Forward Error Correction Based On Algebraic-Geometric Theory

• Main Authors: A. Alzubi, Jafar (Author), A. Alzubi, Omar (Author), M. Chen, Thomas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Electrical and Computer Engineering,
• Subjects: Engineering.; Coding theory.; Information theory.; Electrical engineering.; Communications Engineering, Networks.; Coding and Information Theory.; Information and Communication, Circuits.
• Physical Description: XII, 70 p. 33 illus., 20 illus. in color. online resource.
• ISBN: 9783319082936
• ISSN: 2191-8112

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.