Application of 1D Non-autonomous Chaotic System Synchronization for Bistatic Radar System

This work reports the potential of first-order, non-autonomous chaotic circuits for bistatic radar configurations. Unlike most chaotic systems, 1D chaotic systems offer closed-form analytic solutions that aid in designing a simple matched filter. In this work, a signal generated by a 1D chaotic system is transmitted to both a receiver and a target. This transmitted waveform can be used for two purposes. First, the waveform serves to synchronize the bistatic radar receiver. Second, the waveform assists in acquiring an estimate of the target’s range. Despite being non-autonomous (having an external source), we show that two 1D chaotic circuits can be synchronized using a simple resistive coupling. The cross-correlation between the two synchronized circuits is of high quality and exhibits a narrow main lobe width and low sidelobe levels. Consequently, these systems can generate high-range resolution profiles in bistatic configurations. Lastly, we show that the cross-ambiguity function between the echo received from the target and synchronized waveforms yields a near thumb-tack shape, indicating the value of a noise-like waveform for ranging applications.