This document describes the simulation and performance analysis of a MIMO system with spatial multiplexing using polarization diversity. It discusses how dual polarized antennas can be used when antenna spacing constraints cannot be met. The document presents the channel model used, which considers spatial correlation fading and cross-polarization discrimination. It then details the steps of the MATLAB simulation, which generates channel matrices and symbol vectors, adds noise, performs optimal detection, and calculates the symbol error rate for varying SNR values. A plot of SNR versus symbol error count shows the performance of the system.