of NOx in the central area couold be omitted. 展开更多
关键词 Heat transfer space non-uniformity NOx emission IN-CYLINDER DIESEL
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The Existence of Solutions of a Space-Uniform Boltzmann Equation
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作者 Zhihui Ye Rulv Li 《Journal of Applied Mathematics and Physics》 2020年第2期294-300,共7页
Boltzmann equation is an equation which is related to the three variables of x, v, t. In this paper, we mainly study the space-uniform Boltzmann equation which unknown function F is not related to the position variabl... Boltzmann equation is an equation which is related to the three variables of x, v, t. In this paper, we mainly study the space-uniform Boltzmann equation which unknown function F is not related to the position variable x. We mainly use the contraction mapping theorem to find the existence of the solution, so our mainly work is to prove the self-mapping, i.e. to prove its uniformly bounded, and then to prove the contraction mapping. There we can get the range of ||B(θ)||L1(L∞), next we can figure out the range of M and T from the conditions what we know. Finally, from these conditions, we can find the existence of the solution. 展开更多
关键词 space-uniform BOLTZMANN Equations SELF-MAPPING Contractive Mapping uniformLY BOUNDED The Existence of the Solution
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Time-and-space resolved measurements of the emission uniformity of carbon fibre cathode in high-current pulsed discharge
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作者 刘列 李立民 +2 位作者 徐启福 程国新 苌磊 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第3期251-257,共7页
The remaining challenges, confronting high-power microwave (HPM) sources and pulsed power generators, stim- ulate the developments of robust relativistic electron beam sources. This paper presents a carbon fibre cat... The remaining challenges, confronting high-power microwave (HPM) sources and pulsed power generators, stim- ulate the developments of robust relativistic electron beam sources. This paper presents a carbon fibre cathode which is tested in a single pulsed power generator. The distribution and the development of cathode plasma are observed by time-and-space resolved diagnostics, and the uniformity of electron beam density is checked by taking x-ray images. A quasistationary behaviour of cathode plasma expansion is observed. It is found that the uniformity of the extracted electron beam is satisfactory in spite of individual plasma jets on the cathode surface. These results show that carbon fibre cathodes can provide a positive prospect for developing a high-quality electron beam. 展开更多
关键词 cold cathode emission uniformity x rays time-and-space resolved measurement
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基于改进目标场法梯度线圈的感应式磁声磁粒子浓度成像研究
