Distributed ECM Algorithm for OTHR Multipath Target Tracking With Unknown Ionospheric Heights

Over-the-horizon radar (OTHR) target tracking in the presence of complicated ionospheric environment mainly faces three challenges, i.e., discrete uncertainty of multipath data association, continuous uncertainty of ionospheric heights, and coupling of target state estimation and ionospheric paramet...

Full description

Saved in:
Bibliographic Details
Published inIEEE journal of selected topics in signal processing Vol. 12; no. 1; pp. 61 - 75
Main Authors Lan, Hua, Liang, Yan, Wang, Zengfu, Yang, Feng, Pan, Quan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Online AccessGet full text
ISSN1932-4553
1941-0484
DOI10.1109/JSTSP.2017.2787488

Cover

Abstract Over-the-horizon radar (OTHR) target tracking in the presence of complicated ionospheric environment mainly faces three challenges, i.e., discrete uncertainty of multipath data association, continuous uncertainty of ionospheric heights, and coupling of target state estimation and ionospheric parameters identification. The existing OTHR target tracking algorithms demanded that the ionospheric heights should be exactly known or statistical properties known. However, the ionospheric heights is inaccurate due to the inherent variability of ionosphere, especially when the deployment of ionosondes is unavailable in the sea area or hostile zone. This paper introduces a joint optimization scheme called distributed expectation-conditional maximization (DECM), which solves the target state estimation, multipath data association, and ionospheric heights identification simultaneously. The proposed DECM algorithm consists of a local estimation level and a global fusion level, whereas information is exchanged within these two levels until iteration terminates. This dual-level processing framework transforms the high-dimensional estimation problems into several low-dimensional parallel path-dependent estimation problems, which improves the computational efficiency of expectation maximization under high-dimensional latent variables case. In addition, the closed-loop structure is beneficial to the coupling problem. The simulation indicates the effectiveness of the proposed scheme.
AbstractList Over-the-horizon radar (OTHR) target tracking in the presence of complicated ionospheric environment mainly faces three challenges, i.e., discrete uncertainty of multipath data association, continuous uncertainty of ionospheric heights, and coupling of target state estimation and ionospheric parameters identification. The existing OTHR target tracking algorithms demanded that the ionospheric heights should be exactly known or statistical properties known. However, the ionospheric heights is inaccurate due to the inherent variability of ionosphere, especially when the deployment of ionosondes is unavailable in the sea area or hostile zone. This paper introduces a joint optimization scheme called distributed expectation-conditional maximization (DECM), which solves the target state estimation, multipath data association, and ionospheric heights identification simultaneously. The proposed DECM algorithm consists of a local estimation level and a global fusion level, whereas information is exchanged within these two levels until iteration terminates. This dual-level processing framework transforms the high-dimensional estimation problems into several low-dimensional parallel path-dependent estimation problems, which improves the computational efficiency of expectation maximization under high-dimensional latent variables case. In addition, the closed-loop structure is beneficial to the coupling problem. The simulation indicates the effectiveness of the proposed scheme.
