Abstract / truncated to 115 words (read the full abstract)

This work provides a precise performance analysis of precoding in the asymptotic regime of the multi-user massive multiple-input multiple-output (MIMO) setting. Considering practical challenges, such precoders are typically formulated as non-linear, non-smooth optimization problems without closed-form solutions, often followed by non-linear post-processing operations. These aspects make it difficult to analyze the system behavior in multiple scenarios. To address these challenges, we utilize analytical tools based on the Gaussian Min-Max Theorem (GMT). For cases without post-processing, we employ the Convex Gaussian Min-Max Theorem (CGMT), a rigorously established tool that enables the analysis of quantities of interest by connecting them to the optimal solutions of auxiliary models of the precoding problem. Notably, CGMT does not require closed-form ... toggle 4 keywords

precoding – high dimensional analysis – quantization – gaussian min-max theorem

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