Interference Alignment: Algorithm Simulation and Design for 3-User Systems

This document presents detailed algorithmic simulations and design methodologies for three-user interference alignment systems. These implementations serve as valuable educational resources for individuals seeking to understand interference alignment principles. The content covers the significance of interference alignment and its practical applications in wireless communication systems. Through studying this material, readers can gain deep insights into interference alignment fundamentals, methodologies, and technical implementations, including practical strategies for real-world deployment and optimization. Key implementation aspects covered include: - Precoding matrix calculation using chordal distance minimization - Interference subspace alignment through iterative algorithms - Signal-to-interference-plus-noise ratio (SINR) optimization techniques - Code examples demonstrating alignment feasibility conditions and degree-of-freedom analysis The document aims to inspire readers in both research and practical applications, providing comprehensive knowledge and guidance for implementing interference alignment in modern communication systems. MATLAB simulation codes include functions for channel matrix generation, interference measurement, and alignment verification across multiple antenna configurations.