Multi-Antenna Multi-Relay Dual-Hop Amplify-and-Forward System Simulation

This program simulates a multi-antenna multi-relay dual-hop amplify-and-forward relaying system over Nakagami-m fading channels. The function's output is the outage probability. The system employs multiple antennas and relay nodes to enhance signal transmission, improving data transfer reliability and performance. By utilizing the Nakagami-m fading channel model, the program accurately replicates complex real-world wireless channel environments. The implementation involves generating channel matrices using random variates with Nakagami distribution parameters, where the 'm' parameter controls fading severity. The code processes signal amplification at relay nodes through matrix multiplication operations, maintaining signal power constraints. The outage probability calculation compares the end-to-end SNR against a predetermined threshold using cumulative distribution functions. Outage probability serves as a crucial performance metric, indicating the likelihood of failed data transmission under specific channel conditions. By computing this probability, researchers can evaluate system reliability and optimize parameters like antenna configuration and relay positioning. This makes the program particularly valuable for wireless communication system research and design, especially for 5G and IoT applications requiring robust multi-hop transmissions.