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Engineering - Signals & Communication | Forward Error Correction Based On Algebraic-Geometric Theory

Forward Error Correction Based On Algebraic-Geometric Theory

Alzubi, Jafar, Alzubi, Omar, M. Chen, Thomas

2014, XII, 70 p. 33 illus., 20 illus. in color.

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  • Covers the design, construction and implementation of algebraic-geometric codes from Hermitian curves
  • Offers algebraic-geometric block turbo codes
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.

Content Level » Research

Keywords » Algebraic-geometric Codes - Algebraic-geometric Irregular - Bit Error Rate (BER) Performance - Block Turbo Codes (AG-IBTC) - Quadrature Amplitude Modulation QAM - Reed-Solomon

Related subjects » Applications - Signals & Communication - Theoretical Computer Science

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