Nonlinear Digital Encoders for Data Communications
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Nonlinear Digital Encoders for Data Communications

Nonlinear Digital Encoders for Data Communications


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About the Book

This book presents digital encoders for data communications. After an introduction on data communications and different sequences, the authors present the frey encoder as a digital filter followed by the trellis-coded and parallel turbo trellis-coded modulation schemes using nonlinear digital encoders. The book contains many numerical examples that complete the description of the analyzed schemes. Also, some performance simulation results are provided. Appendixes include demonstrations for the mathematical apparatus used throughout the book and some Matlab/Simulink source files used to run the simulations. Therefore, students can easily understand the concepts presented in the book and to simulate the schemes.

Table of Contents:
Preface ix Introduction xi Chapter 1. Applications of Nonlinear Digital Encoders 1 1.1. Secure communications using nonlinear digital encoders 1 1.1.1. The general nonlinear digital encoder scheme 3 1.1.2. Quasi-chaotic sequence properties 5 1.1.3. An example of simple nonlinear digital encoder: the Frey chaotic encoder 7 1.1.4. Simulation results revealing the quasi-chaotic properties for the sequences generated using the Frey encoder 9 1.2. Chaotic spreading sequences for direct-sequence code division multiple access 15 1.3. Sequence synchronization in discrete-time nonlinear systems 19 1.3.1. An example of sequence synchronization using the inverse system 19 1.3.2. The dead-beat synchronization method 23 1.3.3. A communication scheme using the dead-beat synchronization 25 Chapter 2. Presentation of the Frey Nonlinear Encoder as a Digital Filter 29 2.1. The mathematical analysis of the Frey encoder 29 2.2. The definitions and properties of the unsigned and 2’s complement signed sample operators 30 2.3. The properties of the LCIRC nonlinear function used in the Frey encoder scheme 38 2.4. The simulation of the Frey sequence generator block in Simulink: some practical considerations 41 2.4.1. The transmitter chaotic sequence generator 41 2.4.2. The receiver chaotic sequence generator and the dead-beat synchronization with the transmitter block 43 2.4.3. The Simulink implementations for the blocks used in the Frey chaotic codec 45 Chapter 3. Trellis-Coded Modulation Schemes Using Nonlinear Digital Encoders 49 3.1. The presentation of the Frey nonlinear encoder as a convolutional encoder 49 3.2. Frey encoder trellis design optimization methods for pulse amplitude – trellis-coded modulation (TCM) schemes 54 3.2.1. Increasing the coding gain by reducing the representation code word length in the input 56 3.2.2. Equivalence between a nonlinear and a linear encoder in a particular case 66 3.2.3. Generalized optimum encoder for a PAM-TCM transmission 69 3.2.4. Increasing the coding gain by increasing the number of outputs 75 3.3. Optimum nonlinear encoders for phase shift keying – TCM schemes 84 3.3.1. Rate-1/2 optimum encoder for a QPSK-TCM transmission 84 3.3.2. Generalized optimum encoder for a PSK-TCM transmission 85 3.4. Optimum nonlinear encoders for quadrature amplitude modulation – TCM schemes 89 3.5. Performance analysis of TCM data communications using modified nonlinear digital encoders: simulation results 91 Chapter 4. Parallel Turbo Trellis-Coded Modulation Schemes Using Nonlinear Digital Encoders 97 4.1. Recursive convolutional-left circulate (RC-LCIRC) encoder in a turbo trellis-coded modulation (TTCM) scheme 97 4.2. New recursive and systematic convolutional nonlinear encoders for parallel TTCM schemes 100 4.3. Punctured TTCM transmissions using recursive systematic convolutional nonlinear encoders 108 4.4. Extrinsic information transfer (EXIT) charts analysis for TTCM schemes using nonlinear RSC encoders 114 4.5. Performance analysis of TTCM data communications using nonlinear digital encoders: simulation results 115 Appendix 133 Bibliography 145 Index 151

About the Author :
Calin Vladeanu is Associate Professor of telecommunications at the University Politehnica of Bucharest, Romania. His current research interests include turbo-coded modulations for wireless communications, applications of nonlinear sequence generators for spreading and channel coding. He is the author of three books (in Romanian) dedicated to CDMA mobile systems. Safwan El Assad is Associate Professor at the University of Nantes, France. His current research interests are in the field of chaos-based exchanged and stored information security, including chaos-based cryptography and crypto-compression systems for secure data transmission and storing, chaos-based watermarking and steganography.


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Product Details
  • ISBN-13: 9781848216495
  • Publisher: ISTE Ltd and John Wiley & Sons Inc
  • Publisher Imprint: ISTE Ltd and John Wiley & Sons Inc
  • Height: 236 mm
  • No of Pages: 151
  • Returnable: N
  • Weight: 454 gr
  • ISBN-10: 1848216491
  • Publisher Date: 28 Feb 2014
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 20 mm
  • Width: 160 mm


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