The investigation of motion guidance and its subsequent application using tau () theory relies on the accurate calculation of the coupling term between the (time to contact) of the motion and the appropriate guide. However, the traditional approach for this calculation can be numerically unstable, requires experience and skill to execute in a meaningful manner, is sensitive to the data selected, and has limited application when the motion information is incomplete or deviates from the ideal. To deal with these issues, a new approach, based on positive wavelet analysis, is proposed in this paper. The mother wavelet is constructed using the desired -guide shapes, with its scale considered to be defined by the maneuver period. The scale and time information of interest are found by searching for the best local correlation within the whitened original signal. An inverse dewhitening process is then used to reconstruct an approximation to the original motion signal. The adequacy of the positive wavelet method has been demonstrated using data obtained from piloted simulation test campaigns. The results show that the approach is not only feasible, but it has better numerical stability, reliability, enhanced performance, and wider applicability than those that have been used to date.
Tau Coupling Investigation Using Positive Wavelet Analysis
Journal of Guidance, Control, and Dynamics ; 36 , 4 ; 920-934
2013-05-22
15 pages
Article (Journal)
Electronic Resource
English
Tau Coupling Investigation Using Positive Wavelet Analysis
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