基于单光子计数激光雷达的Bayesian检测研究

在单光子计数激光雷达检测领域,目前的检测方法在低信噪比情况下虚警概率会增加,同时也无法适应噪声变化的问题。针对这些问题,提出了一种基于Bayesian的检测方法,该方法首先通过雷达方程估计回波信号光子数的范围,将其作为先验信息,而后结合二项分布建立了累计概率模型,基于Bayesian判决准则计算得到检测阈值,此阈值能够在检测概率与虚警概率中间择其平衡。这种方法不仅克服了低信噪比检测困难的情况,还减少了先验信息的获取难度。实验结果表明,对比固定阈值其虚警概率降低了10倍。对比“恒虚警”其检测概率提高了约20。验证了方法具有良好的检测效果,具备一定的可操作性。

Research on Bayesian detection for single photon counting lidar

In the field of single photon counting lidar detection,the current detection methods have an increased probability of false alarms at low signal-to-noise ratios,as well as the inability to adapt to noise variations.In response to these problems,a Bayesian-based detection method is proposed,which first estimates the range of the photon number of the echo signal by the radar equation and uses it as a priori information,and then combines the binomial distribution to establish a cumulative probability model,and calculates the detection threshold based on the Bayesian judgment criterion,which is a balanced choice between the detection probability and the false alarm probability.This method not only overcomes the difficulty of low signal-to-noise ratio detection,but also reduces the difficulty of obtaining prior information.The experimental results show that the false alarm probability is reduced by a factor of 10 compared to a fixed threshold.The detection probability is increased by about 20 % compared with "constant false alarm".It is verified that the method has good detection effect and has certain operability.