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Beyond the Kalman Filter: Particle Filters for Tracking Applications
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Branko Ristic, Sanjeev Arulampalam, Neil Gordon
Artech House, Hardcover, Published February 2004, ISBN 158053631X
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For most tracking applications the Kalman filter is reliable and efficient, but it is limited to a relatively restricted class of linear Gaussian problems. To solve problems beyond this restricted class, particle filters are proving to be dependable methods for stochastic dynamic estimation. Packed with 867 equations, this cutting-edge book introduces the latest advances in particle filter theory, discusses their relevance to defense surveillance systems, and examines defense-related applications of particle filters to nonlinear and non-Gaussian problems.

With this hands-on guide, you can develop more accurate and reliable nonlinear filter designs and more precisely predict the performance of these designs. You can also apply particle filters to tracking a ballistic object, detection and tracking of stealthy targets, tracking through the blind Doppler zone, bi-static radar tracking, passive ranging (bearings-only tracking) of maneuvering targets, range-only tracking, terrain-aided tracking of ground vehicles, and group and extended object tracking.

 

Table of Contents

Part I - Theoretical Concepts.

Introduction - Nonlinear Filtering. The Problem and Its Conceptual Solutions. Optimal Algorithms. Multiple Switching Dynamic Models. Basics of Target Tracking. Summary.

Suboptimal Nonlinear Filters - Analytic Approximations. Numerical Methods. Gaussian Sum Filters. Unscented Kalman Filter. Summary.

A Tutorial on Particle Filters - Monte Carlo Integration. Sequential Importance Sampling. Resampling. Selection of Importance Density. Versions of Particle Filters. Summary.

Cramér-Rao Bounds for Nonlinear Filtering - Background. General Recursive Calculations. Special Cases. Multiple Switching Dynamic Models. Probability of Detection Less than 1. Summary.

Part II - Tracking Applications.

Tracking a Ballistic Object.

Bearings-Only Tracking.

Range-Only Tracking.

Bistatic Radar Tracking.

Tracking Targets Through Blind Doppler.

Terrain Aided Tracking.

Detection and Tracking of Stealthy Targets.

Group and Extended Object Tracking.

About the Author(s)

Branko Ristic is a senior research scientist in the Tracking and Sensor Fusion Group at the ISR Division of DSTO, Edinburgh, Australia. In 2002 he was awarded the Defence Science Fellowship by the Information Sciences Laboratory of DSTO. He earned his Ph.D. at the Signal Processing Research Centre of Queensland University of Technology, Australia.

Sanjeev Arulampalam is a senior research scientist in the Submarine Combat Systems Group, Maritime Operations Division of DSTO, Edinburgh, Australia. In 2000 he was awarded the Anglo-Australian postdoctoral fellowship by the Royal Academy of Engineering, London. He earned his Ph.D. in electrical and electronics engineering at the University of Melbourne, Australia.

Neil Gordon is a senior research scientist in the Tracking and Sensor Fusion Group at the ISR Division of DSTO, Edinburgh, Australia. Dr Gordon earned his Ph.D. in statistics at the Imperial College, University of London.




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