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白噪声驱动的立方正色散奥斯特洛夫斯基方程
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作者 闫威 张俏俏 《河南师范大学学报(自然科学版)》 CAS 北大核心 2020年第1期5-10,共6页
主要研究白噪声驱动的奥斯特洛夫斯基方程的柯西问题.当初值u0(·,ω)∈H^s(R)(a.e.ω∈Ω),s 1/4且Φ∈2L^0,s时,初值F0-可测,使用傅里叶限制定理、三线性估计和不动点定理,得到问题的局部适定性.
关键词 柯西问题 白噪声驱动的立方奥斯特洛夫斯基方程 三线估计
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Moving least squares-based multi-functional sensing technique for estimating viscosity and density of ternary solution
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作者 刘丹 魏国 +1 位作者 孙金玮 刘昕 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第4期460-464,共5页
In the osmotic dehydration process of food,on-line estimation of concentrations of two components in ternary solution with NaCl and sucrose was performed based on multi-functional sensing technique.Moving Least Square... In the osmotic dehydration process of food,on-line estimation of concentrations of two components in ternary solution with NaCl and sucrose was performed based on multi-functional sensing technique.Moving Least Squares were adopted in approximation procedure to estimate the viscosity of such interested ternary solution with the given data set.As a result,in one mode of using total experimental data as calibration data and validation data,the relative deviations of estimated viscosities are less than ±1.24%.In the other mode,by taking total experimental data except the ones for estimation as calibration data,the relative deviations are less than ±3.47%.In the same way,the density of ternary solution can be also estimated with deviations less than ± 0.11% and ± 0.30% respectively in these two models.The satisfactory and accurate results show the extraordinary efficiency of Moving Least Squares behaved in signal approximation for multi-functional sensors. 展开更多
关键词 viscosity estimation density estimation Moving Least Squares ternary solution
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基于三条相互垂直直线的单目位姿估计 被引量:10
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作者 刘昶 朱枫 欧锦军 《模式识别与人工智能》 EI CSCD 北大核心 2012年第5期737-744,共8页
基于单目视觉的位姿估计是计算机视觉中的典型问题之一.文中利用目标物体上的三条相互垂直的直线特征和相机像平面上这些特征的对应获得已标定相机相对于目标物体的位姿参数,给出其闭式求解方法,并证明问题解的数量与相机光心和三条直... 基于单目视觉的位姿估计是计算机视觉中的典型问题之一.文中利用目标物体上的三条相互垂直的直线特征和相机像平面上这些特征的对应获得已标定相机相对于目标物体的位姿参数,给出其闭式求解方法,并证明问题解的数量与相机光心和三条直线的相对位置有关.当光心位于两个特殊平面以外时存在唯一解,反之若在该两个平面之间则存在两个解,并且这两个解具有对称性,该性质可作为合理解的判别依据.由于三条相互垂直的直线是长方体的三条边缘,而长方体在现实世界中广泛存在,该结论为应用直线特征进行单目视觉位姿估计及合作目标设计提供理论依据. 展开更多
关键词 单目视觉 位姿估计 三线透视问题(P3L) 线特征
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一类广义OST方程局部解的适定性
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作者 王宏伟 连颖颖 《扬州大学学报(自然科学版)》 CAS 北大核心 2017年第2期13-16,共4页
研究了一类广义OST方程的Cauchy问题,首先利用[k;Z]乘子范数方法得到Bourgain空间中的一类三线性估计,然后在H^s(R)(s>-1/2)中证明了该类方程局部解的适定性.
关键词 OST方程 三线估计 局部解
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WELL-POSEDNESS FOR THE CAUCHY PROBLEM TO THE HIROTA EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
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作者 HUOZHAOHUI JIAYUELING 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2005年第1期75-88,共14页
The local well-posedness of the Cauchy problem for the Hirota equation is established for low regularity data in Sobolev spaces Hs(s ≥ -1-4). Moreover, the global well-posedness for L2 data follows from the local wel... The local well-posedness of the Cauchy problem for the Hirota equation is established for low regularity data in Sobolev spaces Hs(s ≥ -1-4). Moreover, the global well-posedness for L2 data follows from the local well-posedness and the conserved quantity. For data in Hs(s > 0), the global well-posedness is also proved. The main idea is to use the generalized trilinear estimates, associated with the Fourier restriction norm method. 展开更多
关键词 Fourier restriction norm Trilinear estimates Hirota equation Low regularity Global well-posedness
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Estimation of multipath parameters in wireless communications using multi-way compressive sensing 被引量:3
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作者 Fangqing Wen Gong Zhang De Ben 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2015年第5期908-915,共8页
This paper addresses the problem of joint angle and delay estimation(JADE) in a multipath communication scenario. A low-complexity multi-way compressive sensing(MCS) estimation algorithm is proposed. The received data... This paper addresses the problem of joint angle and delay estimation(JADE) in a multipath communication scenario. A low-complexity multi-way compressive sensing(MCS) estimation algorithm is proposed. The received data are firstly stacked up to a trilinear tensor model. To reduce the computational complexity,three random compression matrices are individually used to reduce each tensor to a much smaller one. JADE then is linked to a low-dimensional trilinear model. Our algorithm has an estimation performance very close to that of the parallel factor analysis(PARAFAC) algorithm and automatic pairing of the two parameter sets. Compared with other methods, such as multiple signal classification(MUSIC), the estimation of signal parameters via rotational invariance techniques(ESPRIT), the MCS algorithm requires neither eigenvalue decomposition of the received signal covariance matrix nor spectral peak searching. It also does not require the channel fading information, which means the proposed algorithm is blind and robust, therefore it has a higher working efficiency.Simulation results indicate the proposed algorithm have a bright future in wireless communications. 展开更多
关键词 multipath channel delay estimation direction-of-arrival (DOA) estimation multi-way compressive sensing (MCS)
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