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作者 闫孝姮 淡新贤 +1 位作者 陈伟华 刘方田 《电工技术学报》 EI CSCD 北大核心 2024年第14期4305-4316,共12页
感应式磁声磁粒子浓度成像(MACT-MI)是一种基于磁声耦合效应的磁性纳米粒子(MNPs)浓度成像新方法。由于其磁声信号的信噪比低,导致系统成像质量不佳,该文提出一种改善MACT-MI信噪比的新思路:首先,基于经典目标场法(TFM)设计梯度线圈的思... 感应式磁声磁粒子浓度成像(MACT-MI)是一种基于磁声耦合效应的磁性纳米粒子(MNPs)浓度成像新方法。由于其磁声信号的信噪比低,导致系统成像质量不佳,该文提出一种改善MACT-MI信噪比的新思路:首先,基于经典目标场法(TFM)设计梯度线圈的思路,将最小化磁场相对误差定义为适应度函数,并采用鲸鱼优化算法对电流密度系数进行优化,设计了一种结构灵活、激励简单的高质量梯度磁场线圈;其次,为研究梯度磁场空间分布特征对MACT-MI的影响,该文构建不同的MNPs分布模型,并利用多物理场仿真软件COMSOL对MACT-MI的物理过程进行数值求解,得到成像区域的磁力和声压分布。仿真结果表明,磁力和声压的有效波动范围与梯度磁场均匀空间的大小成正比,且随着均匀空间的缩小,磁力和声压的峰值也随之衰减,通过提高磁场的均匀度可以有效提高磁声信号的信噪比,改善系统成像质量。研究结果可为成像装备的设计以及MACT-MI的后续实验应用提供研究基础。 展开更多
关键词 磁声磁粒子浓度成像 目标场法 梯度磁场 均匀空间
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弥散燃料芯块中核芯颗粒位置信息的CT检测方法
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作者 张小刚 俞东宝 +1 位作者 申俊华 季婧 《无损检测》 CAS 2024年第1期61-67,共7页
在弥散燃料芯块中,核芯颗粒随机分布在其非金属材料处。采用表征核芯颗粒位置信息的方法评估产品工艺质量,具有重要意义。采用三维CT图像法,通过VG软件拟合芯块的外轮廓,以此来获得芯块的三维坐标,并将核芯颗粒视为夹杂,从而在获得每个... 在弥散燃料芯块中,核芯颗粒随机分布在其非金属材料处。采用表征核芯颗粒位置信息的方法评估产品工艺质量,具有重要意义。采用三维CT图像法,通过VG软件拟合芯块的外轮廓,以此来获得芯块的三维坐标,并将核芯颗粒视为夹杂,从而在获得每个核芯颗粒中心坐标的基础上,自动计算出其与相邻核芯颗粒的间距;然后采用微焦CT对弥散燃料芯块进行检测和处理,并采用统计热图方式,直观表征燃料芯块中核芯颗粒的分布均匀性;最后进行了实际燃料芯块相邻核芯颗粒间距的自动测量,验证了该方法的可行性,为进一步开展核芯颗粒分布状况的表征工作奠定了基础。 展开更多
关键词 核芯颗粒 CT检测 三维分割 间距自动测量 分布均匀性
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基于EDEM仿真玉米高位投种结构参数分析与试验 被引量:2
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作者 陈栋泉 李国莹 +2 位作者 曹潘冬 李振佐 杨然兵 《农机化研究》 北大核心 2024年第2期31-37,共7页
为解决育种小区玉米高位投种过程中播种质量和粒距均匀性普遍较差等问题,针对排种器与导种管相对位置对粒距均匀性的影响进行了研究分析。通过对投种过程的理论分析,得出高速作业不同粒距条件会影响种子脱离种盘时产生的水平方向分速度... 为解决育种小区玉米高位投种过程中播种质量和粒距均匀性普遍较差等问题,针对排种器与导种管相对位置对粒距均匀性的影响进行了研究分析。通过对投种过程的理论分析,得出高速作业不同粒距条件会影响种子脱离种盘时产生的水平方向分速度,使得种子在导种管内产生碰撞,导致其排出的轨迹无法预测,播种粒距均匀性也随之下降。利用EDEM离散元分析软件对投种过程进行仿真试验,结果表明:在垂直距离344mm的条件下,150~230mm粒距采用水平距离82mm,230~300mm粒距采用水平距离84mm,能够在满足农艺要求并获得较好的粒距均匀性。进行了台架试验验证,结果表明对比未优化单体,优化后的单体能够获得较好的播种质量,粒距均匀性变异系数最大为12.04%,符合小区玉米精密播种的作业要求。 展开更多
关键词 玉米 高位投种 导种管 粒距均匀性 EDEM
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基于空间三维非均匀SISO阵列雷达的介质目标快速成像算法
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作者 邓桂林 邓彬 +1 位作者 陈旭 曾旸 《电子学报》 EI CAS CSCD 北大核心 2024年第1期274-287,共14页
近年来,随着高精度定位系统的迅猛发展,基于手持式毫米波雷达的阵列成像技术在无损检测和医疗成像等涉及介质内部结构成像的领域中引起了广泛关注.与常见的二维(Two-Dimensional,2D)平面单发单收(SingleInput-Single-Output,SISO)阵列... 近年来,随着高精度定位系统的迅猛发展,基于手持式毫米波雷达的阵列成像技术在无损检测和医疗成像等涉及介质内部结构成像的领域中引起了广泛关注.与常见的二维(Two-Dimensional,2D)平面单发单收(SingleInput-Single-Output,SISO)阵列不同的是,基于手持式毫米波雷达的阵列,其阵元通常非均匀分布于三维(Three-Dimensional,3D)空间中,导致现有的基于平面SISO阵列的对介质目标内部结构进行快速成像重构的算法无法适用.为此,本文提出了一种适用于空间3D非均匀SISO阵列雷达的半空间介质目标快速成像算法.该算法将空间3D非均匀SISO阵列的每一个阵元扩展为一个的虚拟阵列,然后将所有虚拟阵列的回波数据变换至波数域后进行相干累加,最后通过3D逆傅里叶变换(Inverse Fourie Transform,IFT)实现快速成像.数值仿真和实验测量表明,与同样适用于该场景的改进后向投影(Improved Backward Projection,IBP)算法相比,在本文给定的成像参数条件下,所提算法可以在保证成像质量的同时,将成像时间缩短94%以上. 展开更多
关键词 3D非均匀SISO阵列 半空间介质目标 波数域 快速成像算法 虚拟阵列
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