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arXiv · 1905.05223

RLS-Based Detection for Massive Spatial Modulation MIMO

Ali Bereyhi·Saba Asaad·Bernhard Gäde·Ralf R. Müller
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Abstract

Most detection algorithms in spatial modulation (SM) are formulated as linear regression via the regularized least-squares (RLS) method. In this method, the transmit signal is estimated by minimizing the residual sum of squares penalized with some regularization. This paper studies the asymptotic performance of a generic RLS-based detection algorithm employed for recovery of SM signals. We derive analytically the asymptotic average mean squared error and the error rate for the class of bi-unitarily invariant channel matrices. The analytic results are employed to study the performance of SM detection via the box-LASSO. The analysis demonstrates that the performance characterization for i.i.d. Gaussian channel matrices is valid for matrices with non-Gaussian entries, as well. This justifies the partially approved conjecture given in [1]. The derivations further extend the former studies to scenarios with non-i.i.d. channel matrices. Numerical investigations validate the analysis, even for practical system dimensions.

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Ali Bereyhi, Saba Asaad, Bernhard Gäde, Ralf R. Müller. 2019-05-13. RLS-Based Detection for Massive Spatial Modulation MIMO. https://arxiv.org/abs/1905.05223

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