Amplitude Insensitive Synchronization of Nonlinear Systems

摘要

The present invention is an amplitude insensitive synchronized nonlinear system (AISN) which allows communication between nonlinear systems operating in the chaotic realm which is largely insensitive to attenuation or signal noise affecting the amplitude of the drive signal, thereby allowing communication between remote systems where the amplitude of the transmitted signal has been varied by an unknown amount. AISN comprises a transmitter system (drive) grouped into linear or scale invariant nonlinear subsystems, the output of the first driving the second, both amplitude insensitive in operation. The signal produced by the second subsystem is then used to drive a amplitude dependent nonlinear function. The amplitude dependent nonlinear function is designed to have characteristics that ensure a plot of its input vs. output can be related at the same reference point. The chaotic transmitter signal produced by the amplitude dependent function is then transmitted to a nonlinear cascaded receiver. AISN employs a receiver (response) which comprises subsystems which are duplicates of the transmitters scale invariant nonlinear subsystems arranged to be responsive to the AISN transmitter. Synchronization is confirmed by sampling the value of the transmitted signal. When the input to the receiver and the output pass through known reference points at the same time, then the transmitter and receiver are known to be synchronized. Information may be encoded by making the output from the receiver go out of synchronization with the input by altering the transmitted signal.