A Probabilistic Conflict Detection Algorithm in Terminal Area Based on Three-Dimensional Brownian Motion
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.
probabilistic conflict detection air traffic controllers terminal area three-dimensional Brownian motion
Lei Shi Renbiao Wu
School of Electronic Information Engineering, Tianjin University, Tianjin, China ;Tianjin Key Lab fo Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China, Tianjin, China
国际会议
2012 IEEE 11th International Conference on Signal Processing (第11届IEEE信号处理国际会议)
北京
英文
2287-2291
2012-10-21（万方平台首次上网日期，不代表论文的发表时间）