MSE bounds for phase estimation in presence of recursive nuisance parameters

Xiaojing Huang; Y. Jay Guo

doi:10.1109/GLOCOM.2009.5425566

MSE bounds for phase estimation in presence of recursive nuisance parameters

Xiaojing Huang^*, Y. Jay Guo

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The mean squared error (MSE) is commonly used to measure and compare the performance of various phase estimation techniques in communications and signal processing systems. When the received signal contains recursive nuisance parameters, the MSE is extremely difficult to obtain and even the conventional modified Cramér-Rao bound (MCRB) can not be readily applied. In this paper, a recursive MSE bound and its simplified calculation method are proposed to solve the problem. As an application example, an adaptive hybrid antenna array and its associated angle-of-arrival (AoA) estimation technique are presented. The MSE of the AoA estimation is simulated and compared with the recursive MSE bound and MCRB. The results show that the proposed recursive MSE bound provides a tighter lower MSE bound than the recursive MCRB.

Original language	English
Title of host publication	2009 IEEE Global Telecommunications Conference, GLOBECOM 2009
Place of Publication	Pistacaway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1-5
Number of pages	5
ISBN (Print)	9781424441488
DOIs	https://doi.org/10.1109/GLOCOM.2009.5425566
Publication status	Published - 2009
Externally published	Yes
Event	2009 IEEE Global Telecommunications Conference, GLOBECOM 2009 - Honolulu, HI, United States Duration: 30 Nov 2009 → 4 Dec 2009

Other

Other	2009 IEEE Global Telecommunications Conference, GLOBECOM 2009
Country/Territory	United States
City	Honolulu, HI
Period	30/11/09 → 4/12/09

Keywords

And Modified Cramér
Cramér-Rao bound
Mean squared error
Phase estimation
Rao bound

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10.1109/GLOCOM.2009.5425566

Cite this

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title = "MSE bounds for phase estimation in presence of recursive nuisance parameters",

abstract = "The mean squared error (MSE) is commonly used to measure and compare the performance of various phase estimation techniques in communications and signal processing systems. When the received signal contains recursive nuisance parameters, the MSE is extremely difficult to obtain and even the conventional modified Cram{\'e}r-Rao bound (MCRB) can not be readily applied. In this paper, a recursive MSE bound and its simplified calculation method are proposed to solve the problem. As an application example, an adaptive hybrid antenna array and its associated angle-of-arrival (AoA) estimation technique are presented. The MSE of the AoA estimation is simulated and compared with the recursive MSE bound and MCRB. The results show that the proposed recursive MSE bound provides a tighter lower MSE bound than the recursive MCRB.",

keywords = "And Modified Cram{\'e}r, Cram{\'e}r-Rao bound, Mean squared error, Phase estimation, Rao bound",

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

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booktitle = "2009 IEEE Global Telecommunications Conference, GLOBECOM 2009",

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

address = "United States",

note = "2009 IEEE Global Telecommunications Conference, GLOBECOM 2009 ; Conference date: 30-11-2009 Through 04-12-2009",

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Huang, X & Guo, YJ 2009, MSE bounds for phase estimation in presence of recursive nuisance parameters. in 2009 IEEE Global Telecommunications Conference, GLOBECOM 2009., 5425566, Institute of Electrical and Electronics Engineers (IEEE), Pistacaway, NJ, pp. 1-5, 2009 IEEE Global Telecommunications Conference, GLOBECOM 2009, Honolulu, HI, United States, 30/11/09. https://doi.org/10.1109/GLOCOM.2009.5425566

MSE bounds for phase estimation in presence of recursive nuisance parameters. / Huang, Xiaojing; Guo, Y. Jay.
2009 IEEE Global Telecommunications Conference, GLOBECOM 2009. Pistacaway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2009. p. 1-5 5425566.

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

TY - GEN

T1 - MSE bounds for phase estimation in presence of recursive nuisance parameters

AU - Huang, Xiaojing

AU - Guo, Y. Jay

PY - 2009

Y1 - 2009

N2 - The mean squared error (MSE) is commonly used to measure and compare the performance of various phase estimation techniques in communications and signal processing systems. When the received signal contains recursive nuisance parameters, the MSE is extremely difficult to obtain and even the conventional modified Cramér-Rao bound (MCRB) can not be readily applied. In this paper, a recursive MSE bound and its simplified calculation method are proposed to solve the problem. As an application example, an adaptive hybrid antenna array and its associated angle-of-arrival (AoA) estimation technique are presented. The MSE of the AoA estimation is simulated and compared with the recursive MSE bound and MCRB. The results show that the proposed recursive MSE bound provides a tighter lower MSE bound than the recursive MCRB.

AB - The mean squared error (MSE) is commonly used to measure and compare the performance of various phase estimation techniques in communications and signal processing systems. When the received signal contains recursive nuisance parameters, the MSE is extremely difficult to obtain and even the conventional modified Cramér-Rao bound (MCRB) can not be readily applied. In this paper, a recursive MSE bound and its simplified calculation method are proposed to solve the problem. As an application example, an adaptive hybrid antenna array and its associated angle-of-arrival (AoA) estimation technique are presented. The MSE of the AoA estimation is simulated and compared with the recursive MSE bound and MCRB. The results show that the proposed recursive MSE bound provides a tighter lower MSE bound than the recursive MCRB.

KW - And Modified Cramér

KW - Cramér-Rao bound

KW - Mean squared error

KW - Phase estimation

KW - Rao bound

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SP - 1

EP - 5

BT - 2009 IEEE Global Telecommunications Conference, GLOBECOM 2009

PB - Institute of Electrical and Electronics Engineers (IEEE)

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Y2 - 30 November 2009 through 4 December 2009

ER -

MSE bounds for phase estimation in presence of recursive nuisance parameters

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