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Forward Error Correction Based on Algebraic-Geometric Theory

Forward Error Correction Based on Algebraic-Geometric Theory

Paperback

Series: Springerbriefs in Electrical and Computer Engineering

Technology & EngineeringGeneral ComputersGeneral Mathematics

ISBN10: 3319082922
ISBN13: 9783319082929
Publisher: Springer Nature
Published: Jun 25 2014
Pages: 70
Weight: 0.29
Height: 0.17 Width: 6.14 Depth: 9.21
Language: English
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.

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