Spectral Efficiency Optimization For Millimeter Wave Multiuser MIMO Systems

Qingjiang Shi, Mingyi Hong

Research output: Contribution to journalArticle

21 Scopus citations


As a key enabling technology for 5G wireless, millimeter wave (mmWave) communication motivates the utilization of large-scale antenna arrays for achieving highly directional beamforming. However, the high cost and power consumption of RF chains stand in the way of adoption of the optimal fully digital precoding in large-array systems. To reduce the number of RF chains while still maintaining the spatial multiplexing gain of large array, a hybrid precoding architecture has been proposed for mmWave systems and received considerable interest in both industry and academia. However, the optimal hybrid precoding design has not been fully understood, especially for the multiuser MIMO case. This paper is the first work that directly addresses the nonconvex hybrid precoding problem of mmWave multi-user MIMO systems (without any approximation) by using penalty dual decomposition (PDD) method. The proposed PDD method have a guaranteed convergence to KKT solutions of the hybrid precoding problem under a mild assumption. Simulation results show that, even when both the transmitter and the receivers are equipped with the fewest RF chains that are required to support multistream transmission, hybrid precoding can still approach the performance of fully digital precoding in both the infinite resolution phase shifter case and the finite resolution phase shifter case with several bits quantization.

Original languageEnglish (US)
Pages (from-to)455-468
Number of pages14
JournalIEEE Journal on Selected Topics in Signal Processing
Issue number3
StatePublished - Jun 2018


  • BSUM
  • hybrid precoding
  • mmWave
  • penalty dual decomposition method

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