EFFICIENCY OF ESTIMATION OF FIXED POLYNOMIAL EFFECTS IN MIXED MODELS BASED ON PBIB DESIGN

ＥＦＦＩＣＩＥＮＣＹＯＦＥＳＴＩＭＡＴＩＯＮＯＦＦＩＸＥＤＰＯＬＹＮＯＭＩＡＬＥＦＦＥＣＴＳＩＮＭＩＸＥＤＭＯＤＥＬＳＢＡＳＥＤＯＮＰＢＩＢＤＥＳＩＧＮ￥ＴＡＯＪｉｎｇｘｕａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉｎｙａｎｇＮｏｒｍａ...     

基于子空间法的空时分组码系统信道盲估计

结合多信道子空间理论,结合空时分组码的正交特性,提出了新的盲信道估计算法。首先,根据空时分组码结构特点,将原编码矩阵分解,并将接收矩阵合理地构造,把原信道矩阵重新构造成新的重构信道矩阵。然后求出重构信道矩阵的噪声子空间,之后利用信号子空间与噪声子空间正交特性,构造出信道矩阵作为变量的线性方程组,因而可以得到信道矩阵的闭式解。对三种典型的空时分组码进行仿真验证,仿真结果表明本算法的有效性。     

低快拍下基于稀疏重构的大电磁矢量传感器阵列多维参数联合估计

大尺寸电磁矢量传感器(electro magnetic vector sensor, EMVS)比小尺寸EMVS辐射效率更高, 研究其参数估计算法有助于推动EMVS的实装化应用。针对大尺寸EMVS阵列研究了低快拍下参数估计问题, 提出基于稀疏重构的波达方向(direction of arrival, DOA)和极化参数联合估计算法。首先构造仅含DOA信息的低维块稀疏表示, 然后采用块正交匹配追踪算法恢复块稀疏信号, 最后利用得到恢复后的信号反推出DOA和极化参数估计值。仿真表明了该算法在低快拍下参数估计的有效性, 且计算量和精度均优于现有基于稀疏重构的小尺寸EMVS参数估计算法。     

Multiple models adaptive feedforward decoupling controller

1.INTRODUCTION Thecontrolofdynamicsystemswithlargeuncertain tiesispaidgreatattentionforbothcontroltheorists andengineers.It’sknownthatthesystemwithun knowntimeinvariantorslowlytimevaryingparame terscangetgoodperformancebyusingaconventional adaptivecontroller.Butwhensystemboundarycon ditionchanges,subsystemfails,largeexternaldistur bancepresents,theparametersofthesystemwill changeabruptlyandthepresenceofthelargeparame tererrorswillgenerallyresultinslowreaction,slow convergence,poortransien…     

基于组合式信号源的非线性系统辨识

针对非线性系统中噪声的干扰,研究了一类神经模糊Hammerstein输出误差非线性系统的建模和辨识方法,利用组合式信号源实现静态非线性模块和动态线性模块参数辨识的分离,推导了相关性分析法和辅助模型递推最小二乘辨识方法估计动态线性模块和非线性模块的参数,有效抑制系统输出噪声的干扰。仿真结果表明：与最小二乘算法、多项式模型以及多信息方法相比,提出的方法具有参数估计收敛速度快,辨识精度高,建模误差小等优势,验证了所提学习算法的有效性。     

加速寿命数据的贝叶斯建模与分析

在加速寿命试验的可靠性设计中, 随机化设计的限制以及删失数据不可避免地导致低分位数估计出现较大的偏差。针对上述的问题, 结合贝叶斯抽样技术以及非线性混合模型(nonlinear mixed model, NLMM)提出了一种可靠性改进的分析方法。首先, 需要检验所收集的数据是否服从威布尔分布以及验证形状参数是否是恒定常数。其次, 考虑随机效应对尺度参数和形状参数的影响, 运用NLMM构建了尺度参数和形状参数与试验因子之间的函数关系。然后, 利用贝叶斯方法估计低分位数的可靠性寿命。最后, 实际案例研究表明, 在考虑删失问题和未完全随机设计的影响时, 所提方法能够获得更为稳健和可靠的估计结果。     

Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects

This paper considers experimental situations where the interested effects have to be orthogonal to a set of nonnegligible effects.It is shown that various types of orthogonal arrays with mixed strength are A-optimal for estimating the parameters in ANOVA high dimension model representation.Both cases including interactions or not are considered in the model.In particularly,the estimations of all main effects are A-optimal in a mixed strength(2,2)_3 orthogonal array and the estimations of all main effects and two-factor interactions in G_1×G_2 are A-optimal in a mixed strength(2,2)_4 orthogonal array.The properties are also illustrated through a simulation study.     

