A Probabilistic Constraint Approach for Robust Transmit Beamforming With Imperfect Channel Information

Pei-Jung Chung, Huiqin Du, Jacek Gondzio

Research output: Contribution to journalArticlepeer-review


Transmit beamforming (or precoding) is a powerful technique for enhancing performance of wireless multiantenna communication systems. Standard transmit beamformers require perfect channel state information at the transmitter (CSIT) and are sensitive to errors in channel estimation. In practice, such errors are inevitable due to finite feedback resources, quantization errors and other physical constraints. Hence, robustness has become a crucial issue recently. Among two popular robust designs, the stochastic approach exploits channel statistics and optimizes the average system performance while the maximin approach considers errors as deterministic and optimizes the worst case performance. The latter usually leads to a very conservative design against extreme (but rare) conditions which may occur at a very low probability. In this paper, we propose a more flexible approach that maximizes the average signal-to-noise ratio (SNR) and takes the extreme conditions into account using the probability with which they may occur. Simulation results show that the proposed beamformer offers higher robustness against channel estimation errors than several popular transmit beamformers.

Original languageEnglish
Pages (from-to)2773-2782
Number of pages10
JournalIEEE Transactions on Signal Processing
Issue number6
Publication statusPublished - Jun 2011


  • Convex optimization
  • imperfect channel information
  • MIMO communications
  • probabilistic constraint
  • robust transmit beamforming


Dive into the research topics of 'A Probabilistic Constraint Approach for Robust Transmit Beamforming With Imperfect Channel Information'. Together they form a unique fingerprint.

Cite this