Two-dimensional (2D) transmit beamforming aims at focusing the transmitted energy within certain desired sector while minimizing the amount of energy in the out-of-sector regions. In this paper, we propose parsimonious formulations to the sidelobe control problem in 2D transmit beamforming with multidimensional arrays. The out-of-sector region is partitioned into a small number of subsectors where the subspace spanned by the steering vectors associated with the spatial directions within a certain subsecetor is approximated by the effective discrete- prolate spheroidal sequences associated with that subsector. Then, the sidelobe control is achieved by imposing constraints on the magnitude of the inner product between the 2D transmit beamforming weight vector and the discrete-prolate spheroidal sequences. Simulations examples are presented which show the effectiveness of the proposed formulations.

Date Published: 21 May 2015
PDF: 8 pages
Proc. SPIE 9497, Mobile Multimedia/Image Processing, Security, and Applications 2015, 94970W (21 May 2015); doi: 10.1117/12.2178339

Published in SPIE Proceedings Vol. 9497:
Mobile Multimedia/Image Processing, Security, and Applications 2015
Sos S. Agaian; Sabah A. Jassim; Eliza Yingzi Du, Editor(s)