Generalized Frequency Modulation

A generalization of frequency modulation is developed in which state trajectories of dynamical systems are used as carrier waves. Our focus is on the design and analysis of modulators and demodulators for such generalized frequency modulation systems. In particular, we show that for a class of dynamical systems, among which are certain chaotic systems, it is possible to develop a general approach to demodulation. This approach to demodulation results in a systematic procedure for demodulator construction that depends on the underlying dynamical system in a simple manner.