Off-grid direction-of-arrival estimation using second-order Taylor approximation

Huiping Huang*, Hing Cheung So, Abdelhak M. Zoubir

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

20 Citations (Scopus)

Abstract

The problem of off-grid direction-of-arrival (DOA) estimation is investigated. We develop a grid-based method to jointly estimate the closest spatial frequency (the sine of DOA) grids, and the gaps between the estimated grids and the corresponding frequencies. By using a second-order Taylor approximation, the data model under the framework of joint-sparse representation is formulated. We point out an important property of the signals of interest in the model, namely the proportionality relationship, which is empirically demonstrated to be useful in the sense that it increases the probability of the mixing matrix satisfying the block restricted isometry property. Simulation examples demonstrate the effectiveness and superiority of the proposed method against several state-of-the-art grid-based approaches.
Original languageEnglish
Article number108513
JournalSignal Processing
Volume196
Online published24 Feb 2022
DOIs
Publication statusPublished - Jul 2022

Research Keywords

  • Block restricted isometry property (RIP)
  • Compressive sensing
  • Off-grid DOA estimation
  • Second-order Taylor approximation

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