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Eigen-inference moments method for cognitive wireless communications

机译:认知无线通信的特征推断矩方法

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In many situations, telecommunication engineers are faced with the problem of extracting information from the network. This corresponds in many cases to infer on functionals of spectrum of random matrices with only a limited knowledge on the statistics of the matrix entries. Here, the inference on the spectrum of random matrices is realized by moments method. In its full generality, the problem requires some sophisticated tools related to free probability theory and the explicit spectrum (complete information) can hardly be obtained (except for some trivial cases). Results in the asymptotic case and in the finite case are presented and simulations show how the moments method approach can be applied in practice. Several still open problems in this field are also presented.
机译:在许多情况下,电信工程师面临着从网络中提取信息的问题。在许多情况下,这对应于仅对矩阵项的统计知识有限的情况下推断随机矩阵频谱的功能。在此,通过矩量法实现对随机矩阵谱的推断。从总体上讲,该问题需要一些与自由概率理论相关的复杂工具,并且几乎无法获得明确的频谱(完整信息)(一些琐碎的情况除外)。给出了渐近情况和有限情况下的结果,仿真结果表明了矩量法在实际中的应用。还提出了该领域中一些尚待解决的问题。

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