Regularized Zero-Forcing Aided Hybrid Beamforming for Millimeter-Wave Multi-user MIMO Systems

H. Yu, H. D. Tuan, E. Dutkiewicz, H. V. Poor, L. Hanzo

Research output: Contribution to journalArticlepeer-review


This paper considers hybrid beamforming consisting of analog beamforming (ABF) coupled with digital baseband beamforming (DBF) which is designed for multi-user (MU) multiple input multiple output (MIMO) millimeter-wave (mmWave) communications. ABF uses a limited number of radio frequency (RF) chains and finite-resolution phase-shifters to alleviate the power consumption at the base station (BS), while DBF uses either zero-forcing beamforming (ZFB) or regularized zero forcing beamforming (RZFB) to restrain MU interference. The joint design of ABF and DBF constitutes a computationally challenging mixed discrete continuous optimization problem. The paper develops efficient algorithms for its solution, which iterate scalable-complex expressions. Furthermore, we conceive a new class of MU RZFB for attaining higher rates. Simulations are provided to demonstrate the viability of the proposed algorithms and the advantages of the conceived RZFB.

Original languageEnglish (US)
Pages (from-to)1
Number of pages1
JournalIEEE Transactions on Wireless Communications
StateAccepted/In press - 2022

All Science Journal Classification (ASJC) codes

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


  • Array signal processing
  • Baseband
  • Brunn-Minkowski geometry
  • MIMO communication
  • Millimeter wave communication
  • Multi-user multiple-input-multiple-output millimeter-wave communications
  • Optimization
  • Radio frequency
  • Transmission line matrix methods
  • analog beamforming with b-bit resolution
  • hybrid beamforming
  • mixed discrete continuous optimization
  • regularized zero-forcing beamforming
  • scalable complexity
  • zero-forcing beamforming


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