DP-MFTD algorithm based on the conditional probability ratio accumulation model

Qiang Wei, Qihong Yang, Zhong Liu
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Abstract

In the environment of non-Gaussian background clutter without target signal distribution parameters, it is difficult to derive the likelihood ratio merit function of traditional multiple frame target detection algorithms. To solve this problem, a dynamic programming MFTD algorithm based on the accumulation model of conditional probability ration is proposed together with the analysis of its performance. In this thesis, problems in the traditional MFTD method have been analyzed. With the maximum of the target's state conditional PDF ratio as the optimal criteria, a recursive accumulation model is established according to this algorithm, which is then locally linearized by Taylor series expansion. And a linearized approximate function is adopted, instead of the likelihood ratio, during the recursive accumulation, so the clutter outliers can be restrained by making use of clutter's feature of distribution, the recursive accumulation equations of MFTD algorithm based on local linearization are derived, under different non-Gaussian distribution. Through simulation experiments, comparisons between the algorithm and the traditional ones are made, which proves that such an algorithm enjoys better detection and tracking performances in the non-Gaussian clutter background.
基于条件概率比积累模型的DP-MFTD算法
在无目标信号分布参数的非高斯背景杂波环境下,传统的多帧目标检测算法难以推导出似然比优点函数。针对这一问题,提出了一种基于条件概率比率积累模型的动态规划MFTD算法,并对其性能进行了分析。本文分析了传统MFTD方法存在的问题。以目标状态条件PDF比的最大值为最优准则,根据该算法建立递归积累模型,然后通过泰勒级数展开对模型进行局部线性化。在递归累加过程中采用线性化近似函数代替似然比,利用杂波的分布特性抑制杂波异常值,推导了不同非高斯分布下基于局部线性化的MFTD算法递归累加方程。通过仿真实验,将该算法与传统算法进行了比较,证明该算法在非高斯杂波背景下具有更好的检测和跟踪性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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