Large System Analysis of Sum Capacity in the Gaussian MIMO Broadcast Channel
Large System Analysis of Sum Capacity in the Gaussian MIMO Broadcast Channel
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DOI：
10.1109/jsac.2013.130204
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发表时间：
2013-01
影响因子：
16.4
通讯作者：
C. Guthy;W. Utschick;M. Honig
中科院分区：
文献类型：
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作者：
C. Guthy;W. Utschick;M. Honig
我们分析了高斯MIMO广播信道的可达和速率。我们首先考虑多输入单输出（MISO）信道，并推导出大的系统极限的总和容量的用户和发射天线的数量以固定的比例趋于无穷大。然后，我们考虑多输入多输出（MIMO）广播信道和固定的用户数，并让发送和接收天线的数量趋于无穷大与固定的比例。由于在这种情况下的总和容量的渐近表达式是很难获得的，我们评估的大系统的总和速率连续迫零波束成形与脏纸编码。分析给出了一个下界的大系统的总容量，这是数值观察是相当接近的。此外，大系统分析被应用于估计相对于连续迫零波束成形的总容量的相对较小的性能损失，在有限的MISO系统中，有和没有脏纸编码。
We analyze the achievable sum rate of the Gaussian MIMO broadcast channel. We first consider Multiple-Input Single-Output (MISO) channels and derive the large system limit of the sum capacity as the number of users and transmit antennas go to infinity with a fixed ratio. We then consider Multiple-Input Multiple-Output (MIMO) broadcast channels and fix the number of users and let the number of transmit and receive antennas tend to infinity with fixed ratio. As in this case an asymptotic expression for sum capacity is hard to obtain, we evaluate the large system sum rate corresponding to successive zero-forcing beamforming with Dirty-Paper Coding. The analysis gives a lower bound on the large system sum capacity, which is numerically observed to be quite close. In addition, large system analysis is applied to estimate the relatively small performance losses with respect to sum capacity of successive zero-forcing beamforming with and without Dirty-Paper Coding in finite MISO systems.