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RLS-Based Detection for Massive Spatial Modulation MIMO

Information Theory 2019-05-15 v1 math.IT

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.

Keywords

Cite

@article{arxiv.1905.05223,
  title  = {RLS-Based Detection for Massive Spatial Modulation MIMO},
  author = {Ali Bereyhi and Saba Asaad and Bernhard Gäde and Ralf R. Müller},
  journal= {arXiv preprint arXiv:1905.05223},
  year   = {2019}
}

Comments

To be presented in the IEEE International Symposium on Information Theory (ISIT) 2019 in Paris, France. 6 pages, 3 figures