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Modified Cramer-Rao bound for M-FSK signal parameter estimation in Cauchy and Gaussian noise

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Zhang, Junlin, Zhao, Nan, Liu, Mingqian, Chen, Yunfei, Song, Hao, Gong, Fengkui and Yu, Richard (2019) Modified Cramer-Rao bound for M-FSK signal parameter estimation in Cauchy and Gaussian noise. IEEE Transactions on Vehicular Technology, 68 (10). pp. 10283-10288. doi:10.1109/TVT.2019.2932917 ISSN 0018-9545.

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Official URL: http://dx.doi.org/10.1109/TVT.2019.2932917

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Abstract

The Cramer-Rao bound (CRB) provides an efficient standard for evaluating the quality of standard parameter estimators. In this paper, a modified Cramer-Rao bounds (MCRB) for modulation parameter estimations of frequency-shift-keying (FSK) signals is proposed under the condition of the Gaussian and non-Gaussian additive interference. We extend the MCRB to the estimation of a vector of non-random parameters in the presence of nuisance parameters. Moreover, the MCRB is applied to the joint estimation of phase offset, frequency offsets, frequency deviation, and symbol period of FSK signal with two important special cases of alpha stable distributions, namely, the Cauchy and the Gaussian. The extensive simulation studies are conducted to contrast the MCRB for the modulation parameter vector in different noise environments.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Engineering > Engineering
Library of Congress Subject Headings (LCSH): Estimation theory, Computer networks, Signal detection, Random noise theory, Parameter estimation
Journal or Publication Title: IEEE Transactions on Vehicular Technology
Publisher: IEEE
ISSN: 0018-9545
Official Date: October 2019
Dates:
DateEvent
October 2019Published
2 August 2019Available
31 July 2019Accepted
Volume: 68
Number: 10
Page Range: pp. 10283-10288
DOI: 10.1109/TVT.2019.2932917
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 10 September 2019
Date of first compliant Open Access: 12 September 2019
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
61501348[NSFC] National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809
61801363[NSFC] National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809
61871065[NSFC] National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809
2019GY-043Shaanxi Provincial Key Research and Development Program UNSPECIFIED
6141A02022338[MEPRC] Ministry of Education of the People's Republic of Chinahttp://dx.doi.org/10.13039/501100002338
2017M611912China Postdoctoral Science Foundationhttp://dx.doi.org/10.13039/501100002858
B08038Higher Education Discipline Innovation ProjectUNSPECIFIED
201806965031China Scholarship Councilhttp://dx.doi.org/10.13039/501100004543

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