Joint density, for eigenvalues of two correlated complex wishart matrices: Characterization of MIMO systems
Joint density, for eigenvalues of two correlated complex wishart matrices: Characterization of MIMO systems
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DOI：
10.1109/twc.2007.060309
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发表时间：
2007-11-01
影响因子：
10.4
通讯作者：
Garth, Lee M.
中科院分区：
文献类型：
--
作者：
Kuo, Ping-Heng;Smith, Peter J.;Garth, Lee M.
在这封信中，联合概率密度函数（PDF）的特征值的复杂Wishart矩阵和它的扰动版本。后一版本可用于对信道估计误差和随时间或频率的变化进行建模。作为一个例子，联合PDF被用来计算自适应MIMO系统中的调制状态之间的转移概率。这导致了系统的马尔可夫模型。然后，我们使用该模型调查的调制状态进入率（MSER），平均停留时间（ASD），和反馈延迟的影响，在移动的无线电系统中的调制状态选择的准确性。还讨论了该PDF的其他应用。
In this letter, the joint probability density function (PDF) for the eigenvalues of a complex Wishart matrix and a perturbed version of it are derived. The latter version can be used to model channel estimation errors and variations over time or frequency. As an example, the joint PDF is used to calculate the transition probabilities between modulation states in an adaptive MIMO system. This leads to a Markov model for the system. We then use the model to investigate the modulation state entering rates (MSER), the average stay duration (ASD), and the effects of feedback delay on the accuracy of modulation state selection in mobile radio systems. Other applications of this PDF are also discussed.