Bayesian field tracking

Robert G. Lindgren; Lisa A. Taylor

doi:10.1117/12.157810

22 October 1993 Bayesian field tracking

Robert G. Lindgren, Lisa A. Taylor

Proceedings Volume 1954, Signal and Data Processing of Small Targets 1993; (1993) https://doi.org/10.1117/12.157810
Event: Optical Engineering and Photonics in Aerospace Sensing, 1993, Orlando, FL, United States

Abstract

In this paper we address the problem of tracking a signal through successive intervals of matched-filter processing. The common approach to this problem is to locate candidate detections in the matched-filter output at each interval, to associate successive detections in state space, to estimate successive states through a Kalman filter application, and to rank association sequences (tracks) with respect to kinematic consistency. However, if a signature model is available and matched-filter statistics are known, the matched-filter output can be converted to a likelihood function that can drive recursive Bayesian processing for the signal state distribution (and no-signal probability). The field tracker described here follows this processing, compromising the optimality of the Bayesian approach only through the discreteness of the state-space domain. The field approach has a detection capability superior to that of an association approach for low SNR signals, and it is highly compatible with parallel processing. An application to the detection and tracking of a constant-velocity signal in 4-D state space (2-D position, 2-D velocity) is provided by way of illustration, and it demonstrates the ability to achieve a conclusive detection of a 3.5-dB-per-update target in ten updates. A number of application alternatives are described that extend the concept to multiple-target scenarios, refined velocity estimates, connection to velocity-independent processing steams, and computationally efficient means of estimating kinematic variables and signal amplitude through auxiliary fields.

Citation Download Citation

Robert G. Lindgren and Lisa A. Taylor "Bayesian field tracking", Proc. SPIE 1954, Signal and Data Processing of Small Targets 1993, (22 October 1993); https://doi.org/10.1117/12.157810

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