Forward Error Correction Based On Algebraic-Geometric Theory

2014
ISBN: 978-3-319-08292-9
Verlag: Springer International Publishing

Buch, Englisch, 70 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1416 g

Reihe: SpringerBriefs in Electrical and Computer Engineering

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.

Zielgruppe

Research

Autoren/Hrsg.

A. Alzubi, Jafar

M. Chen, Thomas

A. Alzubi, Omar

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Signalverarbeitung

Inhaltsverzeichnis

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.