Target tracking-before-detecting method based on Gaussian cardinalized probability hypothesis density filter

Abstract

The invention provides a target tracking-before-detecting method based on Gaussian cardinalized probability hypothesis density filter, comprising the following steps: initializing: letting k represent a k time wherein k starts from one and belongs to a set of 1, 2,...,D; determining Nk targets corresponding to the k time; recording the moving state of the pth target at the k time as what is described in the figure; calculating the likelihood function corresponding to the intensity of the moving state Xk of the Nk targets at the (i,j) position contained in a radar observation area in the k-time Cartesian coordinate system under the moving state of the pth target at the k time; then calculating the average state estimations of the Nk targets at k time and the covariance estimations of the Nk targets at k time; and calculating in sequence the probability pk(Nk) of the target number (Nk) at the k time and the estimated value of the targets Nk contained in the radar observation area Nx X Ny in the k-time Cartesian coordinate system; letting one added to k to obtain the estimated value of target N1 included in the radar observation area Nx X Ny in the Cartesian coordinate system at 1 time to the estimated value of the target number ND included in the radar observation area Nx X Ny in the Cartesian coordinate system at D time.

Description

technical field [0001] The invention belongs to the technical field of radar target tracking, in particular to a target tracking method before detection based on Gaussian particle potential probability hypothesis density filtering, that is, a target tracking method before detection based on Gaussian particle potential probability hypothesis density (cardinalized probability hypothesis density, CPHD) filtering , which is suitable for weak and small target tracking in the case of low signal-to-noise ratio or large amount of data processing. Background technique [0002] Due to the urgent needs of radar anti-stealth and long-range early warning and other fields, weak target detection has gradually become a current research hotspot; the current detection of weak targets mainly uses Track Before Detection (TBD) technology, which does not set a threshold for each scan. Energy accumulation is performed on multi-frame scanning data to detect and track weak targets; the implementatio...

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Problems solved by technology

The above two algorithms are implemented by Monte Carlo, and the particle support set is large in a complex environment, resulting in high complexity

Jayesh H.K, Petar M.D. proposed Gaussian particle filter (Gaussian particle filter, GPF) in Gaussian particle filtering [J].IEEE Trans.on Aerospace and Electronic Systems, 2001:429-432 published by Jayesh H.K, Petar M.D. The posterior distribution of the unknown state variable Approximate to a Gaussian function, iteratively store the mean and covariance of the target state, which can significantly reduce the complexity of the operation, but the improvement in the estimation of the target number is limited

[0005] A

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