Diversity-Multiplexing Tradeoff of MIMO Systems with Partial Power Control

The tradeoff between the diversity and multiplexing gains that can be simultaneously achieved over a slowly fading multiple-antenna channel with partial transmit side information is characterized in a recursive manner. It is assumed that the information rate grows as the long-term average transmit power increases, but does not adapt to the channel state. Partial power control is shown to be instrumental in achieving the optimal tradeoff over such a system. Our results indicate that the diversity gain can be increased considerably even with coarsely quantized channel state information, especially at low multiplexing gains