概率假设密度滤波的物理空间意义

为了深入理解概率假设密度滤波,本文在Ozgur Erdinc对随机集的物理空间假设的基础上,采用Bayes公式和全概率公式对概率假设密度滤波的迭代过程进行了推导.为有效改善概率假设密度滤波的目标漏检问题提供了理论基础.

Derivation of the probability hypothesis density filter via the physical-space approach

In order to well understand the probability hypothesis density, according to the physical-space model given by Ozgur Erdin, we deduce the probability hypothesis density filter function with the Bayes theorem and the total probability theorem. The derivation result is identical to the result in the literature, and the derivation process is described in detail. The results in this paper will provide a theoretical basis for solving the target-death problem.
Keywords： random set probability hypothesis density filter multi-target tracking