Sensor Locator Polynomial: A Differential Geometry Approach to Linear Array Design

It is well-known that the sensor characteristics and their physical arrangement place fundamental limitations on the ultimate capabilities of an array system. In this paper, the design of linear arrays, tailored to the so-called direction-finding (DF) algorithms, is considered. The proposed design approach is superresolution based on the differential geometry of the . The novel concept of a is array manifold sensor locator polynomial presented and its properties are investigated. Then it is shown how this concept can be applied to the design of a linear array with prespecified Cramer-Rao bounds on the azimuth estimates, without recourse to optimisation. Key-Words: Differential Geometry, Linear Arrays, Array Design