TY - GEN
T1 - Network beamforming based on second order statistics of the channel state information
AU - Havary-Nassab, Veria
AU - Shahbazpanahi, Shahram
AU - Grami, Ali
AU - Luo, Zhi Quan
PY - 2008
Y1 - 2008
N2 - The problem of distributed beamforming is considered for a network which consists of a transmitter, a receiver, and r relay nodes. Assuming that the second order statistics of the channel coefficients are available, we design a distributed beamforming technique via maximization of the receiver signal-to-noise ratio (SNR) subject to individual relay power constraints. We show that using semi-definite relaxation, this SNR maximization can be turned into a convex feasibility semi-definite programming problem, and therefore, it can be efficiently solved using interior point methods. We also obtain a performance bound for the semi-definite relaxation and show that the semi-definite relaxation approach provides a c-approximation to the (nonconvex) SNR maximization problem, where c = O((log r)-1) and r is the number of relays.
AB - The problem of distributed beamforming is considered for a network which consists of a transmitter, a receiver, and r relay nodes. Assuming that the second order statistics of the channel coefficients are available, we design a distributed beamforming technique via maximization of the receiver signal-to-noise ratio (SNR) subject to individual relay power constraints. We show that using semi-definite relaxation, this SNR maximization can be turned into a convex feasibility semi-definite programming problem, and therefore, it can be efficiently solved using interior point methods. We also obtain a performance bound for the semi-definite relaxation and show that the semi-definite relaxation approach provides a c-approximation to the (nonconvex) SNR maximization problem, where c = O((log r)-1) and r is the number of relays.
KW - Convex feasibility problem
KW - Distributed beamforming
KW - Distributed signal processing
KW - Relay networks
KW - Semi-definite programming
UR - http://www.scopus.com/inward/record.url?scp=51449118792&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=51449118792&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2008.4518182
DO - 10.1109/ICASSP.2008.4518182
M3 - Conference contribution
AN - SCOPUS:51449118792
SN - 1424414849
SN - 9781424414840
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 2605
EP - 2608
BT - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
T2 - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
Y2 - 31 March 2008 through 4 April 2008
ER -