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arXiv 0903.4526cs.ITmath.IT
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非理想CSIT衰落脏纸信道的恢复率

On the Achievable Rate of the Fading Dirty Paper Channel with Imperfect CSIT

Chinmay S. Vaze, Mahesh K. Varanasi

摘要:

研究了多天线衰落脏纸信道(FDPC)Y = H(X + S)+ Z上的脏纸编码(DPC)问题. FDPC具有正定(p.d.)在最近的一篇文章中,作者研究了输入协方差矩阵,这里讨论了半正定(p.s.d.)处理输入协方差。为此,修改了辅助随机变量的选择。提出了确定膨胀因子的算法。的情况下,然后推广到p.s.d.的情况。输入协方差随后,最大DPC可实现的高SNR(信噪比)缩放因子超过具有p.s.d.导出输入协方差矩阵。该比例因子被认为是针对p.d.实现的比例因子的非平凡推广。案子接下来,在低SNR的限制下,证明了全零膨胀因子的选择(因此将干扰视为噪声)在“比率”意义上是最优的,而不管所使用的协方差矩阵。此外,在PD。协方差的情况下,在高信噪比最佳的膨胀因子时,获得的发射天线的数量大于接收天线的数量,与其他情况下已经考虑在较早的文件。最后,讨论了输入协方差矩阵和膨胀因子的联合优化问题,并给出了迭代数值算法。

英文摘要:

The problem of dirty paper coding (DPC) over the (multi-antenna) fading dirty paper channel (FDPC) Y = H(X + S) + Z is considered when there is imperfect knowledge of the channel state information H at the transmitter (CSIT). The case of FDPC with positive definite (p.d.) input covariance matrix was studied by the authors in a recent paper, and here the more general case of positive semi-definite (p.s.d.) input covariance is dealt with. Towards this end, the choice of auxiliary random variable is modified. The algorithms for determination of inflation factor proposed in the p.d. case are then generalized to the case of p.s.d. input covariance. Subsequently, the largest DPC-achievable high-SNR (signal-to-noise ratio) scaling factor over the no-CSIT FDPC with p.s.d. input covariance matrix is derived. This scaling factor is seen to be a non-trivial generalization of the one achieved for the p.d. case. Next, in the limit of low SNR, it is proved that the choice of all-zero inflation factor (thus treating interference as noise) is optimal in the 'ratio' sense, regardless of the covariance matrix used. Further, in the p.d. covariance case, the inflation factor optimal at high SNR is obtained when the number of transmit antennas is greater than the number of receive antennas, with the other case having been already considered in the earlier paper. Finally, the problem of joint optimization of the input covariance matrix and the inflation factor is dealt with, and an iterative numerical algorithm is developed.

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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