论文标题
通用块褪色的非合并MIMO通道的最佳DOF
The Optimal DoF for the Noncoherent MIMO Channel with Generic Block Fading
论文作者
论文摘要
通过利用通道矩阵的高斯性，已得出了独立和相同分布（IID）瑞利块褪色的情况下，非合并MIMO通道的高SNR容量已得出。这意味着最佳的自由度（DOF），即能力前的因素。然而，就最佳DOF而言，IID Rayleigh褪色显然是足够但不是必需的条件。在本文中，我们表明，IID Rayleigh块褪色通道的最佳DOF也是更一般的通用块褪色通道的最佳DOF，其中随机通道矩阵具有有限的功率和有限的差分熵。我们的主要贡献是基于二元性方法的新颖相反的证明。
The high-SNR capacity of the noncoherent MIMO channel has been derived for the case of independent and identically distributed (IID) Rayleigh block fading by exploiting the Gaussianity of the channel matrix. This implies the optimal degrees of freedom (DoF), i.e., the capacity pre-log factor. Nevertheless, as far as the optimal DoF is concerned, IID Rayleigh fading is apparently a sufficient but not necessary condition. In this paper, we show that the optimal DoF for the IID Rayleigh block fading channel is also the optimal DoF for a more general class of generic block fading channels, in which the random channel matrix has finite power and finite differential entropy. Our main contribution is a novel converse proof based on the duality approach.
