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双语推荐:均方误差矩阵

针对Gauss-Markov模型,讨论了在均方误差矩阵(MSEM)准则和Pitman Closeness(PC)准则下回归系数的广义岭估计相对于最小二乘估计的优良性.
For the Gauss-Markov model,under the mean square error matrix(MSEM)criterion and Pitman Closeness (PC)criterion,the superiorities of the generalized ridge estimator of regression coefficients over the least square estimator were studied.

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对回归模型进行适当变换,得到了线性模型广义最小二乘估计的中偏差及重对数律,并且在均方误差矩阵准则下得到了 Bayes(BE)估计与广义最小二乘估计的2种不同相对效率的上下界.
The moderate deviations and the law of iterated logarithm for the generalized least square estimators in linear models were obtained by transforming the regression model appropriatly. Further, the upper and lower bounds of two kinds of relative efficiency of the Bayes estimator and generalized least squares estimation were obtained in the mean-square error matrix criterion.

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通过多输入多输出( MIMO)通信系统模型,建立信道矩阵,分析MIMO系统天线数与容量的关系。在此基础上,利用隐训练序列和接收信号对MIMO通信系统信道参数进行估计,得到了信道估计算法的均方误差结果,提升了系统性能。
By using MIMO system model, the paper established channel matrix, and analyzed the relationship between the antenna number and capacity of MIMO system. On this basis, the author used implicit training sequence and receiving signal to estimate the channel parameters in MIMO communication system, and obtained the mean square error of channel estimation algorithm results so as to improve the system performance.

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数字成像设备在传输、显示图像时需要进行设备的特性化处理,该过程是设备颜色管理中的重要环节。为了保证输出图像的色彩复现能力,高动态范围数字相机需要根据设备自身特性进行特性化。现有特性化过程一般针对8位数字相机,并且转换矩阵的标定较为复杂,容易产生系统误差,矩阵精度易受影响。针对上述问题,提出了一种高动态范围彩色数字相机颜色管理方法,利用相机输出图像与被摄目标的色彩属性建立了RGB色彩空间到CIE1931 XYZ色彩空间的映射关系,并采用最小二乘拟合法对映射矩阵进行标定,最终将相机的RGB色彩空间转换至sRGB标准色彩空间,解决了高动态相机的特性化问题。实验证明,该方法操作简单,设备通用性较强,拟合均方误差优于0.08,具有较好的鲁棒性。
Digital imaging devices require color space characterization while transferring or showing image between various devices which is a crucial part of color management for digital devices. In order to keep the color reproduction ability for output image, a high dynamic range digital (HDR) camera requires characterization based on the device properties. For existing characterization algorithms, which are in most cases for 8- bit- digital cameras, the processes of transformation matrix calibration are involved in some complex approaches, which are easy to cause system errors and influence the precision of color space transformation matrix. Accordingly, a color management approach was proposed for a high dynamic range colorful digital camera that using a color space mapping from camera RGB space to CIE1931 XYZ color space to estimate the function relation between two color spaces and using the least square method to achieve color matrix calibration. Eventually the camera RGB color

