Noncolocated Time-Reversal MUSIC: High-SNR Distribution of Null Spectrum

What is it about?

We derive the asymptotic distribution of the null spectrum of the well-known Multiple Signal Classification (MUSIC) in its computational Time-Reversal (TR) form. The result pertains to a single-frequency noncolocated multistatic scenario and several TR-MUSIC variants are investigated here. The analysis builds upon the first-order perturbation of the singular value decomposition and allows a simple characterization of null-spectrum moments (up to the second order). This enables a comparison in terms of spectrums stability. Finally, a numerical analysis is provided to confirm the theoretical findings.

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