基于二阶锥规划的共形阵列宽带方向图综合

针对目前共形阵列方向图综合算法中全局优化算法计算复杂度高,已有凸优化算法不能处理宽带信号的问题,提出了一种基于二阶锥规划的共形阵列宽带恒定束宽方向图综合方法。该算法首先推导并建立了更为简单的共形阵列宽带信号模型;然后在频域上构造空间响应变化约束,并在空域上构造方向图的目标函数和约束条件;最后利用二阶锥规划求得最优权矢量,实现宽带信号方向图综合。理论分析和仿真结果表明,该方法能够有效地获得期望信号并抑制干扰信号,在计算复杂度上低于全局优化算法,且阵列响应具有良好的频率一致性。     

基于双迭代与二阶锥规划的机载雷达稳健降维STAP方法

针对机载雷达空时自适应处理（STAP）中期望目标导向矢量的失配问题,提出一种基于双迭代与二阶锥规划的稳健降维STAP方法。该方法首先将权矢量分解为空域与时域两个低维权矢量的Kronecker积,然后分别限定实际空域、时域导向矢量与假定导向矢量之间的误差范数边界,并通过对各自最差性能进行优化,转化为相应的SOCP形式,进而利用双迭代算法实现了对两个低维权矢量的分别求解,最终合成全维STAP权矢量。该方法在保证稳健STAP性能的同时,通过双迭代降维处理,能够有效降低训练样本数需求与运算复杂度,因此更具有实际应用价值。仿真结果验证了算法的有效性。     

Lift-and-project MVEE based convex hull for robust SCED with wind power integration using historical data-driven modeling approach

This paper presents an adjustable robust security constrained economic dispatch (SCED) model with wind power uncertainties. First, the scenario based adjustable robust SCED model is presented. It considers multiple scenarios from historical data as well as the spatial correlation among wind farms. Then, the proposed SCED model becomes an optimization problem with a large amount of constraints which is skillfully solved using a lift-and-project minimum volume enclosing ellipsoid (MVEE) based convex hull. Furthermore, the proposed model is transformed into a second order cone programming (SOCP) model by the use of participation factors to generate adjustable generation outputs and thus guarantee the energy balance. In order to further reduce the computational complexity, the inactive constraints reduction strategy is proposed to quickly eliminate inactive SOC security constraints before solving the model. Numerical results of IEEE 14-bus and 118-bus test systems as well as the practical Polish power systems with several wind farms show that the proposed model can achieve better economies. Moreover, more than 82% of security constraints are identified as inactive in various cases of the simulation, and the proposed inactive constraints reduction strategy is promising for improving the computational performance.     

Distributed algorithm for target localization in wireless sensor networks using RSS and AoA measurements

This paper addresses target localization problem in a cooperative 3-D wireless sensor network (WSN). We employ a hybrid system that fuses distance and angle measurements, extracted from the received signal strength (RSS) and angle-of-arrival (AoA) information, respectively. Based on range measurement model and simple geometry, we derive a novel non-convex estimator based on the least squares (LS) criterion. The derived non-convex estimator tightly approximates the maximum likelihood (ML) one for small noise levels. We show that the developed non-convex estimator is suitable for distributed implementation, and that it can be transformed into a convex one by applying a second-order cone programming (SOCP) relaxation technique. We also show that the developed non-convex estimator can be transformed into a generalized trust region sub-problem (GTRS) framework, by following the squared range (SR) approach. The proposed SOCP algorithm for known transmit powers is then generalized to the case where the transmit powers are different and not known. Furthermore, we provide a detailed analysis of the computational complexity of the proposed algorithms. Our simulation results show that the new estimators have excellent performance in terms of the estimation accuracy and convergence, and they confirm the effectiveness of combining two radio measurements.     

Extended finite element method for plastic limit load computation of cracked structures

The extended finite element method is extended to allow computation of the limit load of cracked structures. In the paper, it is demonstrated that the linear elastic tip enrichment basis with and without radial term may be used in the framework of limit analysis, but the six‐function enrichment basis based on the well‐known Hutchinson–Rice–Rosengren asymptotic fields appears to be the best. The discrete kinematic formulation is cast in the form of a second‐order cone problem, which can be solved using highly efficient interior‐point solvers. Finally, the proposed numerical procedure is applied to various benchmark problems, showing that the present results are in good agreement with those in the literature. Copyright © 2015 John Wiley & Sons, Ltd.     

