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Chaotic electronics in telecommunications
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Chaotic electronics in telecommunications

Auteur : Michael Peter Kennedy; Riccardo Rovatti; Gianluca Setti
Éditeur : Boca Raton : CRC Press, ©2000.
Édition/format :   Livre : AnglaisVoir toutes les éditions et les formats
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Détails

Format : Livre
Tous les auteurs / collaborateurs : Michael Peter Kennedy; Riccardo Rovatti; Gianluca Setti
ISBN : 0849323487 9780849323485
Numéro OCLC : 43937009
Description : 445 p. : ill. ; 27 cm.
Contenu : 1.2 What is Chaos? 2 --
I Chaos at Code Level 5 --
2 Introduction to DS-CDMA 7 --
2.2 Spread Spectrum Concept 8 --
2.2.1 Frequency Hopping 8 --
2.2.2 Time Hopping 10 --
2.2.3 Direct Sequence 10 --
2.3 Spreading Codes and Environments 12 --
2.3.1 Short and Long Sequences 13 --
2.3.2 Chip Waveform 17 --
2.3.3 Near Far Problem, Soft Degradation and Voice Activity Factor 20 --
2.3.4 From SIR to Bit Error Probability: The Standard Gaussian Approximation 22 --
2.4 Synchronization 23 --
2.4.1 Serial Search 23 --
2.4.2 Parallel Search 24 --
2.5 Advanced Topics on DS-CDMA 25 --
2.5.1 Serial Canceller 26 --
2.5.2 Parallel Canceller 28 --
3 Chaos-Based Asynchronous DS-CDMA Systems 33 --
3.2 Channels and System Model 36 --
3.2.1 Transmission Over a Selective Fading Channel 36 --
3.2.2 System with Non-Selective Channel 40 --
3.3 Sequences Generation with Chaotic Maps 40 --
3.3.1 Perron-Frobenius Operator: A Tool for Studying Chaos with Densities 41 --
3.3.2 Correlations of Quantized Chaotic Trajectories 46 --
3.3.3 Specialization to Piecewise Affine Markov Maps 47 --
3.3.4 Case of (n,t)-Tailed Shifts 53 --
3.3.5 Application to DS-CDMA Systems 57 --
3.4 Performance Over a Non-Selective Channel 60 --
3.4.1 Numerical Results 62 --
3.4.2 Nearly Optimal Performance Over a Non-Selective Channel 63 --
3.5 Performance Over a Selective Fading Channel 66 --
3.5.1 Numerical Results 69 --
4 Information Sources Using Chaotic Dynamics 81 --
4.2 Information Sources and Markov Chains 82 --
4.2.1 A Model for a Communication System 82 --
4.2.2 Kalman's Markov Map and Markov Information Sources 83 --
4.3 How to Generate Sequences of Random Variables 90 --
4.3.1 Bernoulli Shift and Rademacher Function 90 --
4.3.2 EDP and CSP 93 --
4.3.3 Design of Sequences of p-Ary Random Variables 100 --
4.3.4 Correlational Properties of Sequences of Real-Valued Random Variables 104 --
4.4 Applications to Communication Systems 110 --
4.4.1 Stream Cipher System 110 --
4.4.2 Image Transmission Using SS Techniques 112 --
4.4.3 Interference Properties 116 --
II Chaos at Signal Level 129 --
5 Overview of Digital Communications 131 --
5.3 Digital Communications System: Structure 132 --
5.2.1 Minimum Requirements for a Channel Model 133 --
5.2.2 Performance Measures 135 --
5.2.3 Factors Affecting the Choice of Modulation Scheme 136 --
5.3 Modulation and Demodulation: The Basis Function Approach 136 --
5.3.1 Orthonormal Basis Functions 136 --
5.3.2 Signal Set Generation 137 --
5.3.3 Recovery of the Signal Vector by Correlation 137 --