Author Liang, Yan
Lan, Hua
Pan, Quan
Wang, Zengfu
Yang, Feng
Author_xml – sequence: 1
  givenname: Hua
  orcidid: 0000-0003-4670-2895
  surname: Lan
  fullname: Lan, Hua
  email: lanhua@nwpu.edu.cn
  organization: School of Automation, Northwestern Polytechnical University, Xi’an, 710065China
– sequence: 2
  givenname: Yan
  surname: Liang
  fullname: Liang, Yan
  email: liangyan@nwpu.edu.cn
  organization: School of Automation, Northwestern Polytechnical University, Xian, China
– sequence: 3
  givenname: Zengfu
  orcidid: 0000-0003-0424-3010
  surname: Wang
  fullname: Wang, Zengfu
  email: wangzengfu@nwpu.edu.cn
  organization: School of Automation, Northwestern Polytechnical University, Xian, China
– sequence: 4
  givenname: Feng
  surname: Yang
  fullname: Yang, Feng
  email: yangfeng@nwpu.edu.cn
  organization: School of Automation, Northwestern Polytechnical University, Xian, China
– sequence: 5
  givenname: Quan
  surname: Pan
  fullname: Pan, Quan
  email: quanpan@nwpu.edu.cn
  organization: School of Automation, Northwestern Polytechnical University, Xian, China
BookMark eNp9kEFPwjAUgBuDiYj-Ab008Txsu3VbjwRRMBCMjHgySyndVhjtbEuM_94hxIMHT-8dvu-95LsEHW20BOAGoz7GiN0_L7LFS58gnPRJkiZRmp6BLmYRDlCURp3DHpIgojS8AJfObRCiSYyjLnh_UM5btdp7uYaj4QwO6tJY5asdLIyF82z8Cmf72quG-wpm3JbSw8xysVW6hG8tCJd6q82nhhOjjWsqaZWAY6nKyrsrcF7w2snr0-yB5eMoG46D6fxpMhxMA0EY9UHMY0IxkUSKNUcRwzRkRSxoSFZozQQmlK_CVMQsZhgXLSAjGtMWK9BKCIHDHrg73m2s-dhL5_ON2VvdvswJQgnBiKCkpdIjJaxxzsoiF8pzr4z2lqs6xyg_xMx_YuaHmPkpZquSP2pj1Y7br_-l26OkpJS_QkpCljAcfgOUlIHc
CODEN IJSTGY
CitedBy_id crossref_primary_10_1016_j_sigpro_2020_107940
crossref_primary_10_1109_TAES_2024_3446739
crossref_primary_10_1109_TRS_2024_3354509
crossref_primary_10_1109_JAS_2022_105623
crossref_primary_10_1109_TAES_2021_3059093
crossref_primary_10_1016_j_sigpro_2022_108729
crossref_primary_10_1109_TAES_2020_3044109
crossref_primary_10_1109_TAES_2023_3274620
crossref_primary_10_1016_j_isatra_2023_05_016
crossref_primary_10_1109_TAES_2019_2942706
crossref_primary_10_3390_electronics10243086
crossref_primary_10_1109_TGRS_2020_3004224
crossref_primary_10_1002_acs_3201
crossref_primary_10_1007_s42401_023_00211_y
crossref_primary_10_1109_JSTARS_2021_3116798
crossref_primary_10_1016_j_sigpro_2021_108181
crossref_primary_10_1049_iet_rsn_2020_0032
crossref_primary_10_1109_TSP_2024_3415069
Cites_doi 10.1109/TSP.2003.814623
10.1049/iet-rsn.2013.0017
10.1109/TSP.2002.804099
10.1109/PROC.1974.9506
10.1109/JSTSP.2013.2258322
10.1109/RADAR.2012.6212159
10.1109/TAES.2013.120659
10.1093/biomet/80.2.267
10.1111/j.1467-9469.2007.00585.x
10.1016/j.inffus.2015.11.008
10.1080/10618600.1996.10474692
10.1111/j.2517-6161.1977.tb01600.x
10.1109/RADAR.1995.522518
10.1109/TAES.2003.1261132
10.1016/S0165-1684(01)00198-0
10.1109/78.564183
10.1109/IRS.2015.7226226
10.1109/7.722704
10.1109/JSTSP.2013.2256772
10.1109/CDC.1997.649846
10.1109/ACC.1997.609105
10.1049/iet-rsn.2015.0318
10.1109/TSP.2014.2318134
10.1109/TNN.2007.915110
10.1109/MSP.2008.929620
10.1109/TAES.2004.1292141
10.1029/98RS01523
10.1109/TSP.2015.2407322
10.1117/12.324637
10.1109/TSP.2007.907883
10.1016/0005-1098(96)00060-X
10.1109/TAC.2008.919531
10.1029/98RS00831
