Variational Bayesian Inference for DOA Estimation Under Impulsive Noise and Non-Uniform Noise
Existing direction of arrival (DOA) estimation approaches are often only considering Gaussian noise or impulsive noise, leading to the performance degradation in the scenario that both noises exist simultaneously. Considering that ambient noise of underwater acoustic array may have different varianc...
        Saved in:
      
    
          | Published in | IEEE transactions on aerospace and electronic systems pp. 1 - 13 | 
|---|---|
| Main Authors | , , , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
            IEEE
    
        08.04.2023
     | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 0018-9251 1557-9603  | 
| DOI | 10.1109/TAES.2023.3265949 | 
Cover
| Abstract | Existing direction of arrival (DOA) estimation approaches are often only considering Gaussian noise or impulsive noise, leading to the performance degradation in the scenario that both noises exist simultaneously. Considering that ambient noise of underwater acoustic array may have different variances due to the large aperture, this paper proposes a robust sparse recovery method based on variational Bayesian inference (VBI) that considers the "heavy-tailed" characteristics of impulsive noise, and the non-uniformity of ambient noise. Student-t distribution and Bernoulli distribution are modeled as impulsive noise in the measurement, and then, the array observed signal is created as a mixture of desired signal, impulsive noise and non-uniform noise. A VBI scheme is constructed to estimate the desired sparse signal to implement DOAs. Results obtained from the numerical simulation and experimental data processing verify the superior performance of the proposed VBI promoting DOA estimation for dealing with impulsive noise and non-uniform noise. | 
    
|---|---|
| AbstractList | Existing direction of arrival (DOA) estimation approaches are often only considering Gaussian noise or impulsive noise, leading to the performance degradation in the scenario that both noises exist simultaneously. Considering that ambient noise of underwater acoustic array may have different variances due to the large aperture, this paper proposes a robust sparse recovery method based on variational Bayesian inference (VBI) that considers the "heavy-tailed" characteristics of impulsive noise, and the non-uniformity of ambient noise. Student-t distribution and Bernoulli distribution are modeled as impulsive noise in the measurement, and then, the array observed signal is created as a mixture of desired signal, impulsive noise and non-uniform noise. A VBI scheme is constructed to estimate the desired sparse signal to implement DOAs. Results obtained from the numerical simulation and experimental data processing verify the superior performance of the proposed VBI promoting DOA estimation for dealing with impulsive noise and non-uniform noise. | 
    
| Author | Zhou, Tian Li, Yingsong Zhang, Liang Guo, Kun Yin, Jingwei  | 
    
| Author_xml | – sequence: 1 givenname: Kun orcidid: 0000-0003-3386-2400 surname: Guo fullname: Guo, Kun organization: Key Laboratory for Polar Acoustics and Application of Ministry of Education, National Key Laboratory of Underwater Acoustic Technology, College of Underwater Acoustic Engineering, Key Laboratory of Marine Information Acquisition and Security, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China – sequence: 2 givenname: Liang orcidid: 0000-0002-8323-5723 surname: Zhang fullname: Zhang, Liang organization: Key Laboratory for Polar Acoustics and Application of Ministry of Education, National Key Laboratory of Underwater Acoustic Technology, College of Underwater Acoustic Engineering, Key Laboratory of Marine Information Acquisition and Security, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China – sequence: 3 givenname: Yingsong orcidid: 0000-0002-2450-6028 surname: Li fullname: Li, Yingsong organization: School of Electronic and Information Engineering of Anhui University, Anhui, China – sequence: 4 givenname: Tian orcidid: 0000-0001-8403-9743 surname: Zhou fullname: Zhou, Tian organization: Key Laboratory for Polar Acoustics and Application of Ministry of Education, National Key Laboratory of Underwater Acoustic Technology, College of Underwater Acoustic Engineering, Key Laboratory of Marine Information Acquisition and Security, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China – sequence: 5 givenname: Jingwei orcidid: 0000-0002-8401-0980 surname: Yin fullname: Yin, Jingwei organization: Key Laboratory for Polar Acoustics and Application of Ministry of Education, National Key Laboratory of Underwater Acoustic Technology, College of Underwater Acoustic Engineering, Key Laboratory of Marine Information Acquisition and Security, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China  | 
    
