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A common assumption in the design and analysis of many MIMO transmission schemes is the so-called Kronecker model. This model is often a crucial step to obtain mathematically tractable solutions, but has also been criticized for being unrealistic. In this paper, the authors present a numerical approach to determine a channel whose statistics is as far from being Kronecker as possible, keeping only an assumption of spatial stationarity. As a case study for the relevance of the Kronecker assumption, a numerical analysis is included of the performance of optimal pilot design for Kronecker and non-Kronecker channels.
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