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A probabilistic conflict detection algorithm in terminal area based on three-dimensional Brownian motion

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2 Author(s)
Lei Shi ; Sch. of Electron. Inf. Eng., Tianjin Univ., Tianjin, China ; Renbiao Wu

In this paper, two common encounter geometries of aircrafts in terminal area are discussed. Probabilistic modes for aircraft motions are developed based on three-dimensional Brownian motion. The two common encounter geometries can be expressed in the same formula. After the non-orthogonal and orthogonal transformations, three-dimensional Brownian motion is standardized and the formula is simplified to derive the analytical solution. The conflict probability is equal to the probability that a standard three-dimensional Brownian motion hits a time-varying region. An approximation algorithm is given based on Bachelier-Levy theorem to get the analytical expression of conflict probability.

Published in:

Signal Processing (ICSP), 2012 IEEE 11th International Conference on  (Volume:3 )

Date of Conference:

21-25 Oct. 2012

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