Title :
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
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;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2015.2417507
