Robust Design of IRS-Aided Multi-group Multicast System with Imperfect CSI

Weiheng Jiang, Peiyun Xiong, Jiangtian Nie, Zhiguo Ding, Cunhua Pan, Zehui Xiong

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this paper, the robust design for the intelligent reflective surface (IRS) assisted wireless multi-group multicast system is considered, in which two optimization design problems under two different channel state information (CSI) error models are separately discussed, i.e., the fairness-based problems and the quality-of-service (QoS)-based problems for both the bounded CSI error model and the statistical CSI error model. In order to deal with the non-convex constraints of the considered problems, i.e., bounded CSI error based constraint and statistical CSI error based constraint, S-procedure is adopted to convert the non-convex SINR constraint with bounded CSI error into linear matrix inequalities (LMIs), and the Bernstein-type inequality is utilized to transform the outage probability constraint with statistical CSI error into a second-order cone (SOC) constraint and linear inequalities. Following that, two efficient algorithms based on alternate optimization (AO) are proposed to solve the fairness problems and QoS problems, wherein the semi-definite programming (SDP), penalty convex-concave procedure (CCP) and semi-definite relaxation (SDR) are utilized. Furthermore, we analyze the complexity of the proposed algorithms. Finally, some numerical simulation results are presented to verify the effectiveness of the proposed algorithms, and the impacts of the CSI error and the discrete precision of IRS reflection phase shift on the system performance are analyzed, which provides some insights for the IRS deployment and system robust design.

Original languageBritish English
Pages (from-to)1
Number of pages1
JournalIEEE Transactions on Wireless Communications
StateAccepted/In press - 2023


  • Array signal processing
  • beamforming
  • Communication system security
  • fairness
  • imperfect CSI
  • Intelligent reflecting surface
  • Interference
  • multi-group multicast
  • Optimization
  • QoS
  • Quality of service
  • Signal to noise ratio
  • Wireless communication


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