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What you ultimately want is that the channel coefficients are uncorrelated. MIMO (and diversity techniques in general) depend on the fact that it's unlikely that many different channels will all be bad at the same time. When the channels are correlated, the performance of your receiver will go down dramatically, because correlation means that when one ...


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Are $x$ and $y$ uncorrelated? In this case the autocorrelation function of $x+y$ is just the sum of the autocorrelation functions of $x$ and $y$, which if one of them is not white will lead to its sum also not being white. In general, for stationary processes you have $\phi_{zz}(\tau) = \phi_{xx}(\tau) + \phi_{yy}(\tau) + \phi_{xy}(\tau) + \phi_{yx}(\tau)$ ...


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