Forward Error Correction Based On Algebraic-Geometric Theory [electronic resource] / by Jafar A. Alzubi, Omar A. Alzubi, Thomas M. Chen
- SpringerBriefs in Electrical and Computer Engineering, 2191-8112
- 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.
- 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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