Title :
Generalized frequency modulation
Author :
Torres, Wade P. ; Oppenheim, Alan V. ; Rosales, Rodolfo Ruben
Author_Institution :
Res. Lab. of Electron., MIT, Cambridge, MA, USA
Abstract :
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.
Keywords :
chaotic communication; demodulation; demodulators; frequency modulation; nonlinear dynamical systems; relaxation oscillators; Van der Pol oscillator; carrier waves; chaotic systems; demodulation; demodulators; dynamical systems; generalized frequency modulation; modulators; state trajectories; Additive noise; Chaos; Chaotic communication; Collaborative work; Demodulation; Frequency modulation; Laboratories; Mathematics; Noise robustness; Oscillators;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2001.972847