The Generation of Correlated Log-Normal Clutter for Radar Simulations

From a set of N statistically independent Gaussian random variables, N correlated log-normal random variables may be generated to represent the amplitude of correlated clutter signals. Means are developed to realize specified mean value and covariance matrices of the desired clutter correlated log-normal variables. The realization is in the form of a weighting matrix to produce a set of correlate Gaussian random variables which become log-normal after a suitable nonlinear transformation.