Study of Barankin bound vs Cramér-Rao bound for interferometric-like array design at low SNR

• DOI: 10.1016/j.sctalk.2024.100327
• Publication Date: 2024-03-21T01:23:18Z
• Authors: Jianhua Wang; Lucien Bacharach; Mohammed Nabil El...; Pascal Larzabal
• Keywords: Cramér–Rao bound

In this paper, we address the antenna array design problem at low signal-to-noise ratio (SNR). The Cramér-Rao bound (CRB) is most commonly used criterion to solve optimization due its computing simplicity and tightness in asymptotical region. However, there exists a threshold SNR which estimation variance significantly deviates from CRB. case, CRB no longer tight bound. To issue, propose use of Barankin Bound (BB) on source location intensity astrometry photometry problems as an alternative criterion. BB provides mean square error (MSE)-optimal trade-off mainlobe width sidelobe level beampattern. performance obtained geometries assessed compared by evaluating aforementioned bounds (MSE) intensity. simulation results illustrate that BB-based between increasing accuracy reducing ambiguity.