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2018
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2018
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
8FD
H8D
L7M
DOI 10.1109/JSTSP.2017.2787488
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Technology Research Database
Aerospace Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Aerospace Database
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList Aerospace Database

Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1941-0484
EndPage 75
ExternalDocumentID 10_1109_JSTSP_2017_2787488
8239791
Genre orig-research
GrantInformation_xml – fundername: National Natural Science Foundation of China; National Science Foundation of China
  grantid: 61501378; 61503305; 61374023; 61374159
  funderid: 10.13039/501100001809
GroupedDBID -~X
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACIWK
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AKJIK
AKQYR
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
F5P
HZ~
IFIPE
IPLJI
JAVBF
LAI
M43
O9-
OCL
RIA
RIE
RNS
AAYXX
CITATION
7SP
8FD
H8D
L7M
RIG
ID FETCH-LOGICAL-c295t-6a62512e2ecda0491539f6c532b0d9c125ab38c696911f049e4565915f0bccc13
IEDL.DBID RIE
ISSN 1932-4553
IngestDate Mon Jun 30 10:19:18 EDT 2025
Wed Oct 01 03:34:38 EDT 2025
Thu Apr 24 22:53:15 EDT 2025
Wed Aug 27 08:31:03 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c295t-6a62512e2ecda0491539f6c532b0d9c125ab38c696911f049e4565915f0bccc13
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-0424-3010
0000-0003-4670-2895
PQID 2007210207
PQPubID 75721
PageCount 15
ParticipantIDs ieee_primary_8239791
crossref_citationtrail_10_1109_JSTSP_2017_2787488
crossref_primary_10_1109_JSTSP_2017_2787488
proquest_journals_2007210207
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2018-02-01
PublicationDateYYYYMMDD 2018-02-01
PublicationDate_xml – month: 02
  year: 2018
  text: 2018-02-01
  day: 01
PublicationDecade 2010
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE journal of selected topics in signal processing
PublicationTitleAbbrev JSTSP
PublicationYear 2018
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref35
ref13
zhang (ref24) 2013
bishop (ref32) 2007
ref37
ref15
mclachlan (ref34) 2007
ref14
ref30
ref33
ref11
ghahramani (ref45) 1996
ref2
ref39
ref38
ref16
ref19
ref18
liu (ref12) 2006
li (ref31) 2003; 39
gustafsson (ref36) 2014; 63
rutten (ref10) 2001
dempster (ref17) 1977; 39
feng (ref26) 2013
ref46
ref23
ref25
ref41
ref22
ref44
ref21
ref43
scala (ref8) 1997
romeo (ref20) 2015
ref28
fabrizio (ref1) 2013
ref27
ref29
ref7
liu (ref6) 2013
ref9
ref4
ref3
sivanandam (ref42) 2007
ref5
ref40
References_xml – ident: ref39
  doi: 10.1109/TSP.2003.814623
– ident: ref29
  doi: 10.1049/iet-rsn.2013.0017
– ident: ref3
  doi: 10.1109/TSP.2002.804099
– ident: ref2
  doi: 10.1109/PROC.1974.9506
– year: 1996
  ident: ref45
  article-title: Parameter estimation for linear dynamical systems
– ident: ref14
  doi: 10.1109/JSTSP.2013.2258322
– ident: ref21
  doi: 10.1109/RADAR.2012.6212159
– ident: ref16
  doi: 10.1109/TAES.2013.120659
– ident: ref37
  doi: 10.1093/biomet/80.2.267
– ident: ref35
  doi: 10.1111/j.1467-9469.2007.00585.x
– year: 2007
