Performance Analysis of Time-Reversal MUSIC

Author

Ciuonzo, Domenico ; Romano, Gianmarco ; Solimene, Raffaele

Author_Institution

Dept. of Electr. Eng. & Inf. Technol. (DIETI), Univ. of Naples “Federico II”, Naples, Italy

Volume

63

Issue

10

fYear

2015

fDate

15-May-15

Firstpage

2650

Lastpage

2662

Abstract

In this paper, we study the performance of multiple signal classification (MUSIC) in computational time-reversal (TR) applications. The analysis builds upon classical results on first-order perturbation of singular value decomposition. The closed form of mean-squared error (MSE) matrix of TR-MUSIC is derived for the single-frequency case in both multistatic co-located and non co-located scenarios. The proposed analysis is compared with Cramér-Rao lower-bound (CRLB), and it is exploited for comparison of TR-MUSIC when linear and (nonlinear) multiple-scattering is present. Finally, a numerical analysis is provided to confirm the theoretical findings.

Keywords

matrix algebra; mean square error methods; signal classification; singular value decomposition; CRLB; Cramér-Rao lower-bound; MSE matrix; TR MUSIC application; computational time-reversal application; firstorder perturbation; mean-squared error matrix; multiple scattering; multiple signal classification; multistatic colocated scenario; noncolocated scenario; numerical analysis; singular value decomposition; Arrays; Imaging; Multiple signal classification; Performance analysis; Scattering; Symmetric matrices; Vectors; CRLB; MSE matrix; TR-MUSIC; Time-reversal; radar imaging;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2015.2417507

Filename

7069244