Bistatic radar chaotic system synchronization

We propose a scheme for bistatic radar that uses a three-dimensional chaotic system to generate a wideband signal that is replicated at the receiver to extract high resolution information from targets. The setup for the bistatic radar includes a drive oscillator at the transmitter and a response oscillator at the receiver. The challenge for this setup is synchronizing the response oscillator of the radar receiver utilizing a scaled version of the transmitted signal that is a function of one drive oscillator state variable where the scaling factor accounts for antenna gain, system losses, and space propagation. Since the scaling factor is not known a priori, the response oscillator must be able to accept the scaled version of the state variable as an input. Thus, we improve upon a generalized projective synchronization technique that introduces a controller variable and a controller parameter into the Lorenz system and show that the synchronization is achievable. We verify through simulations that, once synchronization is achieved, the short-time correlation of the driver and response state variables is high and that this correlation is consistent over long periods of time.