LDPC Encoding and Decoding Simulation with MATLAB
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This article explores the simulation of LDPC (Low-Density Parity-Check) encoding and decoding techniques. LDPC codes are widely used in communication systems to enhance data transmission reliability and efficiency. During simulation, we employ various tools and algorithms—primarily MATLAB implementations and the Belief Propagation (BP) algorithm—to model these processes and gain deeper insights into their operational principles. The MATLAB environment provides essential functions for constructing parity-check matrices, implementing encoding schemes (e.g., generator matrix multiplication or sparse matrix operations), and executing iterative decoding via log-domain or probability-domain BP algorithms. These simulations enable comprehensive analysis of LDPC performance metrics, including bit error rate (BER) under varying signal-to-noise ratios, thereby demonstrating their practical applications in modern communication systems.
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