Forward Error Correction Based On Algebraic-Geometric Theory

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.

List of contents

1 Introduction.- 2 Theoretical Background.- 3 Literature Review.- 4 Algebraic-Geometric Non-Binary Block Turbo Codes.- 5 Irregular Decoding of Algebraic-Geometric Block Turbo Codes.- 6 Conclusions.

Summary

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.

Product details

• Authors: Jafa A Alzubi, Jafar A Alzubi, Oma A Alzubi, Omar A Alzubi, Jafar A. Alzubi, Omar A. Alzubi, Jafar Alzubi, Jafar A. Alzubi, Omar Alzubi, Omar A. Alzubi, Thomas M. Chen, Thomas M Chen, Thomas M. Chen
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 26.05.2014
• EAN: 9783319082929
• ISBN: 978-3-31-908292-9
• No. of pages: 70
• Dimensions: 165 mm x 239 mm x 7 mm
• Weight: 143 g
• Illustrations: XII, 70 p. 33 illus., 20 illus. in color.
• Series: SpringerBriefs in Electrical and Computer Engineering; SpringerBriefs in Electrical and Computer Engineering
• Subjects: Guides > Hobby, home; Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; C, Informationstheorie, Theoretische Informatik, engineering, Electrical Engineering, Mathematical Applications in Computer Science, Communications Engineering, Networks, Coding and Information Theory, Information theory, Coding theory & cryptology, Applied mathematics, Coding theory, Information and Communication, Circuits