This paper presents a subspace rotation based method to estimate 2-D direction-of-arrival (DOA) angles of narrowband signals radiated by far-field sources using planar and volume arrays. The new approach automatically pairs 2-D DOA angles by computing them directly from the normalized eigenvectors of a newly derived signal space matrix (SSM). This eliminates the constraint on subarray spacing and the need for a search procedure. Other advantages include adjustability in the accuracy of the DOA angles and maximum detectability of the master array. >