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arXiv 0901.2764cs.ITmath.IT
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衰落信道中部分发送端信息的脏纸编码

Dirty Paper Coding for Fading Channels with Partial Transmitter Side Information

Chinmay S. Vaze, Mahesh K. Varanasi

摘要:

本文研究了Costa信道的一种更一般的形式-衰落脏纸信道(FDPC)Y = H(X + S)+Z上的脏纸编码(DPC)问题,即在发射端(CSIT)和接收端(CSIR)分别部分和完全知道衰落过程H的情况下.在这个问题中的一个关键步骤是确定最佳的通货膨胀因子(根据科斯塔的选择辅助随机变量)时,只有部分CSIT。为此,提出了两种迭代数值算法。这两种算法都被认为是通货膨胀因子的好选择。最后,高信噪比(信噪比)的行为,可达到的速率在FDPC处理。证明了FDPC(具有t个发射天线和r个接收天线)即使在没有CSIT的情况下也实现了min(t,r)log SNR的最大可能缩放因子。此外,在高信噪比的制度,Costa的辅助随机变量的选择的最优性建立,即使在FDPC的特殊情况下,有部分(或没有)CSIT与t <= r。使用FDPC的高SNR缩放律结果(如前所述),示出了与其他基于波束成形的多用户策略不同,基于DPC的多用户传输策略可以在具有部分(或没有)CSIT的多输入多输出高斯广播信道上实现单用户和速率缩放因子。

英文摘要:

The problem of Dirty Paper Coding (DPC) over the Fading Dirty Paper Channel (FDPC) Y = H(X + S)+Z, a more general version of Costa's channel, is studied for the case in which there is partial and perfect knowledge of the fading process H at the transmitter (CSIT) and the receiver (CSIR), respectively. A key step in this problem is to determine the optimal inflation factor (under Costa's choice of auxiliary random variable) when there is only partial CSIT. Towards this end, two iterative numerical algorithms are proposed. Both of these algorithms are seen to yield a good choice for the inflation factor. Finally, the high-SNR (signal-to-noise ratio) behavior of the achievable rate over the FDPC is dealt with. It is proved that FDPC (with t transmit and r receive antennas) achieves the largest possible scaling factor of min(t,r) log SNR even with no CSIT. Furthermore, in the high SNR regime, the optimality of Costa's choice of auxiliary random variable is established even when there is partial (or no) CSIT in the special case of FDPC with t <= r. Using the high-SNR scaling-law result of the FDPC (mentioned before), it is shown that a DPC-based multi-user transmission strategy, unlike other beamforming-based multi-user strategies, can achieve a single-user sum-rate scaling factor over the multiple-input multiple-output Gaussian Broadcast Channel with partial (or no) CSIT.

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