Chaos communication over noisy channels

被引:73
作者
Hasler, M [1 ]
Schimming, T [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Swiss Fed Inst Technol, Dept Elect Engn, CH-1015 Lausanne, Switzerland
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 04期
关键词
D O I
10.1142/S0218127400000505
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of transmitting digital information using chaotic signals over a channel with Gaussian white noise perturbation is introduced rigorously. It is shown that discrete time baseband chaotic communication systems with discrete time Gaussian white noise in the channel are sufficiently general in this context. The optimal receiver is given explicitly in terms of conditional probabilities. For the example of chaos shift keying using iterations of the tent map, the optimal classifier is constructed explicitly. Finally it is shown how previously published methods, in particular those based on chaos synchronization, fit into this framework.
引用
收藏
页码:719 / 735
页数:17
相关论文
共 20 条
[1]  
Abel A, 1998, ISCAS '98 - PROCEEDINGS OF THE 1998 INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-6, pC465
[2]  
Afraimovich V. S., 1986, Radiophysics and Quantum Electronics, V29, P795, DOI 10.1007/BF01034476
[3]  
BELSKY YL, 1993, RADIOTEKH ELEKTRON+, V38, P1310
[4]  
Dedieu H, 2000, CONTROLLING CHAOS AND BIFURCATIONS IN ENGINEERING SYSTEMS, P457
[5]   CHAOS SHIFT KEYING - MODULATION AND DEMODULATION OF A CHAOTIC CARRIER USING SELF-SYNCHRONIZING CHUA CIRCUITS [J].
DEDIEU, H ;
KENNEDY, MP ;
HASLER, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10) :634-642
[6]  
Dixon R. C., 1994, Spread Spectrum systems with Commercial Applications, V3rd
[7]   STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].
FUJISAKA, H ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47
[8]  
GOTZ M, 1997, THESIS TU DRESDEN GE
[9]   ENGINEERING CHAOS FOR ENCRYPTION AND BROAD-BAND COMMUNICATION [J].
HASLER, M .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1995, 353 (1701) :115-126
[10]  
KENNEDY MP, 1997, IEEE T CIRCUITS SYST, V44