Approximate message passing algorithms for low complexity OFDM-IM detection

Zeping Sui, Shefeng Yan*, Hongming Zhang, Lie-Liang Yang, Lajos Hanzo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Low complexity approximate message passing (AMP) orthogonal frequency division multiplexing combined with index modulation (OFDM-IM) detection algorithms are proposed, which exploit the sparse structure of the frequency domain (FD) OFDM-IM symbols. To circumvent the high root mean square error (RMSE) in the conventional AMP algorithm, a minimum mean square error (MMSE) denoiser is proposed based on the classic Bayesian approach and on the state evolution of AMP. Our simulation results demonstrate that it is capable of improving both the RMSE as well as the convergence rate. However, in practice, the channel's diagonal FD matrix may be a non-Gaussian sensing matrix, hence a damping strategy is conceived. In conclusion, the proposed MMSE denoiser based damping-assisted AMP-aided detector strikes a compelling bit error ratio vs. complexity trade-off.

Original languageEnglish
Pages (from-to)9607-9612
Number of pages6
JournalIEEE Transactions on Vehicular Technology
Issue number9
Early online date04 Aug 2021
Publication statusPublished - 17 Sept 2021
Externally publishedYes


  • approximate message passing
  • compressed sensing (CS)
  • index modulation (IM)
  • MMSE
  • OFDM

ASJC Scopus subject areas

  • Automotive Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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