Closed-form MSE performance for phase estimation from Gaussian reference signals

Xiaojing Huang*, Y. Jay Guo

*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

In many communications and signal processing applications, phase information carried on Gaussian distributed reference signals is often required for various purposes, such as the carrier frequency offset estimation in orthogonal frequency division multiplexing (OFDM) systems. The performance of phase estimation is usually measured by the mean square error (MSE) which is often infeasible to obtain. Instead, the Cramér-Rao Bound (CRB) and modified Cramér-Rao Bound (MCRB) are used to give lower MSE bounds for the phase estimation. This paper presents closed-form MSE approximations for estimating phase information from Gaussian reference signals, which provide better indications of the MSE performance than the MCRB. It is also shown that the MCRB is only attainable at high signal-to-noise ratios and with large number of observed signal samples. Simulated and analytical results are compared to demonstrate the accuracy and efficiency of the derived MSE formulas.

Original languageEnglish
Title of host publication11th International Symposium on Communications and Information Technologies
Subtitle of host publicationISCIT 2011
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages154-158
Number of pages5
ISBN (Electronic)9781457712951, 9781457712937
ISBN (Print)9781457712944
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event11th International Symposium on Communications and Information Technologies, ISCIT 2011 - Hangzhou, China
Duration: 12 Oct 201114 Oct 2011

Other

Other11th International Symposium on Communications and Information Technologies, ISCIT 2011
CountryChina
CityHangzhou
Period12/10/1114/10/11

Keywords

  • Cramér-Rao bound
  • mean square error
  • modified Cramér-Rao bound
  • Phase estimation

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