TY - GEN
T1 - Quaternion-based worst case constrained beamformer based on electromagnetic vector-sensor arrays
AU - Zhang, Xirui
AU - Liu, Wei
AU - Xu, Yougen
AU - Liu, Zhiwen
PY - 2013/10
Y1 - 2013/10
N2 - A robust adaptive beamforming scheme based on two-component electromagnetic (EM) vector-sensor arrays is proposed by extending the well-known worst-case constraint into the quaternionic domain. After defining the uncertainty set of the desired signal's quaternionic steering vector, two quaternion-based constrained minimization problems are derived. We then reformulate them into two real-valued convex quadratic problems, which can be easily solved via the second-order cone (SOC) programming approach. Numerical simulations show that our quaternion-based robust beamformer significantly outperforms the sample matrix inversion minimum variance distortionless response (SMI-MVDR) beamformer and the quaternion Capon (Q-Capon) beamformer in the presence of steering vector mismatches.
AB - A robust adaptive beamforming scheme based on two-component electromagnetic (EM) vector-sensor arrays is proposed by extending the well-known worst-case constraint into the quaternionic domain. After defining the uncertainty set of the desired signal's quaternionic steering vector, two quaternion-based constrained minimization problems are derived. We then reformulate them into two real-valued convex quadratic problems, which can be easily solved via the second-order cone (SOC) programming approach. Numerical simulations show that our quaternion-based robust beamformer significantly outperforms the sample matrix inversion minimum variance distortionless response (SMI-MVDR) beamformer and the quaternion Capon (Q-Capon) beamformer in the presence of steering vector mismatches.
KW - quaternion
KW - Robust adaptive beamformer
KW - vector-sensor array
KW - worst case constraint
UR - http://www.scopus.com/inward/record.url?scp=84890498418&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2013.6638440
DO - 10.1109/ICASSP.2013.6638440
M3 - Conference article published in proceeding or book
AN - SCOPUS:84890498418
SN - 9781479903566
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 4149
EP - 4153
BT - 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings
T2 - 2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013
Y2 - 26 May 2013 through 31 May 2013
ER -