Knowledge of coding techniques in wireless communication is an essential part for those who are much interested in this field of wireless communication. Now a days a lot of research is being conducted in this field to enhance the data rate and the reliability of wireless communication system. In this book, we have tried to explain about the space time coding and the topics related to this coding technique. Here focus is given on the Alamouti code and the performance is evaluated using Matlab simulation. Also, we have studied about the channel capacity of MIMO system using Matlab simulation.