Wavenumber-Domain Virtual Arrays for Holographic Near-Field Localization

Giovanni Iacovelli; Chandan Kumar Sheemar; Symeon Chatzinotas

Wavenumber-Domain Virtual Arrays for Holographic Near-Field Localization

Signal Processing 2026-08-10 v1

Authors: Giovanni Iacovelli , Chandan Kumar Sheemar , Symeon Chatzinotas

Abstract

Monostatic localization of multiple point targets is studied for a holographic aperture operated through wavenumber-domain modes. A specular-point condition delimits the validity of the spectral model as a near-field approximation. A single snapshot observes a projection of dimension at most the target count times the polarization components, while invertible coding recovers the full channel and places the decoded data on the difference lattice of transmit and receive wavenumbers. Rank conditions settle identifiability, and the Fisher matrix reduces to a covariance over the lattice, dictating a nested mode selection that attains full-aperture resolution with only tens of RF chains.

Keywords

holographic aperture near-field localization wavenumber-domain modes monostatic radar identifiability Fisher information nested mode selection

Cite

@article{arxiv.2608.09910,
  title  = {Wavenumber-Domain Virtual Arrays for Holographic Near-Field Localization},
  author = {Giovanni Iacovelli and Chandan Kumar Sheemar and Symeon Chatzinotas},
  journal= {arXiv preprint arXiv:2608.09910},
  year   = {2026}
}