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

Technical Report ERGO 08-003

P.-J. Chung, H. Du and J. Gondzio

Transmit beamforming is a powerful technique for enhancing performance of wireless communication systems. Most existing transmit beamforming techniques require perfect channel state information at the transmitter (CSIT), which is typically not available in practice. In such situations, the design should take errors in CSIT into account to avoid performance degradation. Among two popular robust designs, the stochastic approach exploits channel statistics and optimizes the average system performance. The maximin approach considers errors as deterministic and optimizes the worst-case performance. The latter usually leads to conservative results as the extreme (but rare) conditions may occur at a very low probability. In this work, we propose a more flexible approach that maximizes the average signal-to-noise ratio (SNR) and takes the extreme conditions into account proportionally. Simulation results show that the proposed beamformer offers higher robustness against channel estimation errors than several popular transmit beamformers.

Key words: Wireless Communication Systems, Beamforming, Probabilistic Constraints, Robust Optimization.

PDF ERGO08-003.pdf.
Written: 29 Sept, 2008, revised 18 Feb, 2009.
Accepted for publication in: EUSIPCO-2009.