Novel Radar Signal with Chaotic Behaviour for Better Decide on the Presence of Targets

Abstract

This paper is a preliminary investigation of a class of radar signals generated by recursively defined functions. Signals are of fundamental
importance in radar, since a radar system uses transmitted and returned signals from the environment to decide on the presence of targets, as well as
their range and speed. The issue of an appropriate choice of signal is complex, and application dependent. This paper is a brief simulation of a new
class of signals based chaos theory. Such signals may be of importance in radar for a number of reasons. The first is that they are generated from
a deterministic map, but can be made to appear as noise. This would be useful from an electronic protection point of view. Secondly, since these
signals can be generated from a single dynamical system, with different control parameters and initial conditions, it may be possible to reduce the
need for a comprehensive library of signals in a radar system. The generation of such signals, as a discrete time dynamical system, will be outlined.
We investigate the stability of such signals, using the Lyapunov spectrum. The radar ambiguity function is used to decide whether this signal is
practical use in radar.