本书围绕基于混沌的宽带通信在实际通信环境里的实现为研究目的，总结了作者近年来涉及的嵌入在基于混沌的通信中的最基本问题——混沌信号的重构及其应用的研究成果，覆盖了关于混沌信号重构的基本问题和几个高层次的问题，是一本具有参考价值的英文读本。

本书系统地总结了作者近年来涉及的嵌入在基于混沌的通信中的最基本问题——混沌信号的重构及其应用的研究成果，覆盖了关于混沌信号重构的基本问题和几个高层次的问题。共分为四个层次进行深入的论述：①在无噪声的信道里如何重构原始混沌信号，这是将Takens定理推广到时变的连续时间与离散时间系统；②如何通过噪声污染的混沌信号重构原始混沌系统的动力学；③如何通过噪声污染同时也被信道畸变的混沌信号重构原始混沌系统的动力学；④基于混沌同步的思想重构原始混沌系统的动力学。所有这些问题都是围绕基于混沌的宽带通信在实际通信环境里的实现为研究目的。

该书对于信号与信息处理、非线性电路、通信、智能信息处理和自动化等学科的大专院校高年级学生和有关研究人员具有很强的可读性和重要的参考价值，并能起到抛砖引玉的作用。

Preface

Acknowledgements

1 Chaos and Communications

 1.1 Historical Account

 1.2 Chaos

 1.3 Quantifying Chaotic Behavior

1.3.1 Lyapunov Exponents for Continuous-Time Nonlinear Systems

1.3.2 Lyapunov Exponent for Discrete-Time Systems

1.3.3 Kolmogorov Entropy

1.3.4 Attractor Dimension

 1.4 Properties of Chaos

 1.5 Chaos-Based Communications

1.5.1 Conventional Spread Spectrum

1.5.2 Spread Spectrum with Chaos

1.5.3 Chaotic Synchronization

 1.6 Communications Using Chaos as Carriers

1.6.1 Chaotic Masking Modulation

1.6.2 Dynamical Feedback Modulation

1.6.3 Inverse System Modulation

1.6.4 Chaotic Modulation

1.6.5 Chaos Shift Keying

1.6.6 Differential Chaos Shift Keying Modulation

 1.7 Remarks on Chaos-Based Communications

1.7.1 Security Issues

1.7.2 Engineering Challenges

2 Reconstruction of Signals

 2.1 Reconstruction of System Dynamics

2.1.1 Topological Embeddings

2.1.2 Delay Coordinates

 2.2 Differentiable Embeddings

 2.3 Phase Space Reconstruction--Example

 2.4 Problems and Research Approaches

3 Fundamentals of NeuralNetworks

 3.1 Motivation

 3.2 Benefits of NeuralNetworks

 3.3 Radial Basis Function Neural Networks

3.3.1 Background Theory

3.3.2 Research Progress in Radial Basis Function Networks

 3.4 Recurrent Neural Networks

3.4.1 Introduction

3.4.2 Topology of the Recurrent Networks

3.4.3 Learning Algorithms

4 Signal Reconstruction in Noisefree and Distortionless Channels

 4.1 Reconstruction of Attractor for Continuous Time-Varying Systems

 4.2 Reconstruction and Observability

 4.3 Communications Based on Reconstruction Approach

4.3.1 Parameter Estimations

4.3.2 Information Retrievals

 4.4 Reconstruction of Attractor for Discrete Time-Varying Systems

 4.5 Summary

5 Signal Reconstruction from a Filtering Viewpoint: Theory

 5.1 The Kalman Filter and Extended Kalman Filter

5.1.1 The Kalman Filter

5.1.2 Extended Kalman Filter

 5.2 The Unscented Kalman Filter

5.2.1 The Unscented Kalman Filtering Algorithm

5.2.2 Convergence Analysis for the UKF Algorithm

5.2.3 Computer Simulations

 5.3 Summary

6 Signal Reconstruction from a Filtering Viewpoint: Application

 6.1 Introduction

 6.2 Filtering of Noisy Chaotic Signals

6.2.1 Filtering Algorithm

6.2.2 Computer Simulation

 6.3 Blind Equalization for Fading Channels

6.3.1 Modeling of Wireless Communication Channels

6.3.2 Blind Equalization of Fading Channels with Fixed Channel Coefficients

6.3.3 Blind Equalization for Time-Varying Fading Channels

 6.4 Summary

7 Signal Reconstruction in Noisy Channels

 7.1 Review of Chaotic Modulation

 7.2 Formulation of Chaotic Modulation and Demodulation

 7.3 On-Line Adaptive Learning Algorithm and Demodulation

7.3.1 Description of the Network

7.3.2 Network Growth

7.3.3 Network Update with Extended Kalman Filter

7.3.4 Pruning of Hidden Units

7.3.5 Summary of the Flow of Algorithm

 7.4 Computer Simulation and Evaluation

 7.5 Application to Non-coherent Detection in Chaos-Based Communication

 7.6 Summary

8 Signal Reconstruction in Noisy Distorted Channels

 8.1 Preliminaries

8.1.1 Conventional Equalizers

8.1.2 Reconstruction of Chaotic Signals and Equalization

8.1.3 Recurrent Neural Network and Equalization

 8.2 Training Algorithm

 8.3 Simulation Study

8.3.1 Chaotic Signal Transmission

8.3.2 Filtering Effect of Communication Channels

8.3.3 Results

 8.4 Comparisons and Discussions

 8.5 Summary

9 Chaotic Network Synchronization and Its Applications in Communications

 9.1 Chaotic Network Synchronization

9.1.1 Network Synchronization

9.1.2 Chaos Control

9.1.3 Implementation of the Synchronization Scheme

 9.2 Implementation of Spread-Spectrum Communications

9.2.1 Encoding and Decoding

9.2.2 Test Results for Communications

 9.3 Summary

10 Conclusions

 10.1 Summary of Methods

 10.2 Further Research

Bibliography

Index