📡 Error-Correcting-Codes Project

This repository contains Python scripts and resources for exploring and simulating Error Correction Codes (ECC), with a primary focus on Low-Density Parity-Check (LDPC) codes for improving communication reliability over noisy and erasure channels.

The project implements both regular and irregular LDPC codes, optimizes decoding performance using CUDA acceleration, and analyzes Bit Error Rate (BER) vs. Signal-to-Noise Ratio (SNR) characteristics.

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📖 Table of Contents

• 🔍 Overview
• 🚀 Features
• 📦 Dependencies
• ⚙️ Setup Instructions
• 💡 Usage Instructions
• 📂 File Descriptions

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🔍 Overview

This project covers:
✅ Performance analysis of LDPC codes under varying Signal-to-Noise Ratios (SNR).
✅ Erasure probability evaluation using regular LDPC codes.
✅ Design and analysis of irregular LDPC codes.
✅ Simulating erasure-erasure wiretap channels to study secure communication.
✅ CUDA-accelerated decoding for efficiency in large-scale simulations.

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🚀 Features

• ✅ Simulation of Regular & Irregular LDPC Codes
• ✅ BER vs. SNR Analysis for communication performance evaluation
• ✅ Noisy and Erasure Channel Modeling
• ✅ CUDA-Accelerated Decoding for improved performance

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📦 Dependencies

Ensure you have Python 3.8+ installed. Then, install the required dependencies:

pip install numpy scipy matplotlib torch pytest cupy-cuda12x

📂 File Descriptions

File Name	Description
README.md	Project documentation.
make_ldpc.py	Generates regular LDPC parity-check matrices.
construct_irregular_ldpc.py	Generates irregular LDPC matrices.
encoder.py	Encodes data using LDPC codes.
decoder.py	CPU-based LDPC decoder implementation.
decoder_cuda.py	CUDA-accelerated LDPC decoder.
erasure_channel_encoding.py	Simulates erasure channels with regular LDPC.
erasure_channel_encoding_irregular.py	Simulates erasure channels with irregular LDPC.
bpsk.py	BPSK modulation and decoding.
bpsk_hamming.py	BPSK modulation with Hamming Code.
simulation_ex2.py	Simulations for the regular LDPC.
simulation_ex3.py	Simulations for the Irregular LDPC.
test_irregular_ldpc.py	Unit tests for irregular LDPC.
demo.py	Complete end-to-end system demonstration.

⚙️ Setup Instructions

Follow these steps to set up the project on your local machine:

1️⃣ Clone the Repository

First, download the repository using git clone:

git clone https://github.com/spyrchat/Error-Correcting-Codes.git
cd Error-Correcting-Codes