Probability of Resolution of MUSIC and g-MUSIC: An Asymptotic Approach


Por: Schenck D., Mestre X., Pesavento M.

Publicada: 1 ene 2022 Ahead of Print: 1 ene 2022
Resumen:
In this article, the outlier production mechanism of the conventional Multiple Signal Classification (MUSIC) and the g-MUSIC Direction-of-Arrival (DoA) estimation technique is investigated using tools from Random Matrix Theory (RMT). A general Central Limit Theorem (CLT) is derived that allows to analyze the asymptotic stochastic behavior of eigenvector-based cost functions in the asymptotic regime where the number of snapshots and the number of antennas increase without bound at the same rate. Furthermore, this CLT is used to provide an accurate prediction of the resolution capabilities of the MUSIC and the g-MUSIC DoA estimation method. The finite dimensional distribution of the MUSIC and the g-MUSIC cost function is shown to be asymptotically jointly Gaussian distributed in this asymptotic regime. © 1991-2012 IEEE.

Filiaciones:
Schenck D.:
 Communication Systems Group, Technische Universitat Darmstadt, Darmstadt, Germany

Mestre X.:
 Centre Tecnològic de Telecomunicacions de Catalunya, Castelldefels, Spain

Pesavento M.:
 Communication Systems Group, Technische Universitat Darmstadt, Darmstadt, Germany
ISSN: 19410476
Editorial
Institute of Electrical and Electronics Engineers Inc., 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA, Estados Unidos America
Tipo de documento: Article
Volumen: 70 Número:
Páginas: 3566-3581
WOS Id: 000829173000006
imagen Green Submitted, All Open Access; Green Open Access

FULL TEXT

imagen Accepted Version

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