Advances in Remote Sensing

Volume 3, Issue 2 (June 2014)

ISSN Print: 2169-267X   ISSN Online: 2169-2688

Google-based Impact Factor: 1.5  Citations  

Fundamental Properties and Optimal Gains of a Steady-State Velocity Measured α-β Tracking Filter

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DOI: 10.4236/ars.2014.32006    3,311 Downloads   5,667 Views  Citations
Author(s)

ABSTRACT

This paper clarifies the steady-state properties and performance of an α-β filter for moving target tracking using both position and velocity measurements. We call this filter velocity measured α-β (VM-α-β) filter. We first derive the stability condition and steady-state predicted errors as fundamental properties of the VM-α-β filter. The optimal gains for representative motion models are then derived from the Kalman filter equations. Theoretical and numerical analyses verify that VM-α-β filters with these optimal gains realize more accurate tracking than conventional α-β filters when the filter gains are relatively large. Our study reveals the conditions under which the predicted errors of the VM-α-β filters are less than those of conventional α-β filters. Moreover, numerical simulations clarify that the variance of the tracking error of the VM-α-β filters is approximately 3/4 of that of the conventional α-β filters in realistic situations, even when the accuracy of the position/velocity measurements is the same.

Share and Cite:

Saho, K. (2014) Fundamental Properties and Optimal Gains of a Steady-State Velocity Measured α-β Tracking Filter. Advances in Remote Sensing, 3, 61-76. doi: 10.4236/ars.2014.32006.

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