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| Tradeoff between Diversity Gain and Multiplexing Gain in MIMO Systems |
| Huang Qiu-lin; Shi Xiao-wei |
| National Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071, China |
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Abstract An optimal tradeoff formula between diversity gain and multiplexing gain was derived. The formula is a step decreasing and right continuous function，and the number of steps is equal to the number of receiving antennas. The diversity gain is relative to the block length, and can amount to the full diversity gain only when the block length is no less than the number of transmit antennas. The tradeoff shows that suitable space time codes would provide diversity gain and multiplexing gain simultaneously. However, two gains can not achieve the maximum level at the same time. By the tradeoff formula, the maximum diversity gain under a certain multiplexing gain can be estimated, and vice versa.
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Received: 04 August 2005
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2007, Vol. 29 
