Generalized frequency modulation

Author

Torres, Wade P. ; Oppenheim, Alan V. ; Rosales, Rodolfo Ruben

Author_Institution

Res. Lab. of Electron., MIT, Cambridge, MA, USA

Volume

48

Issue

12

fYear

2001

Firstpage

1405

Lastpage

1412

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;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2001.972847

Filename

972847