Shannon capacity and codes for communicating with a chaotic laser

Author

De Moraes, Renato M. ; Uchôa-Filho, Bartolomeu F. ; Pimentel, Cecilio ; Palazzo, Reginaldo, Jr. ; Leite, José Roberto Rios

Author_Institution

Dept. of Electr. & Comput. Eng., Maryland Univ., College Park, MD, USA

Volume

50

Issue

6

fYear

2002

fDate

6/1/2002 12:00:00 AM

Firstpage

882

Lastpage

887

Abstract

We investigate a method of communicating with chaos described by Hayes, Grebogi, and Ott (19913), which uses the idea of controlling chaos by small perturbations. Although allowing the electronics controlling the output signal to remain at the low-power level, this method unavoidably incurs a capacity loss, which we calculate for a chaotic CO₂ laser model. We first determine an approximation to the laser language, by means of a forbidden set representation, and then find its Shannon (1963) capacity. The results indicate that, since the capacity loss is not significant, the tradeoff is worthwhile. Finally, we point to simple finite-state encoders that satisfy the constraints imposed by the language

Keywords

channel capacity; codes; directed graphs; gas lasers; optical chaos; optical control; optical links; CO₂; Shannon capacity; capacity loss; chaos control; chaotic laser communications; chaotic laser model; codes; directed graph; finite-state diagram; finite-state encoders; forbidden set representation; laser language approximation; output signal control; small perturbations; Chaotic communication; Control systems; Cryptography; Differential equations; Digital modulation; Laser modes; Optical control; Optical fiber communication; Orbits; Spread spectrum communication;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2002.1010605

Filename

1010605