Implementation of Low-Density Parity-Check (LDPC) Codes in Verilog HDL

Low-Density Parity-Check (LDPC) codes are powerful forward error correction (FEC) techniques widely used in modern communication systems due to their near-Shannon-limit performance. LDPC codes employ sparse parity-check matrices and iterative decoding algorithms to achieve high error correction capability with relatively low complexity. This project presents the design and implementation of an LDPC encoder and decoder using Verilog HDL, targeting efficient hardware realization for high-speed and low-power applications. The proposed design focuses on optimized parity-check matrix representation, parallel processing, and iterative decoding using message-passing algorithms. The architecture is suitable for FPGA and ASIC platforms and supports reliable data transmission in noise-prone communication environments.