Detection of Spatially Modulated Signals via RLS: Theoretical Bounds and Applications

Ali Bereyhi, Saba Asaad, Bernhard Gade, Ralf R. Muller, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


This paper characterizes the performance of massive multiuser spatial modulation MIMO systems, when a regularized form of the least-squares method is used for detection. For a generic distortion function and right unitarily invariant channel matrices, the per-antenna transmit rate and the asymptotic distortion achieved by this class of detectors are derived. Invoking an asymptotic characterization, we address two particular applications. Namely, we derive the error rate achieved by the computationally-intractable optimal Bayesian detector, and we propose an efficient approach to tune LASSO-type detectors. We further validate our derivations through various numerical experiments.

Original languageEnglish (US)
Pages (from-to)2291-2304
Number of pages14
JournalIEEE Transactions on Wireless Communications
Issue number4
StatePublished - Apr 1 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


  • Multiple-active spatial modulation
  • box-LASSO
  • massive MIMO
  • maximum-a-posteriori-probability detection
  • regularized least-squares


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