A theoretical and experimental performance study of a root-MUSIC algorithm based on a real-valued eigendecomposition

Author

Pesavento, Marius ; Gershman, Alex B. ; Haardt, Martin

Author_Institution

Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada

Volume

5

fYear

2000

fDate

2000

Firstpage

3049

Abstract

A real-valued (unitary) formulation of the popular root-MUSIC direction-of-arrival (DOA) estimation technique is considered. This unitary root-MUSIC algorithm is shown to reduce the computational complexity in the eigenanalysis stage of root-MUSIC, because it exploits the eigendecomposition of a real-valued covariance matrix. Theoretical, numerical, and experimental results are presented showing that, additionally, unitary root-MUSIC has improved threshold and asymptotic performances relative to conventional root-MUSIC. It can be then recommended that the former technique should always be preferred to the conventional root-MUSIC algorithm

Keywords

array signal processing; computational complexity; covariance matrices; direction-of-arrival estimation; eigenstructure assignment; matrix decomposition; signal classification; DOA estimation; asymptotic performance; computational complexity reduction; direction-of-arrival estimation; eigenanalysis; experimental performance; real-valued covariance matrix; real-valued eigendecomposition; threshold performance; uniform linear array; unitary formulation; unitary root-MUSIC algorithm; Computational complexity; Councils; Covariance matrix; Direction of arrival estimation; Multiple signal classification; Narrowband; Sensor arrays; Sparse matrices; Stress; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings. 2000 IEEE International Conference on

Conference_Location

Istanbul

ISSN

1520-6149

Print_ISBN

0-7803-6293-4

Type

conf

DOI

10.1109/ICASSP.2000.861179

Filename

861179