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


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)
JournalIEEE Transactions on Wireless Communications
StateAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

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


  • box-LASSO
  • Detectors
  • Indexes
  • Massive MIMO
  • massive MIMO
  • maximum-a-posteriori-probability detection
  • Modulation
  • Multiple-active spatial modulation
  • regularized least-squares
  • Transmitting antennas
  • Uplink
  • Wireless communication


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