On the Asymptotic BER of MMSE Detector in Massive MIMO Systems

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Abstract

The minimum-mean-square-error (MMSE) detector is widely used in multiple-input multiple-output (MIMO) systems, since it is considered as the best linear detector. However, obtaining a tight bit error rate (BER) expression is not a straightforward task. In massive MIMO (M-MIMO) systems, due to the asymptotically orthogonal channel matrix property, the BER evaluation is less complex by using the random matrix theory. In this article, two closed-form BER expressions are derived for the MMSE detector in M-MIMO systems. The first one is an asymptotic result by using the Marchenko-Pastur distribution, and the second one is an accurate result by using an approximation of the ZF detector performance.

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Altamirano, C. D., Minango, J., de Almeida, C., & Orozco, N. (2020). On the Asymptotic BER of MMSE Detector in Massive MIMO Systems. In Communications in Computer and Information Science (Vol. 1195 CCIS, pp. 57–68). Springer. https://doi.org/10.1007/978-3-030-42531-9_5

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