TY - GEN
T1 - Theoretical solutions of pattern synthesis for a circular array mounted on cylinders
AU - Wang, Yong
AU - Yang, Yixin
AU - He, Zhengyao
AU - Wang, Honglei
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/11/20
Y1 - 2014/11/20
N2 - A circular array mounted on coated cylinders is considered and its theoretical accurate solutions of pattern synthesis are derived. Based on the sound scattering theory, the sound field can be calculated easily. Since the criterion is to minimize the square error between the desired and synthesized beampattern, the optimal weighting vector, the output beam, and the minimum square error can be all decomposed into several subsolutions respectively by utilizing the properties of circulant matrix. Moreover, all of the expressions will be in closed-form when the desired beampattern is formulated properly. These results provide more effective and convenient schemes to design various beamformers, e.g., superdirective beamformer, frequency-invariant beamformer, etc. Some illustrative examples are given to show the advantages of these schemes.
AB - A circular array mounted on coated cylinders is considered and its theoretical accurate solutions of pattern synthesis are derived. Based on the sound scattering theory, the sound field can be calculated easily. Since the criterion is to minimize the square error between the desired and synthesized beampattern, the optimal weighting vector, the output beam, and the minimum square error can be all decomposed into several subsolutions respectively by utilizing the properties of circulant matrix. Moreover, all of the expressions will be in closed-form when the desired beampattern is formulated properly. These results provide more effective and convenient schemes to design various beamformers, e.g., superdirective beamformer, frequency-invariant beamformer, etc. Some illustrative examples are given to show the advantages of these schemes.
KW - beamforming
KW - circular arrays
KW - infinite coated cylinder
KW - pattern synthesis
UR - http://www.scopus.com/inward/record.url?scp=84918559961&partnerID=8YFLogxK
U2 - 10.1109/OCEANS-TAIPEI.2014.6964541
DO - 10.1109/OCEANS-TAIPEI.2014.6964541
M3 - 会议稿件
AN - SCOPUS:84918559961
T3 - OCEANS 2014 - TAIPEI
BT - OCEANS 2014 - TAIPEI
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - OCEANS 2014 MTS/IEEE Taipei Conference: Oceans Regeneration
Y2 - 7 April 2014 through 10 April 2014
ER -