Moments of the quadrivariate Rayleigh distribution with applications for diversity receivers
Moments of the quadrivariate Rayleigh distribution with applications for diversity receivers
复制标题
四元瑞利分布的矩及其在分集接收机中的应用
DOI：
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复制
发表时间：
2020
影响因子：
1.9
通讯作者：
C. Beard
中科院分区：
文献类型：
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作者：
Mustafa Tekinay;C. Beard
无线信道表现出时间、频率和空间的相关性。文献中研究四支路分集接收机的模型假设每个天线接收信号之间的独立性、恒定相关、指数相关或其他类型。然而，这些模型在许多情况下并不准确。针对这一问题，我们提供了具有任意相关模型的四变量瑞利分布的矩、矩生成函数、概率密度函数和累积分布函数的新结果。据我们所知，我们的模型是最全面的，也是唯一一个可以纳入3GPP建议的空间相关结构的模型。我们利用这些新结果推导了四支路等增益组合接收机和四支路最大比组合接收机的输出信噪比矩的解析表达式。我们通过它们在不同场景下的高阶矩提供了它们输出信噪比分布的原始见解。我们的表达式对所有时刻都有效。
Wireless channels exhibit time, frequency, and spatial correlation. Models in literature that study four-branch diversity receivers make assumptions such as independence, constant correlation, exponential correlation, or some other kind between received signals at each antenna. However, these models are not accurate in many scenarios. Addressing this issue, we provide novel results for the moments, moment-generating function, probability density function, and cumulative distribution function of the quadrivariate Rayleigh distribution with an arbitrary correlation model. To the best of our knowledge, our model is the most comprehensive and the only one that can incorporate the 3GPP suggested spatial correlation structure. We use our new results to derive an analytical expression for the moments of the output signal-to-noise ratio of the four-branch equal gain combining receiver and the four-branch maximal ratio combining receiver. We provide original insight about their output signal-to-noise ratio distributions through their higher order moments in different scenarios. Our expressions are valid for all moments.