MSE lower bounds for phase estimation based on overlapped Gaussian distribution

Xiaojing Huang; Y. Jay Guo

doi:10.1109/ISCIT.2010.5665072

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 proceeding › Conference proceeding contribution › peer-review

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 language	English
Title of host publication	ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	655-660
Number of pages	6
ISBN (Print)	9781424470105
DOIs	https://doi.org/10.1109/ISCIT.2010.5665072
Publication status	Published - 2010
Externally published	Yes
Event	2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010 - Tokyo, Japan Duration: 26 Oct 2010 → 29 Oct 2010

Other

Other	2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010
Country/Territory	Japan
City	Tokyo
Period	26/10/10 → 29/10/10

Keywords

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

Access to Document

10.1109/ISCIT.2010.5665072

Cite this

@inproceedings{50e47de7def0467995d759538333432a,

title = "MSE lower bounds for phase estimation based on overlapped Gaussian distribution",

abstract = "The Cram{\'e}r-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.",

keywords = "Cram{\'e}r-Rao bound, Gaussian and Rayleigh fading channels, Mean square error, Phase estimation",

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

year = "2010",

doi = "10.1109/ISCIT.2010.5665072",

language = "English",

isbn = "9781424470105",

pages = "655--660",

booktitle = "ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies",

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

address = "United States",

note = "2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010 ; Conference date: 26-10-2010 Through 29-10-2010",

}

Huang, X & Guo, YJ 2010, MSE lower bounds for phase estimation based on overlapped Gaussian distribution. in ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies., 5665072, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 655-660, 2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010, Tokyo, Japan, 26/10/10. https://doi.org/10.1109/ISCIT.2010.5665072

MSE lower bounds for phase estimation based on overlapped Gaussian distribution. / Huang, Xiaojing; Guo, Y. Jay.
ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2010. p. 655-660 5665072.

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

TY - GEN

T1 - MSE lower bounds for phase estimation based on overlapped Gaussian distribution

AU - Huang, Xiaojing

AU - Guo, Y. Jay

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Cramér-Rao bound

KW - Gaussian and Rayleigh fading channels

KW - Mean square error

KW - Phase estimation

UR - https://www.scopus.com/pages/publications/78651244155

U2 - 10.1109/ISCIT.2010.5665072

DO - 10.1109/ISCIT.2010.5665072

M3 - Conference proceeding contribution

AN - SCOPUS:78651244155

SN - 9781424470105

SP - 655

EP - 660

BT - ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010

Y2 - 26 October 2010 through 29 October 2010

ER -

MSE lower bounds for phase estimation based on overlapped Gaussian distribution

Abstract

Other

Keywords

Access to Document

Other files and links

Fingerprint

Cite this