一种基于高分辨距离像数据的稳健检测算法

摘要：针对逆合成孔径雷达目标的检测问题,提出了一种对高分辨距离像数据检测的稳健算法.本文采用改进的二阶锥规划对各个距离单元的信号进行估计,并推导出改进的稳健广义似然比检测算子.分析了新算法的计算复杂度,证明了恒虚警率性,并估计了检测门限.三类飞机实测数据的多个实验结果表明,在严重导向矢量失配的情况下,本文算法性能相对与传统的广义似然比算法有明显的提高.     

基于二阶锥规划的HRTF波束形成合成方法

利用宽带波束形成器输出合成了HRTF数据.确立了波束形成器结构,建立了HRTF合成的最优问题,采用二阶锥规划最优方法得到了波束形成器的最优权向量,进而利用波束形成器的输出得到HRTF合成数据.同时结合MIT实验室的HRTF测量数据的基本特性,在求解最优问题的过程中利用了HRTF的最小相位表示,进一步降低了滤波器阶次,简化了波束形成器结构.计算机仿真和主观听觉定位实验表明,在一定频段内该方法得到的HRTF合成近似值和测量数据具有较好的一致性,验证了该方法的有效性.     

A joint TDOA and FDOA estimation algorithm based on second-order cone programming

ABSTRACT

Considering the low estimation accuracy of the traditional interpolation method, this paper, on the basis of second-order cone programming (SOCP), proposes a novel joint time difference of arrival (TDOA) and frequency difference of arrival (FDOA) estimation interpolation method, which can attain the sub-sample precision. The proposed method uses several discrete samples produced by cross ambiguity function (CAF) to structure the convex optimization models with regard to the interpolation surface. Then, the SOCP is utilized to obtain the interpolation surface which matches the discrete surface of CAF well. Finally, the method achieves the precision superior to the traditional TDOA and FDOA estimation directly through the search for the maximum of the continuous approximate surface. This method decreases the computational load without loss of precision and can efficiently reduce the limitation of finite sampling interval and sampling time in estimation precision. Numerical simulations show that the method in this paper is efficient and outperforms existing interpolation algorithms about estimation precision.     

导数约束平滑条件下基于模糊函数特征的雷达辐射源信号识别方法

针对低信噪比条件下,雷达辐射源信号识别效果差的问题,提出了一种导数约束平滑条件下提取信号模糊函数特征的辐射源信号识别方法.建立了基于取整函数和坐标转换的模糊函数最大能量角提取的数学模型,降低处理复杂度;提出了不依赖于信号及噪声具体模型的基于导数约束平滑的最大能量切片波形信息提取算法,转化为二阶锥规划（Second-order Cone Programming,SOCP）问题求解,较大程度地降低了噪声对模糊函数波形特征的影响;依据有效性指标,确定了本文算法中目标函数正则化系数与对称Holder系数的范数因子取值,最后通过模糊c-means方法实现对辐射源信号特征向量的聚类识别.仿真结果表明,在低信噪比条件下本文方法具有更高的识别正确率.     

Adaptive Beamforming and DOA Estimation Using Uniform Concentric Spherical Arrays with Frequency Invariant Characteristics

This paper proposes a new digital beamformer for uniform concentric spherical array (UCSA) having nearly frequency invariant (FI) characteristics. The basic principle is to transform the received signals to the phase mode and remove the frequency dependency of the individual phase mode through the use of a digital beamforming network. It is shown that the far field pattern of the array is determined by a set of weights and it is approximately invariant over a wide range of frequencies. FI UCSAs are electronic steerable in both the azimuth and elevation angles, unlike their concentric circular array counterpart. The frequency invariant characteristic of the FI UCSA also makes it possible to design separately the compensation network and beamformer weighting coefficients. The design of the compensation network is formulated as a second order cone programming (SOCP) problem and is solved optimally for minimax criterion. Thanks to the frequency invariant characteristic, traditional narrow band adaptive beamforming algorithms such as minimum variance beamforming (MVB) can be applied to the FI UCSA. Also, traditional narrow band 2-D direction of arrival (DOA) estimation algorithms such as unitary ESPRIT can be extended to broadband DOA estimation using FI UCSA. Simulation results show that the proposed adaptive beamformer using FI UCSA can obtain a higher output signal to inference plus noise ratio over the conventional tapped-delay line approach. Simulation results also show that FI UCSA has uniform beampattern and resolution around 360° in both azimuth and elevation angles, unlike FI uniform concentric circular array. The usefulness of the proposed UCSA-FIB in broadband 2-D DOA estimation is also verified by computer simulation.