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

Xiaojing Huang; Y. Jay Guo

doi:10.1109/ISCIT.2011.6089720

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 proceeding › Conference proceeding contribution › peer-review

5 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 language	English
Title of host publication	11th International Symposium on Communications and Information Technologies
Subtitle of host publication	ISCIT 2011
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	154-158
Number of pages	5
ISBN (Electronic)	9781457712951, 9781457712937
ISBN (Print)	9781457712944
DOIs	https://doi.org/10.1109/ISCIT.2011.6089720
Publication status	Published - 2011
Externally published	Yes
Event	11th International Symposium on Communications and Information Technologies, ISCIT 2011 - Hangzhou, China Duration: 12 Oct 2011 → 14 Oct 2011

Other

Other	11th International Symposium on Communications and Information Technologies, ISCIT 2011
Country/Territory	China
City	Hangzhou
Period	12/10/11 → 14/10/11

Keywords

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

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10.1109/ISCIT.2011.6089720

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title = "Closed-form MSE performance for phase estimation from Gaussian reference signals",

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 Cram{\'e}r-Rao Bound (CRB) and modified Cram{\'e}r-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.",

keywords = "Cram{\'e}r-Rao bound, mean square error, modified Cram{\'e}r-Rao bound, Phase estimation",

author = "Xiaojing Huang and Guo, {Y. Jay}",

year = "2011",

doi = "10.1109/ISCIT.2011.6089720",

language = "English",

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pages = "154--158",

booktitle = "11th International Symposium on Communications and Information Technologies",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "11th International Symposium on Communications and Information Technologies, ISCIT 2011 ; Conference date: 12-10-2011 Through 14-10-2011",

}

Huang, X & Guo, YJ 2011, Closed-form MSE performance for phase estimation from Gaussian reference signals. in 11th International Symposium on Communications and Information Technologies: ISCIT 2011., 6089720, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 154-158, 11th International Symposium on Communications and Information Technologies, ISCIT 2011, Hangzhou, China, 12/10/11. https://doi.org/10.1109/ISCIT.2011.6089720

Closed-form MSE performance for phase estimation from Gaussian reference signals. / Huang, Xiaojing; Guo, Y. Jay.
11th International Symposium on Communications and Information Technologies: ISCIT 2011. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2011. p. 154-158 6089720.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AU - Huang, Xiaojing

AU - Guo, Y. Jay

PY - 2011

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N2 - 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.

AB - 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.

KW - Cramér-Rao bound

KW - mean square error

KW - modified Cramér-Rao bound

KW - Phase estimation

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BT - 11th International Symposium on Communications and Information Technologies

PB - Institute of Electrical and Electronics Engineers (IEEE)

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T2 - 11th International Symposium on Communications and Information Technologies, ISCIT 2011

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ER -

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

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