DOA estimation and pairing method in 2D‐ESPRIT using triangular antenna array

Abstract

AbstractThis paper discusses the method for direction‐of‐arrival estimation by an application of 2D‐ESPRIT to a triangular planar array with an equilateral triangular lattice arrangement often used as a phased array for direction finding. It is difficult to apply the 2D‐Unitary ESPRIT to the triangular array due to its element arrangement. Instead, the 2D‐ESPRIT based on the standard ESPRIT is used. As the paring method for a multidimensional ESPRIT, the complex pairing (CP) method, simultaneous Schur decomposition (SSD), and mean eigenvalue decomposition (MEVD) have been proposed. In the case of 2D‐Unitary ESPRIT, the simple CP method can be used for an extremely accurate estimation. Since CP cannot be used for the standard ESPRIT, SSD with a high computational load and MEVD requiring introduction of a reliability test need to be used. In this paper, as a pairing method of the signal parameters, a complex mean eigenvalue expansion method is proposed that does not require a reliability test and has a low computational cost. Through computer simulation, the azimuth angle and the elevation angle of multiple waves are estimated simultaneously so that the method's effectiveness is verified. A radiation pattern synthesis for separate reception of multiple waves is attempted with multiple beam forming weights obtained in the process of 2D‐ESPRIT. The effectiveness of the synthesis method is confirmed. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 1, 86(6): 59–68, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecja.10016