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Manifold studies of nonlinear antenna array geometries

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3 Author(s)
Manikas, A. ; Dept. of Electr. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK ; Sleiman, A. ; Dacos, I.

The manifold of a general two- or three-dimensional (2-D or 3-D) array of sensors is studied using differential geometry. By considering the azimuth and elevation angles as the parameters of interest, a manifold surface is formed embedded in a multidimensional complex space, initially, this surface is investigated by establishing a number of differential geometry parameters associated with the array manifold. Then, the concept of development is proposed for mapping manifold surfaces (embedded in a multidimensional complex space) on the real 2-D parameter plane. The proposed mapping preserves certain differential geometry characteristics of the manifold surface and provides a simplified representation for the analysis. The potential benefits of this mapping, as well as of the proposed parameters, are demonstrated in the analysis of 3-D and planar arrays of omnidirectional sensors and in a number of potential applications, varying from array design to handling the array ambiguity problem

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Signal Processing, IEEE Transactions on  (Volume:49 ,  Issue: 3 )