Application of the Levenberg-Marquardt Scheme to the MUSIC Algorithm for AOA Estimation

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 e...

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Bibliographic Details
Published in:International journal of antennas and propagation Vol. 2013; no. 2013; pp. 1 - 8
Main Authors: Lee, Joon-Ho, Cho, Sung-Woo, Jeong, So-Hee
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Puplishing Corporation 01.01.2013
Hindawi Publishing Corporation
Wiley
Subjects:
Algorithms
Arrays
Computer simulation
Convergence
Elevation
Least squares method
Signal classification
ISSN:1687-5869, 1687-5877
Online Access:Get full text
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Summary: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.
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ISSN:1687-5869
1687-5877
DOI:10.1155/2013/402842