Frequency Diverse Array Super-Resolution Design With Element Locator Polynomial Rooting Approach

Unlike traditional phased-array only generating angle-dependent beampattern, the relatively new frequency diverse array (FDA) produces an angle-range-dependent transmit beampattern that can provide many new applications. However, although phased-array physical schemes and characteristics have received much recognition, there still are many open questions about FDA physical schemes and array design. In this paper, we propose an element locator polynomial rooting approach to design super-resolution FDA, where the polynomial is constructed according to the pre-specified FDA levels to enable its roots representing the element locations of the desired FDA. Furthermore, we systematically studies the designed FDA manifold curves for detection and estimation bounds in direction finding. All theoretical results are verified by numerical simulations, which show that FDA outperforms phased-array in terms of detection and resolution thresholds.