| BookMark | eNp9kEtLAzEQgINUsK3-AMFD_sDWTLKP5FjrqoViD7beZEmzE4hssyVZhf57t4-DePCUyTDfPL4RGfjWIyG3wCYATN2vpuXbhDMuJoLnmUrVBRlClhWJypkYkCFjIBPFM7gioxg_-28qUzEkH-86ON251uuGPug9Rqc9nXuLAb1BattAH5dTWsbObY91dO1rDHS-3X010X0jfW1dRKp93Uc-WXvXM9tT9ppcWt1EvDm_Y7J-Klezl2SxfJ7PpovEAIBK8nRjucTapgKyWhdowHDMJVpeMKU5SgbW5CigllYVqZZoVJqLOttwIcGKMYFTXxPaGAPaahf6dcO-AlYd_FQHP9XBT3X20zPFH8a47nhhF7Rr_iXvTqRDxF-TmJI5U-IHHiV1uA | 
    
| CODEN | IEARAX | 
    
| CitedBy_id | crossref_primary_10_1121_10_0032395 crossref_primary_10_1109_OJSP_2024_3360896  | 
    
| Cites_doi | 10.1016/j.dsp.2021.103059 10.2307/2283932 10.1007/s00034-022-01972-1 10.1109/TSP.2009.2036049 10.1016/S0165-1684(02)00314-6 10.1016/j.sigpro.2017.05.017 10.1109/LSP.2020.3032287 10.1109/TSP.2017.2773420 10.1121/1.5129056 10.1109/TSP.2012.2222378 10.1109/LSP.2016.2598550 10.1109/TAES.2014.130460 10.1016/j.sigpro.2019.03.024 10.1016/j.sigpro.2021.108313 10.1016/j.dsp.2020.102923 10.1109/TSP.2006.872524 10.1109/TCOMM.2014.2351819 10.1109/TSP.2013.2273198 10.1007/s00034-015-0203-5 10.1109/LSP.2016.2636319 10.1016/j.sigpro.2020.107500 10.1109/TAES.2018.2850459 10.1080/03610918608812563 10.1109/LSP.2009.2019740 10.1109/MSP.2008.929620 10.1109/TSP.2004.831016 10.1109/TAES.2022.3164012 10.1016/j.dsp.2021.103383 10.1109/78.934131 10.1109/TAES.2019.2909728 10.1016/j.neucom.2005.02.016 10.1109/TSP.2007.914345 10.1109/TSP.2008.929331 10.1109/LSP.2018.2889913 10.1109/ICSMC.1997.638293 10.2307/2690437  | 
    
| ContentType | Journal Article | 
    
| DBID | 97E RIA RIE AAYXX CITATION  | 
    
| DOI | 10.1109/TAES.2023.3265949 | 
    
| DatabaseName | IEEE All-Society Periodicals Package (ASPP) 2005–Present IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef  | 
    
| DatabaseTitle | CrossRef | 
    
| DatabaseTitleList | |
| 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 | 1557-9603 | 
    
| EndPage | 13 | 
    
| ExternalDocumentID | 10_1109_TAES_2023_3265949 10098609  | 
    
| Genre | orig-research | 
    
| GrantInformation_xml | – fundername: Open Fund of State Key Laboratory of Acoustics grantid: SKLA202104 – fundername: National Natural Science Foundation of China grantid: 52071111  | 
    
| GroupedDBID | -~X 0R~ 29I 4.4 5GY 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACGFO ACIWK ACNCT AENEX AGQYO AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 EBS F5P IFIPE IPLJI JAVBF LAI M43 OCL P2P RIA RIE RNS TN5 41~ 5VS AAYXX AETIX AGSQL AI. AIBXA ALLEH CITATION EJD H~9 IAAWW IBMZZ ICLAB IFJZH VH1  | 
    
| ID | FETCH-LOGICAL-c1119-64bf28edf4315da7ec1c2e68ef2709a2e801fc6e31d8f974a8ec9463d5b2381f3 | 
    
| IEDL.DBID | RIE | 
    
| ISSN | 0018-9251 | 
    
| IngestDate | Thu Apr 24 22:55:48 EDT 2025 Wed Oct 01 01:23:43 EDT 2025 Mon Aug 11 03:35:35 EDT 2025  | 
    
