Design of spread-spectrum sequences using chaotic dynamical systems and ergodic theory

Author

Chen, Chi-Chung ; Yao, Kung ; Umeno, Ken ; Biglieri, Ezio

Author_Institution

Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

Volume

48

Issue

9

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

1110

Lastpage

1114

Abstract

A new design methodology for the design of optimal spread-spectrum sequences for asynchronous code-division multiple access (A-CDMA) and chip-synchronous CDMA (CS-CDMA) systems is proposed. We derive general results on the partial auto-correlation function of the optimal spreading sequences for CS-CDMA and A-CDMA systems with respect to the minimization of the average bit error rate under the standard-Gaussian-approximation condition without assuming the spreading sequences as independent stationary random processes. Based on the ergodic theory, a practical implementation of the optimal spreading sequence by using chaotic dynamical systems with Lebesgue spectrum is provided and the corresponding system performance is analyzed

Keywords

chaos; code division multiple access; sequences; spread spectrum communication; statistical mechanics; Lebesgue spectrum; asynchronous CDMA; bit error rate; chaotic dynamical system; chip-synchronous CDMA; design methodology; ergodic theory; partial auto-correlation; spread spectrum sequence; standard Gaussian approximation; Autocorrelation; Binary sequences; Bit error rate; Chaos; Chaotic communication; Multiaccess communication; Multiple access interference; Random processes; Spread spectrum communication; System performance;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.948438

Filename

948438