  ident: ref34
  publication-title: The EM Algorithm and Extensions
– ident: ref22
  doi: 10.1016/j.inffus.2015.11.008
– ident: ref44
  doi: 10.1080/10618600.1996.10474692
– start-page: 1066
  year: 2013
  ident: ref24
  article-title: Joint estimation of target state and ionosphere state of over-the-horizon radar
  publication-title: Proc 16th Int Conf Inf Fusion
– volume: 39
  start-page: 1
  year: 1977
  ident: ref17
  article-title: Maximum likelihood from incomplete data via the EM algorithm
  publication-title: J R Stat Soc Series B (Methodological)
  doi: 10.1111/j.2517-6161.1977.tb01600.x
– ident: ref27
  doi: 10.1109/RADAR.1995.522518
– year: 2007
  ident: ref42
  publication-title: Introduction to Genetic Algorithms
– volume: 39
  start-page: 1333
  year: 2003
  ident: ref31
  article-title: Survey of maneuvering target tracking. Part I. dynamic models
  publication-title: IEEE Trans Aerosp Electron Syst
  doi: 10.1109/TAES.2003.1261132
– year: 2007
  ident: ref32
  publication-title: Pattern Recognition and Machine Learning
– ident: ref40
  doi: 10.1016/S0165-1684(01)00198-0
– start-page: 689
  year: 2015
  ident: ref20
  article-title: Data fusion with ML-PMHT for very low SNR track detection in an OTHR
  publication-title: Proc 18th Int Conf Inf Fusion
– ident: ref4
  doi: 10.1109/78.564183
– ident: ref30
  doi: 10.1109/IRS.2015.7226226
– ident: ref11
  doi: 10.1109/7.722704
– ident: ref13
  doi: 10.1109/JSTSP.2013.2256772
– ident: ref18
  doi: 10.1109/CDC.1997.649846
– ident: ref43
  doi: 10.1109/ACC.1997.609105
– start-page: 21
  year: 2001
  ident: ref10
  article-title: Comparison of track fusion with measurement fusion for multipath OTHR surveillance
  publication-title: Proc Int Conf Inf Fusion
– year: 2013
  ident: ref1
  publication-title: High Frequency Over-The-Horizon Radar Fundamental Principles Signal Processing and Practical Applications
– start-page: 4762
  year: 2013
  ident: ref26
  article-title: MAP joint identification and estimation for over-the-horizon radar
  publication-title: Proc 32nd Chin Control Conf
– year: 2013
  ident: ref6
  article-title: Estimation, decision and applications to target tracking
– ident: ref25
  doi: 10.1049/iet-rsn.2015.0318
– ident: ref19
  doi: 10.1109/TSP.2014.2318134
– ident: ref38
  doi: 10.1109/TNN.2007.915110
– ident: ref33
  doi: 10.1109/MSP.2008.929620
– ident: ref5
  doi: 10.1109/TAES.2004.1292141
– ident: ref23
  doi: 10.1029/98RS01523
– ident: ref15
  doi: 10.1109/TSP.2015.2407322
– start-page: 1
  year: 2006
  ident: ref12
  article-title: A multipath Viterbi data association algorithm for OTHR
  publication-title: Proc Int Conf Radar
– volume: 63
  start-page: 1448
  year: 2014
  ident: ref36
  article-title: Cooperative localization in WSNs using Gaussian mixture modeling: Distributed ECM algorithms
  publication-title: IEEE Trans Signal Process
– ident: ref9
  doi: 10.1117/12.324637
– ident: ref46
  doi: 10.1109/TSP.2007.907883
– ident: ref7
  doi: 10.1016/0005-1098(96)00060-X
– year: 1997
  ident: ref8
  article-title: Implementation of a Viterbi data association tracker for manoeuvring targets in over-the-horizon radar
– ident: ref41
