Time-differences-of-arrival （TDOA） and gain-ratios-of- arrival （GROA） measurements are used to determine the passive source location. Based on the measurement models, the con- strained weighted least squares （CWL...Time-differences-of-arrival （TDOA） and gain-ratios-of- arrival （GROA） measurements are used to determine the passive source location. Based on the measurement models, the con- strained weighted least squares （CWLS） estimator is presented. Due to the nonconvex nature of the CWLS problem, it is difficult to obtain its globally optimal solution. However, according to the semidefinite relaxation, the CWLS problem can be relaxed as a convex semidefinite programming problem （SDP）, which can be solved by using modern convex optimization algorithms. Moreover, this relaxation can be proved to be tight, i.e., the SDP solves the relaxed CWLS problem, and this hence guarantees the good per- formance of the proposed method. Furthermore, this method is extended to solve the localization problem with sensor position errors. Simulation results corroborate the theoretical results and the good performance of the proposed method.展开更多
针对现有的M通道过采样图滤波器组整体性能较差的问题,该文提出一种过采样图滤波器组设计的新算法。在新算法中,分两步来设计图滤波器组。首先,从频谱特性方面考虑来设计分析滤波器,以分析滤波器的通带波纹和阻带能量为目标函数,以3 d ...针对现有的M通道过采样图滤波器组整体性能较差的问题,该文提出一种过采样图滤波器组设计的新算法。在新算法中,分两步来设计图滤波器组。首先,从频谱特性方面考虑来设计分析滤波器,以分析滤波器的通带波纹和阻带能量为目标函数,以3 d B约束为约束条件,通过半正定规划求解出频谱选择性较好的分析滤波器;然后,从完全重构特性方面考虑来设计综合滤波器,以综合滤波器的阻带能量为目标函数,以完全重构条件为约束函数。上述两个约束优化问题都是半正定规划问题,都可有效地求解。新算法综合考虑了滤波器组的重构特性和频率特性,因此可以设计得到整体性能良好的M通道双正交过采样的图滤波器组。仿真对比表明,与已有的设计算法相比,新算法设计所得的图滤波器组具备更小的重构误差。展开更多
基金supported by the National Natural Science Foundation of China(61201282)the Science and Technology on Communication Information Security Control Laboratory Foundation(9140C130304120C13064)
文摘Time-differences-of-arrival （TDOA） and gain-ratios-of- arrival （GROA） measurements are used to determine the passive source location. Based on the measurement models, the con- strained weighted least squares （CWLS） estimator is presented. Due to the nonconvex nature of the CWLS problem, it is difficult to obtain its globally optimal solution. However, according to the semidefinite relaxation, the CWLS problem can be relaxed as a convex semidefinite programming problem （SDP）, which can be solved by using modern convex optimization algorithms. Moreover, this relaxation can be proved to be tight, i.e., the SDP solves the relaxed CWLS problem, and this hence guarantees the good per- formance of the proposed method. Furthermore, this method is extended to solve the localization problem with sensor position errors. Simulation results corroborate the theoretical results and the good performance of the proposed method.
文摘针对现有的M通道过采样图滤波器组整体性能较差的问题,该文提出一种过采样图滤波器组设计的新算法。在新算法中,分两步来设计图滤波器组。首先,从频谱特性方面考虑来设计分析滤波器,以分析滤波器的通带波纹和阻带能量为目标函数,以3 d B约束为约束条件,通过半正定规划求解出频谱选择性较好的分析滤波器;然后,从完全重构特性方面考虑来设计综合滤波器,以综合滤波器的阻带能量为目标函数,以完全重构条件为约束函数。上述两个约束优化问题都是半正定规划问题,都可有效地求解。新算法综合考虑了滤波器组的重构特性和频率特性,因此可以设计得到整体性能良好的M通道双正交过采样的图滤波器组。仿真对比表明,与已有的设计算法相比,新算法设计所得的图滤波器组具备更小的重构误差。