| IsPeerReviewed | true | 
    
| IsScholarly | true | 
    
| Language | English | 
    
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037  | 
    
| LinkModel | DirectLink | 
    
| MergedId | FETCHMERGED-LOGICAL-c1119-64bf28edf4315da7ec1c2e68ef2709a2e801fc6e31d8f974a8ec9463d5b2381f3 | 
    
| ORCID | 0000-0003-3386-2400 0000-0001-8403-9743 0000-0002-8401-0980 0000-0002-8323-5723 0000-0002-2450-6028  | 
    
| PageCount | 13 | 
    
| ParticipantIDs | ieee_primary_10098609 crossref_primary_10_1109_TAES_2023_3265949 crossref_citationtrail_10_1109_TAES_2023_3265949  | 
    
| ProviderPackageCode | CITATION AAYXX  | 
    
| PublicationCentury | 2000 | 
    
| PublicationDate | 20230408 | 
    
| PublicationDateYYYYMMDD | 2023-04-08 | 
    
| PublicationDate_xml | – month: 4 year: 2023 text: 20230408 day: 8  | 
    
| PublicationDecade | 2020 | 
    
| PublicationTitle | IEEE transactions on aerospace and electronic systems | 
    
| PublicationTitleAbbrev | T-AES | 
    
| PublicationYear | 2023 | 
    
| Publisher | IEEE | 
    
| Publisher_xml | – name: IEEE | 
    
| References | ref35 ref12 ref34 ref15 ref14 ref36 ref31 ref30 ref33 ref10 ref32 liu (ref11) 2001; 49 ref2 ref1 ref17 ref16 ref19 ref18 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref28 ref27 ref29 shi (ref13) 2016; 35 ref8 ref7 ref9 ref4 ref3 ref6 ref5  | 
    
| References_xml | – ident: ref19 doi: 10.1016/j.dsp.2021.103059 – ident: ref36 doi: 10.2307/2283932 – ident: ref3 doi: 10.1007/s00034-022-01972-1 – ident: ref7 doi: 10.1109/TSP.2009.2036049 – ident: ref15 doi: 10.1016/S0165-1684(02)00314-6 – ident: ref22 doi: 10.1016/j.sigpro.2017.05.017 – ident: ref1 doi: 10.1109/LSP.2020.3032287 – ident: ref20 doi: 10.1109/TSP.2017.2773420 – ident: ref9 doi: 10.1121/1.5129056 – ident: ref28 doi: 10.1109/TSP.2012.2222378 – ident: ref24 doi: 10.1109/LSP.2016.2598550 – ident: ref4 doi: 10.1109/TAES.2014.130460 – ident: ref30 doi: 10.1016/j.sigpro.2019.03.024 – ident: ref5 doi: 10.1016/j.sigpro.2021.108313 – ident: ref10 doi: 10.1016/j.dsp.2020.102923 – ident: ref14 doi: 10.1109/TSP.2006.872524 – ident: ref33 doi: 10.1109/TCOMM.2014.2351819 – ident: ref2 doi: 10.1109/TSP.2013.2273198 – volume: 35 start-page: 3266 year: 2016 ident: ref13 article-title: Parameter estimation based on fractional power spectrum density in bistatic MIMO radar system under impulsive noise environment publication-title: Circuits Syst Signal Process CSSP doi: 10.1007/s00034-015-0203-5 – ident: ref29 doi: 10.1109/LSP.2016.2636319 – ident: ref23 doi: 10.1016/j.sigpro.2020.107500 – ident: ref18 doi: 10.1109/TAES.2018.2850459 – ident: ref35 doi: 10.1080/03610918608812563 – ident: ref16 doi: 10.1109/LSP.2009.2019740 – ident: ref32 doi: 10.1109/MSP.2008.929620 – ident: ref17 doi: 10.1109/TSP.2004.831016 – ident: ref25 doi: 10.1109/TAES.2022.3164012 – ident: ref6 doi: 10.1016/j.dsp.2021.103383 – volume: 49 start-page: 1605 year: 2001 ident: ref11 article-title: A subspace-based direction finding algorithm using fractional lower order statistics publication-title: IEEE Trans Signal Process doi: 10.1109/78.934131 – ident: ref12 doi: 10.1109/TAES.2019.2909728 – ident: ref26 doi: 10.1016/j.neucom.2005.02.016 – ident: ref21 doi: 10.1109/TSP.2007.914345 – ident: ref34 doi: 10.1109/TSP.2008.929331 – ident: ref8 doi: 10.1109/LSP.2018.2889913 – ident: ref27 doi: 10.1109/ICSMC.1997.638293 – ident: ref31 doi: 10.2307/2690437  | 
    
