Modeling Methodology Based on Homogeneous Poisson Point Process (HPPP) for Multi-tier Heterogeneous Cellular Networks

This simulation source code implements modeling methodologies for multi-tier heterogeneous cellular networks using Homogeneous Poisson Point Process (HPPP) as the foundation. The core algorithm generates random base station distributions through Poisson point generation functions, where spatial randomness is achieved using uniform distribution sampling within designated geographical areas. The implementation references a seminal IEEE Transactions paper published in 2012 that formally establishes this mathematical framework. Additionally, the code incorporates traditional hexagonal grid modeling approaches, utilizing geometric coordinate calculations to create regular cellular layouts. The channel gain matrix computation module employs path loss models (such as COST-231 or Okumura-Hata) combined with shadow fading components, implemented through logarithmic-distance calculations and Gaussian random variable generation for realistic propagation characteristics. Further analytical extensions can explore network performance optimization through parameter tuning algorithms, scenario-specific configuration adapters, and comprehensive evaluation metrics for network capacity and coverage analysis. The modular code structure allows for easy integration of additional propagation models and performance assessment tools.