On the capacity-achieving distribution of the discrete-time noncoherent and partially coherent AWGN channels
On the capacity-achieving distribution of the discrete-time noncoherent and partially coherent AWGN channels
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DOI：
10.1109/tit.2004.834745
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发表时间：
2004-10
影响因子：
2.5
通讯作者：
M. Katz;S. Shamai
中科院分区：
文献类型：
--
作者：
M. Katz;S. Shamai
本文研究了快速相位变化信道的通信极限，并考虑了平均功率约束下离散时间非相干加性白色高斯噪声（NCAWGN）信道的容量。我们得到了实现能力的输入分布的充分必要条件，并表明，这种分布是离散的，并拥有无限多个质量点。使用这种表征的能力，实现分布，我们计算一个严格的下限的能力的通道的基础上检查次优的输入分布。此外，我们提供了一些容易计算的上下限的信道容量。最后，我们扩展这些结果的部分相干信道中，它是假设一个锁相环（PLL）是用来跟踪在接收器的载波相位，并采用一个理想的交织器和解交织器呈现的吉洪诺夫分布的残留相位误差统计独立从一个符号间隔到另一个。
We investigate the communication limits over rapid phase-varying channels and consider the capacity of a discrete- time noncoherent additive white Gaussian noise (NCAWGN) channel under the average power constraint. We obtain necessary and sufficient conditions for the capacity-achieving input distribution and show that this distribution is discrete and possesses an infinite number of mass points. Using this characterization of the capacity-achieving distribution we compute a tight lower bound on the capacity of the channel based on examining suboptimal input distributions. In addition, we provide some easily computable lower and upper bounds on the channel capacity. Finally, we extend some of these results to the partially coherent channel, where it is assumed that a phase-locked loop (PLL) is used to track the carrier phase at the receiver, and that an ideal interleaver and de-interleaver are employed-rendering the Tikhonov distributed residual phase errors statistically independent from one symbol interval to another.