USA As Represented by Secretary of the Navy

Aimee M Ross

Francis J O'Brien, Jr

Nathan Johnnie

A computer-implemented method to characterize a signal structure is provided. The method may receive a first set of time-dependent data vectors; select a sample size of data vectors; determine a minimum number of lags to process to characterize the first set of data vectors; calculate a cross-product term for each data vector in the sample size for each lag, a mean value and a variance value based on the sum of the cross-product term for each lag; calculate a circular correlation function for each lag; determine an upper and a lower correlation bound for the circular correlation based on the mean value, the variance value, and a desired false alarm rate; and characterize the signal structure based on the number of calculated circular correlation functions that exceed the upper or lower correlation bounds so as to generate a signal characterization data signal.

System and method of use for non-parametric circular autocorrelation for signal processing

A method is provided for characterizing data sets containing data points. The method can characterize the data sets as random or as non-random. In the method, a convex hull envelope is constructed which contains the data points and passes through at least four non-coplanar data points. The convex hull envelope is partitioned into cells. The method classifies the data set as a sized sample. Based on the classification, a predetermined set of tests is selected for operating on the data set.

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Aimee M Ross