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采用主成分分析法筛选出显著的驱动因子,结合灰色关联分析将筛选出的驱动因子进行灰色聚类和优势分析.以用水量驱动因子为基础,利用SPSS建立多层感知器网络,利用矩阵实验室建立GRNN神经网络和BP神经网络.将诱导有序加权平算子(IOWA)应用到水量预测模型中,构建基于IOWA算子的MLP-GRNN-BP组合用水量预测模型,最后建立由平方和误差(SSE)、均方误差(MSE)、平绝对误差(MAE)、平绝对百分比误差(MAPE)、方百分比误差(MSPE)和Theil系数(μ)组成的预测效果评价体系,评价预测模型的预测效果,最后以重庆市的用水量预测为例,验证以上方法的可行性.结果表明:经过主成分分析及灰色关联分析,可将用水量驱动因子由31个降为12个,12个驱动因子可综合为4个聚类,可确定4种用水量的各自驱动因子的重要性排序;BP,MLP,GRNN和MLP-GRNN-BP组合模型预测结果的MAPE,MSPE和Theil系数在5%以内.
Urban water consumption prediction is full of complexity due to the different influencing factors and the uncertainty of the statistics database.A comprehensive water consumption prediction model was de-veloped to slove this problem.Multiple approaches were integrated into this model.Specifically,the signifi-cant influencing factors of water consumption were selected by principal component analysis:then,the se-lected influencing factors were further classified by gray cluster analysis and gray relational analysis.Based on the evaluation of the significant influencing factors,a multilayer perceptron network was established by SPSS software,GRNN and BP neural networks were established by Matlab software.IOWA operator was also applied to the water prediction model.Consequently,a MLP -GRNN -BP comprehensive water demand consumption prediction model was developed based on the IOWA operator.The evaluation system,using the sum of squares error (SSE),the mean square error (MSE),mean

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归一化最小均方误差(NLMS)算法被广泛应用于无源相干定位(PCL)雷达系统的直达波和多径干扰对消。该文提出 NLMS 干扰对消器与雷达模糊函数结合可以等效为凹槽滤波器,该滤波器在雷达模糊函数平面中的零多普勒处产生一个凹槽。分析显示凹槽的宽度和深度与 NLMS 算法的步长密切相关。文章分析了凹槽对 PCL 雷达目标检测的影响,结果显示宽的凹槽会使 PCL 雷达系统的目标检测性能恶化。文章进一步提出了非匀归一化最小均方误差(Non-uniform NLMS, NNLMS)算法,该算法能有效抑制具有多普勒频率的杂波,并且能有效降低雷达模糊函数的底噪。该算法引进了步长矩阵,利用该矩阵可以实现在不同的距离单元产生不同宽度的凹槽,每个距离门的凹槽宽度取决于杂波干扰的能量和多普勒频率。与传统 NLMS 相比,NNLMS 算法可以实现更快的收敛速度,试验结果验证了该算法的有效性及优越性。
The Normalized Least-Mean-Squares (NLMS) algorithm is widely used to cancel the direct and multiple path interferences in Passive Coherent Location (PCL) radar systems. This study proposes that the interference cancelation using the NLMS algorithm and the calculation of the radar Cross Ambiguity Function (CAF) can be modeled as a notch filter, with the notch located at zero Doppler frequency in the surface of the radar CAF. The analysis shows that the notch’s width and depth are closely related to the step size of the NLMS algorithm. Subsequently, the effect of the notch in PCL radar target detection is analyzed. The results suggest that the detection performance of the PCL radar deteriorates because of the wide notch. Furthermore, the Nonuniform NLMS (NNLMS) algorithm is proposed for removing the clutter with the Doppler frequency by using notch filtering. A step-size matrix is adopted to mitigate the low Doppler frequency clutter and lower the floor of the radar CAF. With
对由于包含多余回归自变量而导致的错误指定线性回归模型,本文导出了回归系数的最小二乘估计,普通混合估计以及随机约束Liu估计,并在均方误差矩阵准则下对这三个估计的优良性进行了比较,给出了随机约束Liu估计优于最小二乘估计和普通混合估计的充要条件.此外,对它们所对应的经典预测值的优良性也进行了讨论.
In this paper,we firstly derived the expressions of the well-known ordinary-T least square estimator (OLSE),the ordinary mixed estimator (OME) introduced by Theil and Golberger (1961) and the stochastic restricted Liu estimator (SRLE) proposed by Yang and Xu (2007) under misspecification due to inclusion of some superfluous variables.Then,performances of these estimators under misspecification are examined.In particular,necessary and sufficient conditions for the superiority of the SRLE over the OLSE and OME with respect to the mean squared error matrix (MSEM)criterion are derived.Furthermore,superiority of the corresponding predictors of these estimators are also investigated.
首先从理论上分析有限采样影响下秩减估计器的波达方向估计性能,然后基于信号(或噪声)子空间的正交投影矩阵扰动定理,分别推导秩减估计器方位估计偏差的一阶和二阶闭式表达式,在此基础上给出其方位估计均方误差、偏置以及测向成功概率的理论计算公式,最后针对若干重要的秩减估计器给出数值实验,实验结果验证了所提理论推导的有效性.
@@@@The DOA estimation performance of the rank reduction estimator(RARE) in the case of finite samples was studied. Based on the perturbation theorem associated with the orthogonal projection matrix of the signal (or noise) sub-space, the first-order and second-order formulas for the DOA estimation errors of the RARE were derived. Then, the closed-form expressions for mean square error (MSE), bias and direction finding (DF) success probability of the RARE were presented. A variety of numerical experiments concerning some important RARE are conducted to verify the theo-retical analysis.

