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arXiv 0903.4582cs.ITmath.IT
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非理想CSIT的MIMO衰落信道中的分集复用折衷

On the Achievable Diversity-Multiplexing Tradeoff in MIMO Fading Channels with Imperfect CSIT

Xiao Juan Zhang, Yi Gong

摘要:

在本文中,我们分析了分集和复用在多输入多输出(MIMO)信道与不完善的信道状态信息在发送端(CSIT)的基本权衡。我们表明,不完美的CSIT,更高的分集增益,以及更有效的分集复用权衡(DMT)可以实现。在具有K个发射/接收天线的多输入单输出(MISO)/单输入多输出(SIMO)信道的情况下,可以在空间复用增益r处获得d(r)=K(1-r+Kα)的分集增益,其中α是本文定义的CSIT质量。对于M(M>1)个发射天线和N(N>1)个接收天线的一般MIMO信道,我们证明了根据α的值,可以得到不同的DMT,并且α的值对可实现的分集有很大的影响,特别是在高复用增益下。具体地,当α高于某个阈值时,可以实现d(r)=MN(1+MNα)-(M+N-1)r的分集增益;否则,可实现的DMT低得多,并且可以被描述为取决于M、N、r和α的不连续线段的集合。我们的分析表明,不完美的CSIT显着提高可实现的分集增益,同时享受高空间复用增益。

英文摘要:

In this paper, we analyze the fundamental tradeoff of diversity and multiplexing in multi-input multi-output (MIMO) channels with imperfect channel state information at the transmitter (CSIT). We show that with imperfect CSIT, a higher diversity gain as well as a more efficient diversity-multiplexing tradeoff (DMT) can be achieved. In the case of multi-input single-output (MISO)/single-input multi-output (SIMO) channels with K transmit/receive antennas, one can achieve a diversity gain of d(r)=K(1-r+Kα) at spatial multiplexing gain r, where αis the CSIT quality defined in this paper. For general MIMO channels with M (M>1) transmit and N (N>1) receive antennas, we show that depending on the value of α, different DMT can be derived and the value of αhas a great impact on the achievable diversity, especially at high multiplexing gains. Specifically, when αis above a certain threshold, one can achieve a diversity gain of d(r)=MN(1+MNα)-(M+N-1)r; otherwise, the achievable DMT is much lower and can be described as a collection of discontinuous line segments depending on M, N, r and α. Our analysis reveals that imperfect CSIT significantly improves the achievable diversity gain while enjoying high spatial multiplexing gains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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