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Supporting high-quality video transmission across wireless networks demands not only high but also constant bit rate (CBR). In order to provide a CBR channel, large modifications in transmitting power requirement would normally be necessary to inverse extremely high variation in channel fading. However, with a multiple input and multiple output (MIMO) system, sub-channel diversity can "smooth out" aggregate channel fluctuation, making it possible to support a CBR channel with efficient power control. We have devised an optimal antenna transmitting power and bits-per-symbol allocation algorithm that can reduce significantly, the total power consumption required to maintain CBR channels. We also utilize a secondary power control based on leaky bucket paradigm for smooth battery drain and to make peak power utilization to within system requirements. Simulation results reveal that under practical power fluctuation constraints, the scheme can achieve power savings of up to 10 dB with a 4×4 antenna system.