针对近场信源定位中自由度小、准确性低等问题,提出一种基于四阶累量矩阵的定位算法。首先构造等效导向矢量包含波达方向(Direction of arrival,DOA)和距离信息的高维虚拟协方差矩阵,在角度估计中,提出基于矩阵秩亏来搜索最小奇异值倒...针对近场信源定位中自由度小、准确性低等问题,提出一种基于四阶累量矩阵的定位算法。首先构造等效导向矢量包含波达方向(Direction of arrival,DOA)和距离信息的高维虚拟协方差矩阵,在角度估计中,提出基于矩阵秩亏来搜索最小奇异值倒数的一维搜索方法,降低了计算量,在增大自由度的同时利用高斯噪声高阶累量为零的特性提高了低信噪比下的性能;在不进行额外计算的前提下,直接利用角度估计中进行奇异值分解时得到的奇异向量所包含的距离信息,通过最小二乘法得到距离。仿真结果表明,相比于已有算法,该方法可以仅在一个高阶累量矩阵中通过一维搜索估计角度和距离,在降低复杂度的同时提高了准确性,并且提出方法的自由度是降维多重信号分类方法的2倍。展开更多
根据评定误差的最小包容区域准则(Minimum zone criteria,MZC),应用坐标变换法建立评定椭圆轮廓度误差的5变量鞍点规划模型。因MZC误差评定模型的关键是计算每个测点到理想椭圆轮廓的最小距离,为此采用一维搜索算法求解该最小距离。由...根据评定误差的最小包容区域准则(Minimum zone criteria,MZC),应用坐标变换法建立评定椭圆轮廓度误差的5变量鞍点规划模型。因MZC误差评定模型的关键是计算每个测点到理想椭圆轮廓的最小距离,为此采用一维搜索算法求解该最小距离。由于差分进化(Differential evolution,DE)算法具有概念简单和收敛速度快的优点,文中利用该算法求解评定椭圆轮廓度误差优化问题。给出2个椭圆轮廓度误差评定实例。结果表明,提出的模型和算法可行有效,其评定结果小于应用最小外接椭圆和最大内接椭圆法求得的误差。在相同计算开销的条件下,DE算法的性能指标优于遗传算法和粒子群算法。展开更多
In this paper,a new type of machinery which can enlarge the stroke of air cylinder is introduced. It is very useful when the original stroke of air cylinder cannot satisfy the work requirement.According to design requ...In this paper,a new type of machinery which can enlarge the stroke of air cylinder is introduced. It is very useful when the original stroke of air cylinder cannot satisfy the work requirement.According to design requirements,its multi-objective mathematic model with constrained conditions is built. In order to solve this model, some methods are discussed and used such as penalty function method,variable metric method,Newton tangent method and bisection method. Based on the optimal result,motion curves of enlarging stroke mechanism are obtained. Results show that the motion characteristic of enlarging stroke of air cylinder mechanism is satisfying. In addition,we also consider the influence of different initial values of link length to optimal results and two important laws are got in this paper on the basis of optimal results.展开更多
The steepest descent(or ascent)search is employed for finding optimum diffusion coefficients in T42L9G model,with a view to improving the model's computational stability or prediction accuracy.The method of the st...The steepest descent(or ascent)search is employed for finding optimum diffusion coefficients in T42L9G model,with a view to improving the model's computational stability or prediction accuracy.The method of the steepest descent search is first described,in which the golden section search is chosen as the fundamental one- dimensional search used in the multi-dimentional steepest descent search,and then the optimization of the dif- fusion coefficients is described.展开更多
文摘针对近场信源定位中自由度小、准确性低等问题,提出一种基于四阶累量矩阵的定位算法。首先构造等效导向矢量包含波达方向(Direction of arrival,DOA)和距离信息的高维虚拟协方差矩阵,在角度估计中,提出基于矩阵秩亏来搜索最小奇异值倒数的一维搜索方法,降低了计算量,在增大自由度的同时利用高斯噪声高阶累量为零的特性提高了低信噪比下的性能;在不进行额外计算的前提下,直接利用角度估计中进行奇异值分解时得到的奇异向量所包含的距离信息,通过最小二乘法得到距离。仿真结果表明,相比于已有算法,该方法可以仅在一个高阶累量矩阵中通过一维搜索估计角度和距离,在降低复杂度的同时提高了准确性,并且提出方法的自由度是降维多重信号分类方法的2倍。
文摘根据评定误差的最小包容区域准则(Minimum zone criteria,MZC),应用坐标变换法建立评定椭圆轮廓度误差的5变量鞍点规划模型。因MZC误差评定模型的关键是计算每个测点到理想椭圆轮廓的最小距离,为此采用一维搜索算法求解该最小距离。由于差分进化(Differential evolution,DE)算法具有概念简单和收敛速度快的优点,文中利用该算法求解评定椭圆轮廓度误差优化问题。给出2个椭圆轮廓度误差评定实例。结果表明,提出的模型和算法可行有效,其评定结果小于应用最小外接椭圆和最大内接椭圆法求得的误差。在相同计算开销的条件下,DE算法的性能指标优于遗传算法和粒子群算法。
基金Program for Changjiang Scholars and Innovative Research Team in University,China(No.IRT1220)Donghua University Thesis Innovation Fund,China(No.EG2014028)
文摘In this paper,a new type of machinery which can enlarge the stroke of air cylinder is introduced. It is very useful when the original stroke of air cylinder cannot satisfy the work requirement.According to design requirements,its multi-objective mathematic model with constrained conditions is built. In order to solve this model, some methods are discussed and used such as penalty function method,variable metric method,Newton tangent method and bisection method. Based on the optimal result,motion curves of enlarging stroke mechanism are obtained. Results show that the motion characteristic of enlarging stroke of air cylinder mechanism is satisfying. In addition,we also consider the influence of different initial values of link length to optimal results and two important laws are got in this paper on the basis of optimal results.
文摘The steepest descent(or ascent)search is employed for finding optimum diffusion coefficients in T42L9G model,with a view to improving the model's computational stability or prediction accuracy.The method of the steepest descent search is first described,in which the golden section search is chosen as the fundamental one- dimensional search used in the multi-dimentional steepest descent search,and then the optimization of the dif- fusion coefficients is described.
