Cramer-Rao Lower Bound for DOA Estimation Using Vector and Higher-Order Sensor Arrays
Hung Chi Lai, Kristine L. Bell · 2018 52nd Asilomar Conference on Signals, Systems, and Computers · 2007
The Cramer-Rao lower bound for estimating the azimuth and elevation angles of multiple planewave sources using a line array of general nth-order sensors is derived, generalizing the results of Nehorai and Paldi (1994) [1] for vector (first order) sensors. An analytical framework using spherical harmonics is used to derive the bound and the MVDR estimator for the higher order sensor array. Theoretical and simulation results for both a single higher-order sensor and a vertical line array are presented.