Proceedings ArticleDOI
The response of the transfer function of an alpha-beta filter to various measurement models
John E. Gray,W.J. Murray +1 more
- pp 389-393
TLDR
In this paper, the alpha-beta filter is used to quantify the filter's performance against different measurement models representing a target's trajectory, and closed form expressions for smoothed position and velocity outputs for various measurement models are derived.Abstract:
The response characteristics of the alpha-beta filter are used to quantify the filter's performance against different measurement models representing a target's trajectory. The transfer functions for an alpha-beta filter are used to derive closed form (solutions) expressions for smoothed position and velocity outputs for various measurement models. The filter's response to constant velocity targets is found to be the input plus a sinusoidal transient. Constant acceleration measurement models, in addition, yield a steady state bias that is a function of the filter parameters alpha and beta . Finally, the filter's response to a sinusoidal input is determined. >read more
Citations
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Proceedings Article
Design of nearly constant velocity track filters for tracking maneuvering targets
TL;DR: The deterministic tracking index is introduced and used to develop a relationship between the maximum acceleration and the process noise variance that either minimizes the maximum mean squared error (MMSE) in position or weighted sum of the noise variance plus maneuver bias.
Journal ArticleDOI
A General Solution to Optimal Fixed-Gain ( $\alpha$ - $\beta$ - $\gamma$ etc.) Filters
TL;DR: The solution of this letter obviates the need for special “aeolotropic” filter design and the results produced by this method agree with published results for specialized algorithms.
Proceedings ArticleDOI
Guidance algorithms for tactical missiles with strapdown seeker
TL;DR: In this article, the authors address how to design guidance algorithms to overcome problems due to the parasite loop in short-range guided missiles and investigate the performance of the proposed algorithms via numerical simulations for short range tactical missiles.
Journal ArticleDOI
Filter Design for Steady-State Tracking of Maneuvering Targets with LFM Waveforms
TL;DR: In this paper, the authors derived expressions for the sensor-noise only covariance matrix and the position and velocity lags during maneuvers for an alphabeta-filter processing measurements from linear frequency modulated (LFM) waveforms.
Journal Article
Performance Prediction of Multisensor Tracking Systems for Single Maneuvering Targets.
William Dale Blair,Paul Miceli +1 more
TL;DR: A simple to compute algorithm is presented that accounts for scenario laydowns and can be extended to multiple sensors while assuming measurement sharing on a single maneuvering target.
References
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Book
Applied Optimal Estimation
TL;DR: This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation, and the theory and practice of optimal estimation is presented.
Journal ArticleDOI
The Tracking Index: A Generalized Parameter for α-β and α-β-γ Target Trackers
TL;DR: In this paper, the tracking index, a generalized parameter proportional to the ratio of the position uncertainty due to the target maneuverability to that due to sensor measurement, is presented for the target tracking problem.
Journal ArticleDOI
Synthesis of an optimal set of radar track-while-scan smoothing equations
T. Benedict,G. Bordner +1 more
TL;DR: In this article, a set of position-and velocity tracking equations is synthesized by a calculus-of-variations technique, and the resulting optimally synthesized set characterizes the commonly termed "alpha-\beta " tracker, with the important proviso that \beta=\alpha^{2}/(2 - \alpha).
Book
Radar Principles with Applications to Tracking Systems
TL;DR: The Radar Sensor Signal Processing Waveform Selection Pulse Compression Measurement Theory Kalman Filtering Adaptive Kalmanfiltering Coordinate Systems A Representative STT Radar Data Correlation Logic
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