  doi: 10.1109/TAC.2008.919531
– ident: ref28
  doi: 10.1029/98RS00831
SSID ssj0057614
Score 2.31708
Snippet Over-the-horizon radar (OTHR) target tracking in the presence of complicated ionospheric environment mainly faces three challenges, i.e., discrete uncertainty...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 61
SubjectTerms Algorithms
Computer simulation
Computing time
Coupling
distributed expectation-conditional maximization
Ionosondes
Ionosphere
Iterative methods
Joint identification and estimation
Maximization
Over-the-horizon radar
Parameter estimation
Parameter identification
Radar tracking
Signal processing algorithms
State estimation
Target recognition
Target tracking
uncertain coordinate registration
Uncertainty
Title Distributed ECM Algorithm for OTHR Multipath Target Tracking With Unknown Ionospheric Heights
URI https://ieeexplore.ieee.org/document/8239791
https://www.proquest.com/docview/2007210207
Volume 12
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 1941-0484
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0057614
  issn: 1932-4553
  databaseCode: RIE
  dateStart: 20070101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT4NAEN5oT3rwbayv7MGbghRYHsem1qBJ1WgbvRgCw6BGpUbpxV_vzALVqDHeOAxkszPMe74RYs8OyAjnPhqZUonheoBGEqRgQJZbDnJpzuEB58GZF43c0xt1MyMOprMwiKibz9DkR13Lz8Yw4VTZYWBzFYpinVk_8KpZrUbrktvcqSvItuEq5TQDMlZ4SCJ-dcFdXL5pk3y6esvKpxHSW1V-qGJtX44XxaA5WdVW8mhOytSE92-gjf89-pJYqB1N2a0kY1nMYLEi5r_AD66K2yNGzeWFV5jJfm8gu09349eH8v5Zkisrz4fRpdQDury2WA51z7gk4wacXpfXRChHBSflCnkyZsxxniUEGels69uaGB33h73IqNctGGCHqjS8xGNnB22ELKHAgXRhmHugHDu1shDIE0pSJwAv9EhB5kSA7A0SWW6lANBx1kWrGBe4IaSTuD744FrIk6qKQfMUBqQvUGFoOVlbdJr7j6HGIueVGE-xjkmsMNY8i5lncc2zttifvvNSIXH8Sb3KTJhS1vffFtsNm-P6Z33jTZw-R76Wv_n7W1tijr4dVM3a26JVvk5wh3yRMt3VQvgBtHbZXg
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3NT9RQEJ8QOKAHQdCwAvoO3LBLt32vH8fNAikfC0R3IxfTtNMpGrFLoHvhr2fmtV2MGuOth2n68mY63_MbgD0vYiNchuQUxmSODpCcLMrRwaJ0fZLSnC8DzuOLIJnq02tzvQQfF7MwRGSbz6gvj7aWX8xwLqmyg8iTKhTHOitGa22aaa1O77LjPGhryJ6jjfG7ERk3PmAh_3wlfVxh32MJ1XbPyrMZsntV_lDG1sIcr8G4O1vTWPKjP6_zPj7-Btv4v4dfh1etq6mGjWy8hiWqNuDlLwCEm_D1UHBzZeUVFepoNFbD25vZ_ff620_Fzqy6nCSflB3RlcXFamK7xhWbN5QEu_rChGpaSVquUiczQR2XaUJUic23PryB6fHRZJQ47cIFB73Y1E6QBeLukEdYZBw6sDaMywCN7-VuESP7QlnuRxjEAavIkglI_EEmK90cEQf-W1iuZhVtgfIzHWKI2iWZVTUCm2coYo1BhmLXL3ow6O4_xRaNXJZi3KY2KnHj1PIsFZ6lLc96sL94567B4vgn9aYwYUHZ3n8Pdjo2p-3v-iC7OEOJfd3w3d_f-gCryWR8np6fXJxtwwv-TtS0bu_Acn0_p132TOr8vRXIJ0Fq3Ks
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Distributed+ECM+Algorithm+for+OTHR+Multipath+Target+Tracking+With+Unknown+Ionospheric+Heights&rft.jtitle=IEEE+journal+of+selected+topics+in+signal+processing&rft.au=Lan%2C+Hua&rft.au=Liang%2C+Yan&rft.au=Wang%2C+Zengfu&rft.au=Yang%2C+Feng&rft.date=2018-02-01&rft.pub=The+Institute+of+Electrical+and+Electronics+Engineers%2C+Inc.+%28IEEE%29&rft.issn=1932-4553&rft.eissn=1941-0484&rft.volume=12&rft.issue=1&rft.spage=61&rft_id=info:doi/10.1109%2FJSTSP.2017.2787488&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1932-4553&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1932-4553&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1932-4553&client=summon