Abstract

This paper presents a novel receiver selection method for multi-target tracking in multi-static Doppler radar systems. The assumption is that in the surveillance volume of interest, a single transmitter with a known frequency is active and several spatially distributed radar receivers collect and report Doppler-only measurements. The Doppler measurements are not only affected by the additive noise but also contaminated by false and missed detections. In this paper, multi-target tracking is obtained by modeling the multi-target state as a labeled multi-Bernoulli random finite set and receiver selection is implemented during tracking. Receiver selection is solved under the partially observed Markov decision framework, and the variance of the cardinality estimate is used as the selection criterion. To increase the diversity of the selected sensors and overcome the low observability of the Doppler measurement, the receivers selected at previous time steps are taken into account by adding a window. Simulation studies demonstrate the tracking performance of the proposed method with different window lengths. The results show that the observability of the target state is a crucial factor in determining the performance of receiver selection. The proposed method with a suitable window length can effectively improve the tracking accuracy.

Highlights

  • Multi-target tracking using multi-static tracking systems has a long history [1,2,3,4,5]

  • The problem of sensor management for multi-target tracking in multi-static Doppler radar system has not been fully studied, and this paper presents a novel receiver selection solution

  • The receiver selection problem is formulated as a partially observed Markov decision process (POMDP) model [40], in which the multi-target dynamics is a Markov process, but there is no direct access to current states

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Summary

Introduction

Multi-target tracking using multi-static tracking systems has a long history [1,2,3,4,5]. The radar receivers can typically measure the multi-static range, direction-of-arrival (DOA) and Doppler shift. The Doppler-shift measurement is widely considered in the multi-static radar systems and the main reasons are twofold. The multi-static Doppler radar system is assumed to be cooperative so that all information of the transmitter and receivers are available. In the multi-static Doppler system, a transmitter located at t = [tx, ty]T illuminates the target xk with position pk = [px,k , px,k ]T and velocity pk = [px,k , px,k ]T. If the signal is scattered by the target, receiver j with position r(j) = [rx(j), ry(j)]T will receive it and report a Doppler measurement as zk(j) = −pkT pk − r(j) pk − r(j). The distribution of false detections (clutter) is time invariant and independent of the target

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