Angular resolution limit of two closely-spaced point sources based on hypothesis testing

Wei Zhu, Jun Tang, Shuang Wan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Citations (Scopus)

Abstract

In this paper, we consider the statistical angular resolution limit (ARL) on resolving two closely-spaced point sources in array processing based on the framework of hypothesis testing. A more general formulation of the linearized hypothesis test is proposed and a new analytical expression of the ARL is derived. The result is more general and its superiority over previous work is verified via numerical simulations. For the first time, we also investigate the case of two identical sources where a second-order approximation is necessary. Numerical simulations show that the theoretical result agrees with the Cramér-Rao bound (CRB) criterion-based ARL with regard to the relation between the resolution limit and the signal-to-noise-ratio (SNR).

Original languageEnglish
Title of host publication2013 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Proceedings
Pages3905-3909
Number of pages5
DOIs
Publication statusPublished - 18 Oct 2013
Externally publishedYes
Event2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013 - Vancouver, BC, Canada
Duration: 26 May 201331 May 2013

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Conference

Conference2013 38th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2013
Country/TerritoryCanada
CityVancouver, BC
Period26/05/1331/05/13

Keywords

  • angular resolution limit
  • array processing
  • generalized likelihood ratio test
  • hypothesis test
  • Wald test

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