Application of the Levenberg-Marquardt Scheme to the MUSIC Algorithm for AOA Estimation. (27th August 2013)

• Record Type: Journal Article
• Authors: Lee, Joon-Ho; Cho, Sung-Woo; Jeong, So-Hee
• Other Names: Weile Daniel S. Academic Editor.
• Is Part Of: International journal of antennas and propagation. Volume 2013(2013)
• Publication Date: 2013-08-27
• Subjects: Electronic apparatus and appliances -- Periodicals; Antennas (Electronics) -- Periodicals; Radio wave propagation -- Periodicals; Antennes (Électronique); Ondes radioélectriques -- Propagation; Antennas (Electronics); Electronic apparatus and appliances; Radio wave propagation; Electronic journals; Periodicals; 621.382405
• DOI: 10.1155/2013/402842
• Languages: English
• ISSNs: 1687-5869

Abstract

Abstract : We note that the cost function of the MUSIC (multiple signal classification) algorithm is quadratic in an array vector and that it can be expressed in a least squares form. Based on this observation, we present a rigorous Levenberg-Marquardt (LM) formulation of the MUSIC algorithm for simultaneous estimation of an azimuth and an elevation. We show a convergence property and compare the performance of the LM-based MUSIC algorithm with that of the standard MUSIC algorithm via Monte-Carlo simulation. We also compare the performance of the MUSIC algorithm with that of the Capon algorithm both for the standard implementation and for the LM-based implementation.