The Impact of Sensor Positioning on the Array Manifold Adham Sleiman, Student Member, IEEE, and Athanassios Manikas, Senior Member, IEEE
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 51, NO. 9, SEPTEMBER 2003 2227 The Impact of Sensor Positioning on the Array Manifold Adham Sleiman, Student Member, IEEE, and Athanassios Manikas, Senior Member, IEEE Abstract—A framework is presented in this study which the importance or relevance of a sensor’s position in the array analyzes the importance of each sensor in an antenna array for an application-specific criterion in the area of detection and based on its location in the overall geometry. Moving away from resolution capabilities of the array have been investigated in [1], the conventional methods of measuring sensor importance by means of application-specific criteria, a new approach, based [2]. Other criteria have lead to the design of arrays with the aim on the array manifold and its differential geometry, is used to of maximizing the mainlobe to sidelobe ratio while minimizing measure the significance of each sensor’s position in an array. By the 3 dB range of the mainlobe through Fourier, Dolph–Cheby- considering two-dimensional manifolds (function of azimuth and shev, Taylor and other synthesis techniques [3]–[8]. elevation angles) of planar arrays of isotropic sensors, and by using previously established results on the differential geometry By realising that the performance of an array system under a of such manifolds, a sensitivity analysis is performed which specific application is closely related to the manifold subtended leads to characterization and quantification of sensor location by this array, it becomes apparent that the importance of a sensor importance in an array geometry. Based on this framework, a criterion is developed for assessing an overall geometry.
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