Digital Communications Using Chaos and Nonlinear Dynamics

1. Front Matter

   Pages I-XIV

   PDF

2. An Overview of Digital Communications Techniques Using Chaos and Nonlinear Dynamics

   • Lawrence E. Larson, Lev S. Tsimring, Henry D. I. Abarbanel, Jia-Ming Liu, Kung Yao, Alexander R. Volkovskii et al.

   Pages 1-27

3. Digital Communication Using Self-Synchronizing Chaotic Pulse Position Modulation

   • Nikolai F. Rulkov, Alexander R. Volkovskii, Michail M. Sushchik, Lev S. Tsimring, Lucas Illing

   Pages 29-57

4. Spread Spectrum Communication with Chaotic Frequency Modulation

   • Alexander R. Volkovskii, Lev S. Tsimring, Nikolai F. Rulkov, Ian Langmore, Stephen C. Young

   Pages 59-89

5. Ultra-Wideband Communications Using Pseudo-Chaotic Time Hopping

   • David C. Laney, Gian Mario Maggio

   Pages 91-132

6. Optimum Spreading Sequences for Asynchronous CDMA System Based on Nonlinear Dynamical and Ergodic Theories

   • Kung Yao, Chi-Chung Chen

   Pages 133-161

7. Nonlinear Phenomena in Turbo Decoding Algorithms

   • Ljupco Kocarev

   Pages 163-190

8. Security of Chaos-Based Communication and Encryption

   • Roy Tenny, Lev S. Tsimring, Henry D. I. Abarbanel, Lawrence E. Larson

   Pages 191-229

9. Random Finite Approximations of Chaotic Maps

   • Jesús Urías, Eric Campos, Nikolai F. Rulkov

   Pages 231-242

10. Numerical Methods for the Analysis of Dynamics and Synchronization of Stochastic Nonlinear Systems

    • How-Foo Chen, Jia-Ming Liu

    Pages 243-284

11. Dynamics and Synchronization of Semiconductor Lasers for Chaotic Optical Communications

    • Jia-Ming Liu, How-Foo Chen, Shuo Tang

    Pages 285-340

12. Performance of Synchronized Chaotic Optical Communication Systems

    • Shuo Tang, How-Foo Chen, Jia-Ming Liu

    Pages 341-378

13. Back Matter

    Pages 379-382

    PDF

This book provides a summary of the research conducted at UCLA, Stanford University, and UCSD over the last ?ve years in the area of nonlinear dyn- ics and chaos as applied to digital communications. At ?rst blush, the term “chaotic communications” seems like an oxymoron; how could something as precise and deterministic as digital communications be chaotic? But as this book will demonstrate, the application of chaos and nonlinear dynamicstocommunicationsprovidesmanypromisingnewdirectionsinareas of coding, nonlinear optical communications, and ultra-wideband commu- cations. The eleven chapters of the book summarize many of the promising new approaches that have been developed, and point the way to new research directions in this ?eld. Digital communications techniques have been continuously developed and re?ned for the past ?fty years to the point where today they form the heart of a multi-hundred billion dollar per year industry employing hundreds of thousands of people on a worldwide basis. There is a continuing need for transmission and reception of digital signals at higher and higher data rates. There are a variety of physical limits that place an upper limit on these data rates, and so the question naturally arises: are there alternative communi- tion techniques that can overcome some of these limitations? Most digital communications today is carried out using electronic devices that are essentially “linear,” and linear system theory has been used to c- tinually re?ne their performance. In many cases, inherently nonlinear devices are linearized in order to achieve a certain level of linear system performance.

• Liu
• Modulation
• Signal
• Springer Complexity
• Tsimring
• algorithm
• algorithms
• calculus
• chaos
• communication
• electrical engineering
• information
• nonlinear dynamics
• numerical methods

• Department of Electrical and Computer Engineering, University of California, San Diego La Jolla, USA

  Lawrence E. Larson

• Institute for Nonlinear Science, University of California, San Diego La Jolla, USA

  Lev S. Tsimring

• Department of Electrical Engineering, University of California, Los Angeles, USA

  Jia-Ming Liu

Policies and ethics