波形正交性退化下机载MIMO雷达杂波模型与自由度分析

针对发射波形正交性退化影响机载多输入多输出（multiple input multiple output,MIMO）雷达的杂波特性,基于信号空间和子阵空间的变换原理,建立了波形正交性退化下的机载MIMO雷达杂波通用模型和标准模型。基于带限信号的最优逼近特性,分析了波形正交性退化下的空时等效阵列孔径变化规律,提出了杂波自由度（degree of freedom, DOF）的估计准则。最后,仿真验证了杂波模型及杂波自由度估计准则的有效性。     

Design and comparison of minimal symmetric model-subset for maneuvering target tracking

Model-set is utilized in state estimation for maneuvering target tracking.Two minimal symmetric model-subsets are designed and investigated by moment matching method,which include hypersphere-symmetric model-subset and axis-symmetric model-subset,if system mode is a random variable and obeys certain probability distribution.They can be used as the fundamental model-subset for multiple models estimation with fixed structure,variable structure and moving bank.The model-groups constructed by above designed subsets are given,which give the practical guidance for use of model-set in multiple models approach with a variable structure.Simulation results show that the performances of two minimal model-set significantly outperform the corresponding model-sets with fixed spacing.     

基于多项式拟合的OFDM系统符号盲同步算法

提出了一种基于循环前缀的正交频分复用（orthogonal frequency division multiplexing,OFDM）系统定时同步的低复杂度算法。算法利用相关函数的结构性质,可以消除冗余信息,直接针对相关函数的峰值位置进行求解。同时,通过多项式来拟合同步函数,从而在保证得到正确的信道时延估计值的同时有效降低算法时间复杂度。仿真结果证明,本文算法在平坦衰落信道和频率选择性衰落信道下均能保持良好的性能,并且计算所需时间远小于其他基于循环前缀的盲同步算法。     

The ANOVA-type inference in linear mixed model with skew-normal error

Linear mixed effect models with skew-normal errors and distribution-free random effects are considered. The ANOVA-type F-tests are proposed to test the significance of random effects and the hypothesis on fixed effects of interest, respectively. Both tests are proved to be exact F-tests under this model, and the exact confidence interval for fixed effects of interest is derived. Simulation results are given to study the powers of ANOVA-type tests.     

Blind channel estimation for redundant precoded OFDM systems

Considering that channel estimation can play a crucial role in coherent detection of the information symbols in each data block, a blind channel estimation approach is proposed for redundant precoded orthogonal frequency-division multiplexing (OFDM) systems. A redundant linear frequency-domain precoder is applied to each pair of blocks before they enter the OFDM system. Because of the introduced structure, the frequency-selective channel can be identified at the receiver based on autocorrelation operations, singular value decomposition (SVD), and by resolving the scalar ambiguity. The proposed channel estimation method has low computational complexity and requires no prior statistical information on channel or noise. And the proposed blind method has high spectral efficiency owing to exploiting no training sequence. Computer simulations confirm that this proposed blind channel estimation method can identify the frequency-selective channels perfectly and obtain a good performance.     

基于LPFT-MUSIC的窄带多项式相位信号波达方向估计方法

基于局部多项式傅里叶变换（local polynomial Fourier transform, LPFT）,提出了一种新颖有效的窄带多项式相位信号波达方向估计算法。虽然LPFT比Wigner-Ville分布运算复杂,但该变换具有更优的瞬时频率估计能力、较低的交叉项影响,及处理多项式相位信号的能力。理论分析表明,本文方法的信噪比提升能力优于基于Wigner-Ville分布的传统时频子空间多重信号分类（multiple signal classification, MUSIC）法。仿真实验验证该方法的性能。     

基于非线性PLS回归的军用软件成本估算

当变量间存在多重相关性时,常采用偏最小二乘（partial least squares, PLS）回归进行建模。但是,传统PLS回归采用线性关系式来建立内部成分与外部成分之间的关系,已有的非线性PLS在模型可解释性方面存在不足。针对军用软件成本估算问题的非线性特点,建立了一种基于内部机理的非线性PLS回归模型,给出了模型的推导过程和实现算法。实例分析表明,该方法的估算精度优于多元线性回归,线性PLS回归和基于多项式内部映射的非线性回归。     

Joint channel estimation and symbol detection for space-time block code

The simplified joint channel estimation and symbol detection based on the EM (expectation-maximization) algorithm for space-time block code (STBC) are proposed. By assuming channel to be invariant within only one STBC word and utilizing the orthogonal structure of STBC, the computational complexity and cost of this algorithm are both very low, so it is very suitable to implementation in real systems.     

