Forward Error Correction Based On Algebraic-Geometric Theory

  • Jafar A. Alzubi
  • Omar A. Alzubi
  • Thomas M. Chen

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 1-7
  3. Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 9-29
  4. Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 31-39
  5. Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 41-55
  6. Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 57-68
  7. Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
    Pages 69-70

About this book

Introduction

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.

Keywords

Algebraic-geometric Codes Algebraic-geometric Irregular Bit Error Rate (BER) Performance Block Turbo Codes (AG-IBTC) Quadrature Amplitude Modulation QAM Reed-Solomon

Authors and affiliations

  • Jafar A. Alzubi
    • 1
  • Omar A. Alzubi
    • 2
  • Thomas M. Chen
    • 3
  1. 1.Faculty of Engineering, Al-Balqa Applied UniversityAl-SaltJordan
  2. 2.Prince Abdullah Ben Ghazi Faculty of Information and Technology, Al-Balqa Applied UniversityAl-SaltJordan
  3. 3.School of Mathematics, Computer Science and Engineering, City University LondonNorthampton SquareUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08293-6
  • Copyright Information The Author(s) 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-08292-9
  • Online ISBN 978-3-319-08293-6
  • Series Print ISSN 2191-8112
  • Series Online ISSN 2191-8120
  • About this book