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Forward Error Correction Based On Algebraic-Geometric Theory

  • Book
  • © 2014

Overview

Authors:
  1. Jafar A. Alzubi

    1. Faculty of Engineering, Al-Balqa Applied University, Al-Salt, Jordan

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  2. Omar A. Alzubi

    1. Prince Abdullah Ben Ghazi Faculty of Information and Technology, Al-Balqa Applied University, Al-Salt, Jordan

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    You can also search for this author in PubMed   Google Scholar

  3. Thomas M. Chen

    1. School of Mathematics, Computer Science and Engineering, City University London, Northampton Square, United Kingdom

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  • Covers the design, construction and implementation of algebraic-geometric codes from Hermitian curves
  • Offers algebraic-geometric block turbo codes
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Electrical and Computer Engineering (BRIEFSELECTRIC)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 1-7

  3. Theoretical Background

    • Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 9-29

  4. Literature Review

    • Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 31-39

  5. Algebraic-Geometric Non-binary Block Turbo Codes

    • Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 41-55

  6. Irregular Decoding of Algebraic-Geometric Block Turbo Codes

    • Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 57-68

  7. Conclusions

    • Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 69-70
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Keywords

About this book

This book covers the design, construction, and implementation of algebraic-geometric codes from Hermitian curves. Matlab simulations of algebraic-geometric codes and Reed-Solomon codes compare their bit error rate using different modulation schemes over additive white Gaussian noise channel model. Simulation results of Algebraic-geometric codes bit error rate performance using quadrature amplitude modulation (16QAM and 64QAM) are presented for the first time and shown to outperform Reed-Solomon codes at various code rates and channel models. The book proposes algebraic-geometric block turbo codes. It also presents simulation results that show an improved bit error rate performance at the cost of high system complexity due to using algebraic-geometric codes and Chase-Pyndiah’s algorithm simultaneously. The book proposes algebraic-geometric irregular block turbo codes (AG-IBTC) to reduce system complexity. Simulation results for AG-IBTCs are presented for the first time.

Authors and Affiliations

  • Faculty of Engineering, Al-Balqa Applied University, Al-Salt, Jordan

    Jafar A. Alzubi

  • Prince Abdullah Ben Ghazi Faculty of Information and Technology, Al-Balqa Applied University, Al-Salt, Jordan

    Omar A. Alzubi

  • School of Mathematics, Computer Science and Engineering, City University London, Northampton Square, United Kingdom

    Thomas M. Chen

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