  The problem of three-dimensional (3-D) wind profile prediction is addressed
based a trinion wind model, which inherently reckons the coupling of the three
perpendicular components of a wind field. The augmented trinion statistics are
developed and employed to enhance the prediction performance due to its full
exploitation of the second-order statistics. The proposed trinion domain
processing can be regarded as a more compact version of the existing
quaternion-valued approach, with a lower computational complexity. Simulations
based on recorded wind data are provided to demonstrate the effectiveness of
the proposed methods.

Optimization and Control