Distributed Beamforming with Feedback: Convergence Analysis

The focus of this work is on the analysis of transmit beamforming schemes with a low-rate feedback link in wireless sensor/relay networks, where nodes in the network need to implement beamforming in a distributed manner. Specifically, the problem of distributed phase alignment is considered, where neither the transmitters nor the receiver has perfect channel state information, but there is a low-rate feedback link from the receiver to the transmitters. In this setting, a framework for systematically analyzing the performance of a general set of distributed beamforming schemes is proposed. To illustrate the advantage of this framework, a simple adaptive distributed beamforming scheme that was recently proposed by Mudambai et al. is studied. Two important properties for the received signal magnitude function are derived. Using these properties and the systematic framework, it is shown that the adaptive distributed beamforming scheme converges both in probability and in mean. Furthermore...

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Che Lin, Venugopal V. Veeravalli, Sean P. Meyn
• Keywords: Beamforming, Channel State Information, CORR 2008, Education, Low-rate Feedback Link