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

Abstract

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.