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首页> 外文会议>Information Sciences and Systems, 2009. CISS 2009 >On the achievable rate of the fading dirty paper channel with imperfect CSIT
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On the achievable rate of the fading dirty paper channel with imperfect CSIT

机译：CSIT不完善时脏纸通道褪色的可实现率

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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 dasiaratiopsila 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.
机译：当对发射机的信道状态信息H的了解不完善时，考虑了（多天线）褪色脏纸通道（FDPC）上的脏纸编码（DPC）Y = H（X + S）+ Z的问题（ CSIT）。作者在最近的一篇论文中研究了带有正定（p.d.）输入协方差矩阵的FDPC的情况，这里讨论了更一般的正半定（p.s.d.）输入协方差的情况。为此，修改了辅助随机变量的选择。 p.d.中提出的用于确定通货膨胀系数的算法。然后将案例归纳为p.s.d.输入协方差。随后，在无CSIT FDPC上以p.s.d达到最大的DPC可实现的高SNR（信噪比）缩放因子。输入协方差矩阵。该缩放因子被认为是对p.d实现的一个简单的概括。案件。接下来，在低SNR的限制下，证明了在零值意义上全零膨胀因子的选择（因此将干扰视为噪声）的选择是最佳的，而与所使用的协方差矩阵无关。此外，在第在协方差情况下，当发射天线的数量大于接收天线的数量时，可获得在高SNR时最佳的膨胀因子，而在先前的论文中已经考虑了其他情况。最后，解决了输入协方差矩阵与膨胀因子的联合优化问题，并提出了迭代数值算法。

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