MSE lower bounds for phase estimation based on overlapped Gaussian distribution

Xiaojing Huang*, Y. Jay Guo

*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

The Cramér-Rao bound (CRB) has been widely used as a mean square error (MSE) lower bound for unbiased parameter estimations. For phase estimation, however, the CRB is not valid at low signal-to-noise ratio (SNR) due to the effect of phase wrapping. In this paper, closed-form approximations of the MSE lower bounds for the phase estimation are derived under both Gaussian and Rayleigh fading channels, which are particularly useful at low SNR. The derivation is based on an overlapped Gaussian distribution which is used to approximate the true posterior phase distribution. Analytical and simulation results show that the derived closed-form MSE lower bounds provide more meaningful indications to the phase estimation performance than the CRB.

Original languageEnglish
Title of host publicationISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages655-660
Number of pages6
ISBN (Print)9781424470105
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010 - Tokyo, Japan
Duration: 26 Oct 201029 Oct 2010

Other

Other2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010
CountryJapan
CityTokyo
Period26/10/1029/10/10

Keywords

  • Cramér-Rao bound
  • Gaussian and Rayleigh fading channels
  • Mean square error
  • Phase estimation

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