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针对具有非线性特性的自动离合器系统,设计了一种鲁棒故障检测滤波器,以检测自动离合器系统的突变和缓变故障。采用线性矩阵不等式的方法,给出存在故障检测滤波器的充分条件,使误差系统渐近稳定并且满足鲁棒H∞性能指标,并提出了基于残差方值的故障检测策略。仿真结果经试验验证表明:所提出的故障检测方法用于AMT汽车自动离合器系统故障检测是可行而有效的。
In the view of the nonlinear characteristics of automatic clutch system, a robust fault detection filter is designed to detect the abrupt and incipient faults of automatic clutch system. A sufficient condition is also derived in terms of linear matrix inequality, making the system asymptotically stable and meets the requirements of robust H∞ performance. In addition, a scheme of fault detection based on residual mean squares is proposed. The simulation results are verified by tests, showing that the fault detection scheme proposed for the automatic clutch sys-tem of AMT vehicle is feasible and effective.
针对多光谱图像在色度高保真再现等领域的应用,为提高压缩效率,进一步存储传输,提出了WF系列编码方法,设计了APWS_RA算法,进而提出了一种低复杂度、光照稳定性好且支持跨设备再现的WF_APWS_RA压缩算法。首先研究了现有的基于光谱均方误差的小波嵌入编码原理,提出了色感应失真准则和视觉特性矩阵W;同时,优化了APWS编码算法的码率分配,形成APWS_RA编码算法;最后,结合以上技术,以色度误差准则指导编码,对视觉加权后的多光谱图像数据进行aPWS_rA编码,命名为WF_APWS_RA。WF_APWS_RA算法融合人眼视觉特性矩阵W ,利用吸引力传播(Affinity Propagation )聚类挖掘加权图像的谱间冗余,小波变换去除其空间冗余,最后结合误差补偿机制和码率分配策略进行小波编码。实验表明,在相同比特率下,较现有低复杂度经典编码算法,WF系列编码方法能更有效地保留光谱中的色度信息,APWS_RA算法的重建光谱误差最小,WF_APWS_RA算法的重建色度精度优势明显。
In order to improve multispectral images compression efficiency and further facilitate their storage and transmission for the application of color reproduction and so on ,in which fields high color accuracy is desired ,WF serial methods is proposed , and APWS_RA algorithm is designed .Then the WF_APWS_RA algorithm ,which has advantages of low complexity ,good illu-minant stability and supporting consistent color reproduction across devices ,is presented .The conventional MSE based wavelet embedded coding principle is first studied .And then color perception distortion criterion and visual characteristic matrix W are proposed .Meanwhile ,APWS_RA algorithm is formed by optimizing the rate allocation strategy of APWS .Finally ,combined above technologies ,a new coding method named WF_APWS_RA is designed .Colorimetric error criterion is used in the algo-rithm and APWS_RA is applied on visual weighted multispectral image .In WF_APWS_RA ,affinity propagation clustering is u-tilized