We use the theory of Bernstein functions, completely monotonic functions, and Levy processes to define a positive random process $\tau(t)$. For radar clutter one may think of $\tau(t)$ as the instantaneous power of the scattered radar signal that is described by a compound-Gaussian model. Thus the results herein give a mechanism for defining and simulating a compound-Gaussian random process that can be used in various radar studies. We give several examples of the sample paths of this process.
Categories: eess.SP math.PR