On the analysis of moving patterns in geophysics--I. Correlation analysis

Physics

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Scientific paper

The analysis of a moving random pattern is considered for the case where the whole pattern can be recorded. The pattern is assumed to have a certain mean velocity, and also to change randomly in form as it moves. It is shown how the velocity of movement, as well as parameters describing the spatial properties and the random changes, can be derived from two observations of the pattern separated by a known time interval. The determination of the velocity does not depend on the assumption that the spatial and temporal correlation functions have the same shape. If several observations of the pattern are made, separated by different time intervals, then the temporal correlation function of the random changes alone can be determined. The results should have applications to radio experiments using large aerial arrays for observations of ionospheric drifts, to photographic observations of moving patterns of light emission from the night sky, and to other similar phenomena.

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