Accelerated Randomized Methods for Receiver Design in Extra-Large Scale MIMO Arrays

Victor Croisfelt Rodrigues, Abolfazl Amiri, Taufik Abrão, Elisabeth De Carvalho, Petar Popovski

Research output: Contribution to journalJournal articleResearchpeer-review


Massive multiple-input-multiple-output (M-MIMO) features a capability for spatial multiplexing of large number of users. This number becomes even more extreme in extra- large (XL-MIMO), a variant of M-MIMO where the antenna array is of very large size. Yet, the problem of signal processing complexity in M-MIMO is further exacerbated by the XL size of the array. The basic processing problem boils down to a sparse system of linear equations that can be addressed by the randomized Kaczmarz (RK) algorithm. This algorithm has re- cently been applied to devise low-complexity M-MIMO receivers; however, it is limited by the fact that certain configurations of the linear equations may significantly deteriorate the performance of the RK algorithm. In this paper, we embrace the interest in accelerated RK algorithms and introduce three new RK-based low-complexity receiver designs. In our experiments, our methods are not only able to overcome the previous scheme, but they are more robust against inter-user interference (IUI) and sparse channel matrices arising in the XL-MIMO regime. In addition, we show that the RK-based schemes use a mechanism similar to that used by successive interference cancellation (SIC) receivers to approximate the regularized zero-forcing (RZF) scheme.

Original languageEnglish
JournalI E E E Transactions on Vehicular Technology
Number of pages12
Publication statusE-pub ahead of print - 21 May 2021


  • Antenna arrays
  • Approximation algorithms
  • Complexity theory
  • MIMO communication
  • Mathematical model
  • Receivers
  • Signal processing algorithms
  • massive MIMO; extra-large scale massive MIMO; randomized Kaczmarz algorithm; receiver design

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