English

Non-colocated Time-Reversal MUSIC: High-SNR Distribution of Null Spectrum

Information Theory 2017-04-05 v1 math.IT

Abstract

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 non-colocated multistatic scenario and several TR-MUSIC variants are here investigated. The analysis builds upon the 1st-order perturbation of the singular value decomposition and allows a simple characterization of null-spectrum moments (up to the 2nd order). This enables a comparison in terms of spectrums stability. Finally, a numerical analysis is provided to confirm the theoretical findings.

Keywords

Cite

@article{arxiv.1701.07516,
  title  = {Non-colocated Time-Reversal MUSIC: High-SNR Distribution of Null Spectrum},
  author = {D. Ciuonzo and P. Salvo Rossi},
  journal= {arXiv preprint arXiv:1701.07516},
  year   = {2017}
}

Comments

accepted in IEEE Signal Processing Letters