Asymptotic Analysis of RLS-Based Digital Precoder with Limited PAPR in Massive MIMO

Xiuxiu Ma, Abla Kammoun, Ayed M. Alrashdi, Tarig Ballal, Mohamed Slim Alouini, Tareq Y. Al-Naffouri

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper focuses on the performance analysis of a class of limited peak-to-average power ratio (PAPR) precoders for downlink multi-user massive multiple-input multiple-output (MIMO) systems. Contrary to conventional precoding approaches based on simple linear precoders such as maximum ratio transmission (MRT) and regularized zero-forcing (RZF), the precoders in this paper are obtained by solving a convex optimization problem. To be specific, these precoders are designed so that the power of each precoded symbol entry is restricted, and the PAPR at each antenna is tunable. By using the Convex Gaussian Min-max Theorem (CGMT), we analytically characterize the empirical distribution of the precoded vector and the joint empirical distribution between the distortion and the intended symbol vector. This allows us to study the performance of these precoders in terms of per-antenna power, per-user distortion power, signal-to-noise and distortion ratio (SINAD), and bit error probability. We show that for this class of precoders, there is an optimal transmit per-antenna power that maximizes the system performance in terms of SINAD and bit error probability.
Original languageEnglish (US)
Pages (from-to)5488-5503
Number of pages16
JournalIEEE Transactions on Signal Processing
StatePublished - 2022


  • Gaussian processes
  • Precoding
  • asymptotic performance analysis
  • convex Gaussian min-max theorem
  • limited PAPR
  • regularized least squares


Dive into the research topics of 'Asymptotic Analysis of RLS-Based Digital Precoder with Limited PAPR in Massive MIMO'. Together they form a unique fingerprint.

Cite this