Simulation of Ergodic Capacity for MIMO Systems Under Rayleigh Fading Channels

This study conducts simulations of ergodic capacity for MIMO systems under Rayleigh fading channel conditions, investigating various scenarios and parameters to comprehensively understand system performance and potential. Through these simulation experiments implemented using MATLAB/Octave, we can better evaluate and optimize system design while proposing more effective solutions. The simulation typically involves generating complex Gaussian random variables to model Rayleigh fading coefficients, computing channel matrix eigenvalues, and applying Shannon capacity formulas with appropriate signal-to-noise ratio (SNR) configurations. Key implementation aspects include Monte Carlo methods for statistical averaging, singular value decomposition (SVD) for channel matrix analysis, and capacity calculations using log-determinant operations. This research holds significant importance for enhancing the performance and reliability of wireless communication technologies, providing valuable references and guidance for future communication system development.