Basic array theory

Abstract

This paper outlines basic antenna array theory with major emphasis on pattern analysis and synthesis for periodic linear and planar arrays, phased arrays, and conformal arrays. Extension is made to synthesis techniques which use computer algorithms. These include arbitrary side lobe control, shaped beams, and phase-only null steering. The subjects of random errors and phased array quantization errors are outlined.

Investigation of Low-Sidelobe Beampattern Controlling Methods for Acoustic Transmitting Array of Underwater Vehicles

“…Two methods are used to calculate the driving voltage weighting vector of the transducer array. The first method is the conventional beamforming method in which the weighting vector is calculated by phase compensation according to the geometrical positions of the elements by the plane wave model without considering the baffle effect and mutual interactions among elements [14]. The other method is the boundary element model optimization method proposed in this paper, denoted by proposed method 1, which uses Eq.…”

Localizing Lung Sounds: Eigen Basis Decomposition for Localizing Sources Within a Circular Array of Sensors

“…Works [29,30] discussed spatial aliasing effects for the case of linear arrays. Spatial aliasing in linear arrays prevented localization of all sources.…”

Lung sound localization using array of acoustic sensors

“…The calculation of the Moore-Penrose pseudo-inverse for Γ is equivalent to (17) only when Γ is not close to being singular. A robust way to calculate G is to use the Singular Value Decomposition (SVD).…”

“…Works [16], [17] discussed spatial aliasing effects for the case of linear arrays. Spatial aliasing in linear arrays prevented localization of all sources.…”