A Random Process Model Useful for Describing Radar Clutter

TL;DR

This paper introduces a mathematical framework using Bernstein functions and Levy processes to model and simulate the instantaneous power of radar clutter as a compound-Gaussian process, aiding radar signal analysis.

Contribution

It provides a novel mechanism for defining and simulating a compound-Gaussian random process for radar clutter modeling.

Findings

Sample paths of the process are demonstrated.

The model offers a new way to simulate radar clutter.

The approach links advanced mathematical functions to practical radar signal modeling.

Abstract

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.