Statistical resolution limit based on cramer-rao bound

Dinghong Lu, Yang Li*, Chaojie Liang

*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

An extension study of Smith's result is proposed. An exact Cramer-Rao bound expression of frequency difference is deduced. The Cramer-Rao bound expression is analyzed asymptotically for the closely spaced targets case. A general close form of statistical resolution limit(SRL)is provided based on the asymptotic results. The SRL proposed is a function of power ratio, phase difference, and SNR. It is found that the power ratio and phase difference affect the relationship between SRL and SNR severely in further examination of the effect of the power ratio and phase difference. Maximum likelihood Estimation (MLE) simulation results shows that the variance of the MLE is close to the CRB in the resolvable area, but departs the CRB at the predicted resolution limit point. Simulation results proved that the statistical resolution limit proposed is correct and accurate.

Original languageEnglish
Title of host publicationIET International Radar Conference 2013
Edition617 CP
DOIs
Publication statusPublished - 2013
EventIET International Radar Conference 2013 - Xi'an, China
Duration: 14 Apr 201316 Apr 2013

Publication series

NameIET Conference Publications
Number617 CP
Volume2013

Conference

ConferenceIET International Radar Conference 2013
Country/TerritoryChina
CityXi'an
Period14/04/1316/04/13

Keywords

  • Closely spaced targets
  • Cramer-rao bound
  • Smith's criteria
  • Statistical resolution limit

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Lu, D., Li, Y., & Liang, C. (2013). Statistical resolution limit based on cramer-rao bound. In IET International Radar Conference 2013 (617 CP ed.). Article 0384 (IET Conference Publications; Vol. 2013, No. 617 CP). https://doi.org/10.1049/cp.2013.0384