Chen Qiushi, Zhang Xin, Yang Qiang, Ye Lei, Zhao Mengxiao
Department of Electronic and Information Engineering, Harbin Institute of Technology, Harbin 150001, China.
Key Laboratory of Marine Environmental Monitoring and Information Processing, Ministry of Industry and Information Technology, Harbin 150001, China.
Sensors (Basel). 2019 Apr 29;19(9):2002. doi: 10.3390/s19092002.
A performance bound-Cramér-Rao lower bound (CRLB) for target estimation and detection in sparse stepped frequency radars is presented. The vector formulation of this CRLB is used to obtain a lower bound on the estimation error. The estimation performance can be transformed into different types of CRLB structures. Therefore, the expressions of bounds under three equivalent models are derived separately: time delay and Doppler stretch estimator, joint multiple parameter estimator, and sparse-based estimator. The variables to be estimated include the variances of unknown noise, range, velocity, and the real and imaginary parts of the amplitude. A general performance expression is proposed by considering the echo of the target in the line-of-sight. When the relationship between CRLB and various parameters are discussed in detail, the specific effect of waveform parameters on a single CRLB is compared and analyzed. Numerical simulations demonstrated that the resulting CRLB exhibits considerable theoretical and practical significance for the selection of optimal waveform parameters.
提出了一种用于稀疏步进频率雷达中目标估计与检测的性能界——克拉美罗下界（CRLB）。利用该CRLB的向量公式来获得估计误差的下界。估计性能可以转化为不同类型的CRLB结构。因此，分别推导了三种等效模型下的界的表达式：时延和多普勒拉伸估计器、联合多参数估计器以及基于稀疏的估计器。待估计的变量包括未知噪声的方差、距离、速度以及幅度的实部和虚部。通过考虑目标在视线上的回波，提出了一个通用的性能表达式。当详细讨论CRLB与各种参数之间的关系时，比较并分析了波形参数对单个CRLB的具体影响。数值模拟表明，所得的CRLB对于最优波形参数的选择具有相当的理论和实际意义。
