Ivanov Sergei, Kuptsov Vladimir, Badenko Vladimir, Fedotov Alexander
Institute of Electronics and Telecommunications, Peter the Great St. Petersburg Polytechnic University, 29 Polytechnicheskaya Str., 195251 Saint Petersburg, Russia.
Sensors (Basel). 2022 Apr 14;22(8):3018. doi: 10.3390/s22083018.
The manuscript presents an algorithm for the optimal estimation of the amplitude and propagation delay time of an ultra-wideband radio signal, in systems for the passive location of fixed targets based on the hybrid RSS/TDoA method in two-dimensional space with two base stations. The optimal estimate is based on the Bayesian strategy of maximum a posteriori probability density, taking into account a priori data on the statistical properties of the Line of Sight radio channel during Gaussian monocycle propagation. The Bayesian Cramer-Rao lower bound (BCRLB) of the delay time and the amplitude estimates for a time-discrete signal are calculated, and the resulting parameter estimate is compared with BCRLB. An algorithm has been developed for optimal estimation of distances from the radiation source to base stations, based on the results of the measurements of the amplitude and the propagation delay time of the UWB radio signal. The calculation of the statistical characteristics of the obtained estimate is carried out, and the functional dependence of the characteristics on various parameters is analyzed.
该手稿提出了一种算法，用于在基于混合RSS/TDoA方法的二维空间中、具有两个基站的固定目标无源定位系统中，对超宽带无线电信号的幅度和传播延迟时间进行最优估计。最优估计基于最大后验概率密度的贝叶斯策略，同时考虑了高斯单周期传播期间视距无线电信道统计特性的先验数据。计算了时间离散信号延迟时间和幅度估计的贝叶斯克拉美罗下界（BCRLB），并将所得参数估计与BCRLB进行比较。基于超宽带无线电信号幅度和传播延迟时间的测量结果，开发了一种从辐射源到基站距离的最优估计算法。对所得估计的统计特性进行了计算，并分析了这些特性对各种参数的函数依赖性。
