TY - JOUR
T1 - Theoretical and practical solutions for high-order superdirectivity of circular sensor arrays
AU - Ma, Yuanliang
AU - Yang, Yixin
AU - He, Zhengyao
AU - Yang, Kunde
AU - Sun, Chao
AU - Wang, Yingmin
PY - 2013
Y1 - 2013
N2 - An analytical and closed-form optimal solution expressed in elementary functions for superdirectivity of a circular sensor array is proposed in this paper. By utilizing the circulant property of the data covariance matrix for circular sensor arrays, such solutions are derived to accurately calculate the optimal beamforming vector, optimal beam pattern, corresponding directivity factor, and eigenbeams. Based on these solutions, it is proved that such array possesses several important properties which facilitate an eigenbeam decomposition and synthesis approach for practical implementations. Experiments conducted result in superdirective beams which contain zeroth-to fifth-and sixth-order eigenbeams. As a typical result, the superdirective beam which contains zeroth-to fifth-order eigenbeams has a 28° beamwidth and a 12-dB directivity index with a small circular array radius of 0.267 wavelength.
AB - An analytical and closed-form optimal solution expressed in elementary functions for superdirectivity of a circular sensor array is proposed in this paper. By utilizing the circulant property of the data covariance matrix for circular sensor arrays, such solutions are derived to accurately calculate the optimal beamforming vector, optimal beam pattern, corresponding directivity factor, and eigenbeams. Based on these solutions, it is proved that such array possesses several important properties which facilitate an eigenbeam decomposition and synthesis approach for practical implementations. Experiments conducted result in superdirective beams which contain zeroth-to fifth-and sixth-order eigenbeams. As a typical result, the superdirective beam which contains zeroth-to fifth-order eigenbeams has a 28° beamwidth and a 12-dB directivity index with a small circular array radius of 0.267 wavelength.
KW - Circular sensor array
KW - high-order superdirectivity
KW - optimal beamforming
KW - sonar signal processing
UR - http://www.scopus.com/inward/record.url?scp=84866304107&partnerID=8YFLogxK
U2 - 10.1109/TIE.2012.2185020
DO - 10.1109/TIE.2012.2185020
M3 - 文章
AN - SCOPUS:84866304107
SN - 0278-0046
VL - 60
SP - 203
EP - 209
JO - IEEE Transactions on Industrial Electronics
JF - IEEE Transactions on Industrial Electronics
IS - 1
M1 - 6134656
ER -