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This book aims to develop multiple-input multiple-output system to enhance the performance of wireless communications system. Cooperative communications is a new paradigm shift for the 4th generation wireless system that will guarantee high data rates to all users in the network, its anticipated that will be the key technology aspect in 5th generation wireless networks. It also simulates and analyzes four schemes of cooperative communications. They implemented based on amplify-and-forward relaying protocol under uncorrelated flat fading Rayleigh channel. The first scheme contains source,relay and destination. Each node equipped with single antennas(AF 1×1×1 SISO Relaying System). The other schemes are AF 2×2×2 MIMO ,AF 4×4×4 MIMO and AF 8×8×8 MIMO relaying system. Orthogonal space-time block coding and maximal ratio combining at the destination are used for all MIMO relaying systems. Also assumes that the channel status information is perfectly known at the relay and the destination. It implements four schemes of AF Cooperative communications system by using MATLAB simulation. It studies the probability of error (BER) performance and channel capacity performance of these schemes.