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Proceedings ArticleDOI

A coordinate-transformation based filter for improved target tracking

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TLDR
In this paper, a maximum likelihood estimation method is developed for applications to the target tracking problem based on bearing observations from a single observer, which involves propagation of states in rectangular co-ordinates in which the linear dynamics permit a closed form solution.
Abstract
A maximum likelihood estimation method is developed for applications to the target tracking problem based on bearing observations from a single observer. The method involves propagation of states in rectangular co-ordinates in which the linear dynamics permit a closed form solution. At the measurement times, the states are converted to a special polar coordinate system in which the measurement is modelled as linear in the transformed state, and updated using the Kalman methodology. The coordinate transformation is chosen so that the direct transformation of the maximum likelihood estimate is approximately preserved. The numerical experiments for a target-intercept problem are presented which show that the performance of this coordinate transformation based filter is superior to that of the cartesian system based extended Kalman filter. Approximate analytical results are also presented to corroborate the numerical results.

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Citations
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A Survey of Maneuvering Target Tracking—Part III: Measurement Models

TL;DR: In this paper, the authors provide a comprehensive survey of the techniques for tracking maneuvering targets without addressing the so-called measurement-origin uncertainty, including Cartesian, sensor measurement, their mixed, and other coordinates.
Proceedings ArticleDOI

A survey of maneuvering target tracking: approximation techniques for nonlinear filtering

TL;DR: In this article, the authors provide a comprehensive survey of techniques for tracking maneuvering targets without addressing the so-called measurement-origin uncertainty, especially those in the context of maneuvering target tracking.
Proceedings ArticleDOI

An Assessment of Air-to-Air Missile Guidance and Control Technology

TL;DR: In this paper, the assumptions, benefits, and limitations of recent applications of nonlinear filtering, adaptive filtering, modern control, adaptive control, dual control, differential game theory, and modern control design techniques to the air-to-air missile problem are discussed.
Journal ArticleDOI

Extension to Modified Polar Coordinates and Applications with Passive Measurements

TL;DR: In this paper, a modified polar coordinate filter is proposed for target tracking with passive measurements, which is superior to that of the widely used rectangular Cartesian coordinate-based extended Kalman filter.
Journal ArticleDOI

Current Trends in Tactical Missile Guidance

TL;DR: A brief survey of the existing techniques and current trends in tactical missile guidance is presented in this paper, where the authors present a brief review of the current techniques and trends in this field.
References
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Book

Stochastic Processes and Filtering Theory

TL;DR: In this paper, a unified treatment of linear and nonlinear filtering theory for engineers is presented, with sufficient emphasis on applications to enable the reader to use the theory for engineering problems.
Journal ArticleDOI

Estimating Optimal Tracking Filter Performance for Manned Maneuvering Targets

TL;DR: In this paper, an optimal Kalman filter has been derived for this purpose using a target model that is simple to implement and that represents closely the motions of maneuvering targets, using this filter, parametric tracking accuracy data have been generated as a function of target maneuver characteristics, sensor observation noise, and data rate and that permits rapid a priori estimates of tracking performance to be made when the target is to be tracked by sensors providing any combination of range, bearing, and elevation measurements.
Journal ArticleDOI

Utilization of modified polar coordinates for bearings-only tracking

TL;DR: In this paper, the authors derived exact state equations for the MP filter without imposing any restrictions on own-ship motion; thus, prediction accuracy inherent in the traditional Cartesian formulation is completely preserved.
Journal ArticleDOI

A comparison of several nonlinear filters for reentry vehicle tracking

TL;DR: In this paper, the authors compared the performance of several non-linear filters for the real-time estimation of the trajectory of a reentry vehicle from its radar observations, including iterative-sequential filters, single-stage iteration filters, and second-order filters.
Journal ArticleDOI

Improved extended Kalman filter design for passive tracking

TL;DR: In this paper, an extended Kalman filter is used for coordinate estimation of a stationary object using bearing measurements taken from a moving platform, and a bound on the Lyapunov function decay rate is given to assist in the design of the modified nonlinearities and in the selection of an appropriate coordinate basis.
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