Reduction of Cramer-Rao Bound in Arbitrary Pre-designed Arrays Using Altering an Element Position

Abstract

<p>Simultaneous estimation of the range and the angle of close emitters usually requires a multidimensional search. This paper proposes an<br />algorithm to improve the position of an element for arrays designed on the basis of some certain or random rules. In the proposed method,<br />one element moves along the same previous direction, maintaining its vertical distance from each source, to reach a constellation with less<br />Cramer-Rao Bound (CRB). The efficiency of this method has been demonstrated through simulation and a comparative study has been<br />conducted, contrasting both the CRB and the determinant of the received signal's covariance matrix before and after applying our proposed<br />scheme.</p>