Analog error-correcting codes based on chaotic dynamical systems

Author

Chen, Brian ; Wornell, Gregory W.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA

Volume

46

Issue

7

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

881

Lastpage

890

Abstract

The properties of chaotic dynamical systems make them useful for channel coding in a variety of practical communication applications. To illustrate this, a novel analog code based on tent map dynamics and having a fast decoding algorithm is developed for use on unknown, multiple, and time-varying signal-to-noise ratio (SNR) channels. This code is shown to be an attractive alternative to both digital codes and linear modulation in such scenarios. Several properties and interpretations of the codes are developed, along with some methods for their optimization

Keywords

channel coding; chaos; decoding; error correction codes; fading; nonlinear dynamical systems; state-space methods; time-varying channels; analog error-correcting codes; broadcast channels; channel coding; chaotic dynamical systems; digital codes; fading; fast decoding algorithm; linear modulation; low delay communication; multiple channels; nonlinear state-space system; optimization; practical communication applications; signal-to-noise ratio; tent map dynamics; time-varying SNR channels; AWGN; Channel coding; Chaos; Chaotic communication; Decoding; Error correction codes; Fading; Modulation coding; Signal to noise ratio; Transmitters;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.701312

Filename

701312