Abstract: A method for spectrum analysis by complex cumulants comprises the steps of eceiving a signal, Fourier transforming the signal to form a series of complex Fourier coefficients, forming complex cumulants from the series of complex Fourier coefficients, and displaying the cumulants in a form wherein the non-Gaussian components of the signal are emphasized.

Abstract: A data analysis system accepts time related data samples which are develo from sets of common wavefronts incident upon a plurality of sensors. The data samples are converted from analog-to-digital form and the Fourier transforms relative to the frequency components are generated. The frequency components of the Fourier transforms are in turn cross-correlated for developing matrices of all possible correlations for each frequency component and then the matrices are integrated over a determinable time period. The resultant integrated matrices are compared with signals representative of an incident plane wave power as a function of its angles of arrival at a sensor array and of its frequency, producing output signals of relative strength indicative of the direction of the origin of the data samples.