Title
Unitary root-MUSIC with a real-valued eigendecomposition: a theoretical and experimental performance study
Abstract
A real-valued (unitary) formulation of the popular root-MUSIC direction-of-arrival (DOA) estimation technique is considered. This unitary root-MUSIC algorithm reduces the computational complexity in the eigenanalysis stage of root-MUSIC because it exploits the eigendecomposition of a real-valued covariance matrix. The asymptotic performance of unitary root-MUSIC is analyzed and compared with that of conventional root-MUSIC. The results of this comparison show identical asymptotic properties of both algorithms in the case of uncorrelated sources and a better performance of unitary root-MUSIC in scenarios with partially correlated or fully coherent sources. Additionally, our simulations and the results of sonar and ultrasonic real data processing demonstrate an improved threshold performance of unitary root-MUSIC relative to conventional root-MUSIC. It can be then recommended that, as a rule, the unitary root-MUSIC technique should be preferred by the user to the conventional root-MUSIC algorithm
Year
DOI
Venue
2000
10.1109/78.839978
IEEE Transactions on Signal Processing
Keywords
Field
DocType
array signal processing,computational complexity,covariance matrices,direction-of-arrival estimation,eigenvalues and eigenfunctions,matrix decomposition,signal classification,sonar signal processing,ultrasonics,DOA estimation,asymptotic performance,coherent sources,computational complexity reduction,direction-of-arrival estimation,eigenanalysis,experiment,partially correlated sources,real-valued covariance matrix,real-valued eigendecomposition,root-MUSIC,simulations,sonar real data processing,ultrasonic real data processing,uncorrelated sources,uniform linear array,unitary root-MUSIC algorithm
Control theory,Matrix decomposition,Algorithm,Speech recognition,Unitary state,Eigendecomposition of a matrix,Covariance matrix,Asymptotic analysis,Eigenvalues and eigenvectors,Sonar signal processing,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
48
5
1053-587X
Citations 
PageRank 
References 
59
3.25
20
Authors
3
Name
Order
Citations
PageRank
M. Pesavento116311.57
A.B. Gershman22212152.13
M. Haardt349545.19