线性时变信道的特征值估计和互信息
Eigenvalue Estimates and Mutual Information for the Linear Time-Varying Channel
摘要：
我们考虑线性时变信道加性高斯白噪声。对于一大类这样的通道，我们得到严格的估计的有效信道的相关矩阵的特征值的采样时变传递函数，因此，提供了一个理论上的理由，经常观察到的文献中的关系。然后，我们使用该特征值估计来导出信道的互信息的估计。我们的方法是建设性的，是基于近似算子对角化，信号维数损失和特征值估计的准确性之间的权衡仔细的平衡。
英文摘要：
We consider linear time-varying channels with additive white Gaussian noise. For a large class of such channels we derive rigorous estimates of the eigenvalues of the correlation matrix of the effective channel in terms of the sampled time-varying transfer function and, thus, provide a theoretical justification for a relationship that has been frequently observed in the literature. We then use this eigenvalue estimate to derive an estimate of the mutual information of the channel. Our approach is constructive and is based on a careful balance of the trade-off between approximate operator diagonalization, signal dimension loss, and accuracy of eigenvalue estimates.
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