A hybrid method for generating correlated Gamma sequences for sea-clutter simulation

This paper presents a hybrid method for simulating sequences of correlated Gamma random variables for modelling sea-clutter, using a combination of linear and/or nonlinear transforms. Depending on the shape parameter, this method minimises the use of non-linear transforms. Mathematically the method is simpler than its counterpart methods. Two memoryless nonlinear transform (MNLT) approaches are studied with comparative results showing that the hybrid approach is more computationally efficient and slightly more accurate for low shape parameters. Necessary conditions of realisable correlation (bounded to physics and independent of simulation methods) are given. The drawback of the proposed method is, however, that it can only handle positive correlations whilst the two MNLT methods are capable of handling both positive and negative correlations.