McMahon Jason, Martin Richard K, Cain Stephen C
Air Force Research Laboratory Munitions Directorate, 101 West Eglin Boulevard, Eglin Air Force Base, Florida 32542, USA.
Appl Opt. 2011 Jun 10;50(17):2559-71. doi: 10.1364/AO.50.002559.
This paper derives the Cramer-Rao bound (CRB) on range separation estimation of two point sources interrogated by a three-dimensional flash laser detection and ranging (LADAR) system. An unbiased range separation estimator is also derived to compare against the bound. Additionally, the CRB can be expressed as a function of two LADAR design parameters (range sampling and transmitted pulse width), which can be selected in order to optimize the expected range resolution between two point sources. Given several range sampling capabilities, the CRB and simulation show agreement that there is an optimal pulse width where a shorter pulse width would increase estimation variance due to undersampling of the pulse and a longer pulse width would degrade the resolving capability. Finally, the optimal pulse-width concept is extended to more complex targets and a normalized pulse definition.
本文推导了三维闪光激光探测与测距（激光雷达）系统对两个点源进行距离分离估计时的克拉美-罗界（CRB）。还推导了一个无偏距离分离估计器，以便与该界进行比较。此外，CRB可以表示为两个激光雷达设计参数（距离采样和发射脉冲宽度）的函数，可以选择这些参数以优化两个点源之间的预期距离分辨率。在给定几种距离采样能力的情况下，CRB和仿真结果表明，存在一个最佳脉冲宽度，较短的脉冲宽度会由于脉冲采样不足而增加估计方差，而较长的脉冲宽度会降低分辨能力。最后，将最佳脉冲宽度的概念扩展到更复杂的目标和归一化脉冲定义。