5.3.4 Orthonormal Basis Functions for Bandwidth Efficiency 138 --
5.4 Detection of a Single Symbol in Noise: Basic Receiver Configurations 138 --
5.4.1 Correlation and Matched Filter Receivers 139 --
5.4.2 Coherent and Noncoherent Receivers 140 --
5.5 Example: BPSK with Coherent Detection 141 --
5.6 Synchronization in Digital Communications 144 --
5.6.1 Carrier Recovery and Timing Recovery 144 --
5.6.2 Advantages and Disadvantages of Synchronization 145 --
6 Chaotic Modulation Schemes 151 --
6.2 Digital Communications Using Chaos 152 --
6.3 Chaotic Modulation 153 --
6.4 Chaos Shift Keying 153 --
6.4.1 CSK Modulation with One Basis Function 155 --
6.4.2 Demodulation of CSK with One Basis Function 156 --
6.4.3 CSK Modulation with Two Basis Functions 159 --
6.4.4 Demodulation of CSK with Two Basis Functions 160 --
6.4.5 Role of Chaotic Synchronization in Coherent Correlation Receivers 161 --
6.5 Differential Chaos Shift Keying 163 --
6.5.1 DCSK Modulation 163 --
6.5.2 DCSK Demodulation 164 --
6.5.3 Qualitative Advantages of DCSK Over CSK 166 --
6.5.4 Estimation Problem 167 --
6.5.5 FM-DCSK 169 --
6.6 Chaotic Communication Architectures: A Qualitative Comparison 171 --
6.6.1 Noncoherent Correlation Receiver 172 --n 6.6.2 Coherent Correlation Receiver with Chaotic Synchronization 173 --
6.6.3 Differentially Coherent DCSK and FM-DCSK Receivers 175 --
6.6.4 Coherent CSK versus DCSK and FM-DCSK 176 --
6.7 Noise Performance 176 --
7 Performance Evaluation of FM-DCSK 185 --
7.2 Spectrum of Transmitted FM-DCSK Signal 187 --
7.2.1 Fast and Slow Spreading Techniques 187 --
7.2.2 Differences Between Fast and Slow FM-DCSK Systems 189 --
7.3 Tools for System Performance Evaluation 190 --
7.3.1 Determination of Low-Pass Equivalent Model 191 --
7.3.2 Simulation in the Discrete-Time Domain 199 --
7.3.3 FM-DCSK Simulation in a Matlab Environment 200 --
7.3.4 Verification of the FM-DCSK Simulator 201 --
7.4 Noise Performance of FM-DCSK 203 --
7.4.1 Relationship between SNR and BER 204 --
7.4.2 Noise Performance in an AWGN Channel 204 --
7.4.3 Effect of Main System Parameters on Noise Performance 205 --
7.5 Operation in a Multipath Environment 208 --
7.5.1 Model of Multipath Channel 209 --
7.5.2 Qualitative Behavior of FM-DCSK in a Two-Ray Multipath Channel 210 --
7.5.3 Quantitative Behavior of FM-DCSK in a Two-Ray Multipath Channel 212 --
7.5.4 Quantitative Behavior of the FM-DCSK in a Multi-Ray Multipath Channel 215 --
8 Noise Filtering in Chaos-Based Communication 221 --
8.2 Chaos-Based Communication 223 --
8.2.1 Classes of Chaos-Based Schemes 224 --
8.2.2 Channel Noise 227 --
8.2.3 Role of Noise Reduction 229 --
8.3 Noise Reduction 230 --
8.3.1 Problem Definition 230 --
8.3.2 Parallel Solution of the Noise Reduction Problem 231 --
8.3.3 Iterative Solution of the Noise Reduction Problem 234 --
8.3.4 Implementation 238 --
8.4 Explicit and Implicit Application 244 --
8.4.1 Explicit Noise Pre-Filtering 244 --
8.4.2 Implicit Noise Filtering 247 --
9 Statistical Analysis and Design of Chaotic Systems 253 --
9.2 Statistical Analysis of Discrete Time Chaotic Systems 254 --
9.2.1 Function Space Description 254 --
9.2.2 Frobenius-Perron Operator 258 --