高斯色噪声下混合信号二维DOA估计方法

针对色高斯噪声环境下混合信号二维波达方向(two-dimensional direction of arrival, 2D-DOA)估计问题,提出四阶累积量与斜投影算子相结合的混合信号波达方向(direction of arrival, DOA)估计算法。首先利用接收数据构造四阶累积量矩阵切片替代传统协方差矩阵来抑制高斯色噪声,并通过传播算子方法(propagator method,PM)估计非相干信号的仰角与方位角。然后采用正交三角(orthogonal triangular,QR)分解构造特定的斜投影算子,使接收信号中仅包含相干信号信息。将矩阵重构与PM相结合来解相干并估计相干信号的仰角与方位角。可以实现高斯色噪声背景下混合信号的2D-DOA估计,且估计信号的方位角和仰角能够实现自动配对,仿真实验证明了算法的有效性。     

基于压缩传感的MIMO-OFDM水声通信信道估计算法

充分利用水声信道的稀疏特征,提出一种基于压缩传感理论的多输入多输出正交频分复用(multiple-input multiple-output orthogonal frequency division multiplexing, MIMO-OFDM)水声通信系统信道估计算法。在MIMO-OFDM水声通信系统模型的基础上,考虑Doppler频移的影响设计符合压缩传感理论框架的过完备字典,利用一系列非正交基在过完备字典下描述待重建信号。通过对比分析基追踪降噪、丹茨格选择器以及正交匹配跟踪3种算法的信道估计性能,进一步证明了算法的有效性。仿真实验结果表明,基于压缩传感的稀疏信道估计算法具有优于传统最小二乘算法的信道估计精度,并且在最小二乘矩阵求逆奇异的情况下仍能准确地估计出信道参数;在计及Doppler频移的影响时,直接压缩传感估计优于补偿后的压缩传感估计方法。     

基于OFDM系统的空时频分组编码方案

提出了一种空时频分组编码方案,其设计思路是:接收端通过子信道的相关特性确定不相关子载波组,并反馈给发射端;发射端基于反馈信息,利用星座旋转预编码矩阵和空时分组编码技术构建空时频分组编码。该方案只反馈子信道的相关性而无需反馈整个信道信息,可应用于任意数量的发射/接收天线,能获得极高的分集增益和带宽效率,且只有较低的解码复杂度。在瑞利衰落环境下的仿真结果证实了此方案的鲁棒性。     

Bootstrap LM Tests for Spatial Dependence in Panel Data Models with Fixed Effects

This paper applies bootstrap methods to LM tests(including LM-lag test and LM-error test) for spatial dependence in panel data models with fixed effects, and removes fixed effects based on orthogonal transformation method proposed by Lee and Yu(2010). The consistencies of LM tests and their bootstrap versions are proved, and then some asymptotic refinements of bootstrap LM tests are obtained. It shows that the convergence rate of bootstrap LM tests is O((N T)~(-2)) and that of fast double bootstrap LM tests is O((NT)~(-5/2)). Extensive Monte Carlo experiments suggest that,compared to aysmptotic LM tests, the size of bootstrap LM tests gets closer to the nominal level of signifiance, and the power of bootstrap LM tests is higher, especially in the cases with small spatial correlation. Moreover, when the error is not normal or with heteroskedastic, asymptotic LM tests suffer from severe size distortion, but the size of bootstrap LM tests is close to the nominal significance level.Bootstrap LM tests are superior to aysmptotic LM tests in terms of size and power.     

Efficiently counting affine roots of mixed trigonometric polynomial systems

Estimating the number of isolated roots of a polynomial system is not only a fundamental study theme in algebraic geometry but also an important subproblem of homotopy methods for solving polynomial systems. For the mixed trigonometric polynomial systems, which are more general than polynomial systems and rather frequently occur in many applications, the classical B′ezout number and the multihomogeneous B′ezout number are the best known upper bounds on the number of isolated roots. However, for the deficient mixed trigonometric polynomial systems, these two upper bounds are far greater than the actual number of isolated roots. The BKK bound is known as the most accurate upper bound on the number of isolated roots of a polynomial system. However, the extension of the definition of the BKK bound allowing it to treat mixed trigonometric polynomial systems is very difficult due to the existence of sine and cosine functions. In this paper, two new upper bounds on the number of isolated roots of a mixed trigonometric polynomial system are defined and the corresponding efficient algorithms for calculating them are presented. Numerical tests are also given to show the accuracy of these two definitions, and numerically prove they can provide tighter upper bounds on the number of isolated roots of a mixed trigonometric polynomial system than the existing upper bounds, and also the authors compare the computational time for calculating these two upper bounds.