On Wilks' Theorem for Generalized Likelihood Ratio Test Performance of Cooperative Radar-Communications

Touseef Ali, Akshay S. Bondre, Christ D. Richmond

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The analysis of the generalized likelihood ratio test (GLRT) radar receiver when the radar is coexisting with a cooperative in-band communication (comm.) system is challenged by the discrete nature of the comm. symbols. While the asymptotic performance of the GLRT can be well-approximated by using the Fisher information matrix (FIM) for the Cramér-Rao bound (CRB) via Wilks' theorem, this only applies when the underlying data distribution for each hypothesis is continuous in the parameters. Thus, to accommodate the discrete nature of the comm. symbols an adaptation to Wilks' theorem is proposed in this work that uses the constrained CRB (CCRB) in place of the usual unconstrained CRB.

Original languageEnglish (US)
Title of host publication2020 IEEE Radar Conference, RadarConf 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728189420
DOIs
StatePublished - Sep 21 2020
Externally publishedYes
Event2020 IEEE Radar Conference, RadarConf 2020 - Florence, Italy
Duration: Sep 21 2020Sep 25 2020

Publication series

NameIEEE National Radar Conference - Proceedings
Volume2020-September
ISSN (Print)1097-5659

Conference

Conference2020 IEEE Radar Conference, RadarConf 2020
Country/TerritoryItaly
CityFlorence
Period9/21/209/25/20

Keywords

  • constrained CRB
  • Cooperative radar-communications
  • Cramér-Rao bound (CRB)
  • GLRT
  • maximum-likelihood
  • radar detection
  • RF convergence
  • shared spectrum
  • Wilks

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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