9.2.3 Conjugated System 260 --
9.2.4 Markov Maps - A Chaotic System Model Class 263 --
9.2.5 Polynomial Eigenspace Analysis 264 --
9.2.6 Expectation Values 267 --
9.3 System Design 269 --
9.3.1 Prescribed Density Function 269 --
9.3.2 Prescribed Correlation Function 271 --
9.4 Generator Implementation Based on Piecewise Linear Maps 273 --
9.4.1 System Structure 273 --
9.4.2 Synthesis of Piecewise Linear Maps 275 --
9.4.3 Integrated Circuit Design Example 278 --
9.5 Chaotic Encryption Systems 278 --
9.5.1 Statistical Design Approach 279 --
9.5.2 A Simple Example 284 --
9.5.3 Cryptographical Analysis 286 --
9.6 Statistical Analysis of Chaotic Signal Processing Schemes 289 --
9.6.1 Digital Chaotic Communications - The Processing of Random Signals 290 --
9.6.2 Statistics of Random Variables and Processes and Their Nonlinear Transformations 291 --
9.6.3 Analysis of Communication Schemes 295 --
III Chaos at Hardware Level 307 --
10 Applications and Architectures for Chaotic ICs: An Introduction 309 --
10.2 Application Scenarios for Chaotic Integrated Circuits: An Overview 310 --
10.2.1 Emulation of Living Beings 310 --
10.2.2 Neural Computation 311 --
10.2.3 Instrumentation Systems 315 --
10.2.4 Analog Signal Processing and Control 316 --
10.2.5 Communication Systems 317 --
10.3 Mathematical Models for Chaotic Circuits in ICs 319 --
10.3.1 Systems Based on Finite-Difference Equations: Discrete Maps 319 --
10.3.2 Systems Based on Ordinary Differential Equations 320 --
10.4 Architectures and Concepts for Chaotic ICs 321 --
10.4.1 Signal Weighting for ODE-Based Chaotic ICs 321 --
10.4.2 Integrators 328 --
10.4.3 Scaling and Delay for FDE-Based Chaotic ODEs 329 --
10.4.4 Nonlinearities 331 --
10.4.5 Piecewise-Linear Behaviours 331 --
10.4.6 Continuous Nonlinear Behaviours 332 --
11 Chaos-Based Noise Generation in Silicon 343 --
11.2 Discrete-Time Chaos Generators 346 --
11.3 Linear Operators for Discrete Maps 354 --
11.3.1 Switched-Capacitor Linear Operators 356 --
11.3.2 Switched-Current Linear Operators 365 --
11.4 Piecewise-Linear Operators for Discrete Maps 371 --
11.4.1 PWL Shaping of Voltage to Charge Transfer Characteristics 371 --
11.4.2 PWL Shaping in Current-Mode Domain 374 --
11.5 Integrated Discrete Maps 377 --
11.5.1 Bernoulli Map 378 --
11.5.2 Tent Map 384 --
12 Robustness of Chaos in Analog Implementations 397 --
12.1.1 Chaos and Analog Design 398 --
12.1.2 Estimation of Yield in Chaotic Circuits 399 --
12.1.3 Continuity Assumption 400 --
12.1.4 Aim of This Chapter 401 --
12.2 Robustness and Chaotic Maps 402 --
12.2.1 System Definition 402 --
12.2.2 A Few Mathematical Definitions 403 --
12.2.3 Some Robustness Issues to Consider 404 --
12.3 Robust Implementation of Chaotic Maps 421 --
12.3.1 Architecture 423 --
12.3.2 Design Blocks 423 --
12.4 An Example of Sensitivity Analysis 430 --
12.5 Robustness and Topological Conjugation 431 --
12.5.1 Perturbation Model 433 --
12.5.2 A Formalization of Stochastic Robustness 435 --
12.5.3 Topological Conjugation Propagates Robustness 435.
Responsabilité : edited by Michael Peter Kennedy, Riccardo Rovatti, Gianluca Setti.
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