The probability of near midair collisions using level-crossings

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The probability of near midair collisions using level-crossings
We consider probabilistic methods to compute the near midair collision risk using state estimate and covariance from a target tracking filter based on angle-only sensors such as digital video cameras. Existing work is only concerned with risk estimation at a certain time instant, while the focus here is to compute the integrated risk over the critical time horizon. This novel formulation leads to evaluating the probability for level-crossing. The analytic expression for this involves a multi-dimensional integral which is hardly tractable in practice. Further, a huge number of Monte Carlo simulations would be needed to get sufficient reliability for the small risks that the applications require. Instead, we propose a sound numerical approximation that leads to a one-dimensional integral which is suitable for real-time implementations.
Per-Johan Nordlund, Fredrik Gustafsson
Added 30 May 2010
Updated 30 May 2010
Type Conference
Year 2008
Authors Per-Johan Nordlund, Fredrik Gustafsson
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