| SSID | ssj0014843 | 
    
| Score | 2.3938656 | 
    
| Snippet | Existing direction of arrival (DOA) estimation approaches are often only considering Gaussian noise or impulsive noise, leading to the performance degradation... | 
    
| SourceID | crossref ieee  | 
    
| SourceType | Enrichment Source Index Database Publisher  | 
    
| StartPage | 1 | 
    
| SubjectTerms | Acoustics Bayes methods Direction-of-arrival estimation DOA estimation Estimation Gaussian noise impulsive noise robust sparse recovery Sparse matrices Underwater acoustics variational bayesian inference  | 
    
| Title | Variational Bayesian Inference for DOA Estimation Under Impulsive Noise and Non-Uniform Noise | 
    
| URI | https://ieeexplore.ieee.org/document/10098609 | 
    
| hasFullText | 1 | 
    
| inHoldings | 1 | 
    
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1557-9603 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0014843 issn: 0018-9251 databaseCode: RIE dateStart: 19650101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE  | 
    
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3NS8MwFA-6kx78nDi_yMGT0Jp2aZscp2xsgru4yS5SkvQVRO2Grgf9631ps1EERXoJIYGQl_T9Xt77vUfIpTZMicAYRG5Me1wFoScjFXhZkCWag8gjYYnC9-N4OOV3s2jmyOoVFwYAquAz8G2z8uVnc1PapzK84UyK2NL1NhMR12SttcuACxciF-ANRq3tXJgBk9eTXv_Bt3XCfQQrkbR5MxtKqFFVpVIqg10yXi2njiV58cul9s3Xj0yN_17vHtlx8JL26vOwTzagOCDbjaSDh-TpEc1j9wRIb9QnWBolHa2IfxRRLEWLkfbx8te8RloVR6Kjt0X5aqPd6Xj-_AFUFRm2Cg9hq0W-dW-bTAf9ye3Qc0UWPIO_OenFXOehgCxHJBFlKgETmBBiAXmYMKlCQBWWmxi6QSZyND6UACN53M0ibbV93j0irWJewDGhShr8OORSCI5ztOKR4VohytOsq8MOYatdT43LQG4LYbymlSXCZGoFlVpBpU5QHXK1nrKo02_8NbhtZdAYWG__yS_9p2TLTq_icMQZaS3fSzhHiLHUF9XR-gY2mc0G | 
    
| linkProvider | IEEE | 
    
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3NS8MwFA-iB_Xg58T5mYMnobXtki45TtnYdOvFTXaRkqSvIM5u6HbQv96XthtFUKSXEJIS8pK830ve7z1CrrTxlPCNQeTmaYcpP3AkV76T-ElTMxApF5YoPIjC7ojdj_m4JKvnXBgAyJ3PwLXF_C0_mZqFvSrDHe5JEVq63gZnjPGCrrV6NGCidJLzcQ-j3i4fMX1P3gxb7UfXZgp3Ea5waSNnVtRQJa9KrlY6uyRaDqjwJnl1F3Ptmq8fsRr_PeI9slMCTNoqVsQ-WYPsgGxXwg4ekucnNJDLS0B6qz7BEilpb0n9o4hjKdqMtI3bv2A20jw9Eu29zRYT6-9Oo-nLB1CVJVjKHASuFvsWtTUy6rSHd12nTLPgGDzopBMynQYCkhSxBE9UE4xvAggFpEHTkyoAVGKpCaHhJyJF80MJMJKFjYRrq-_TxhFZz6YZHBOqpMGPQSqFYNhHK8YN0wpxnvYaOqgTbznrsSljkNtUGJM4t0U8GVtBxVZQcSmoOrledZkVATj-alyzMqg0LKb_5Jf6S7LZHQ76cb8XPZySLfur3CtHnJH1-fsCzhFwzPVFvsy-AR8w0FM | 
    
| 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=Variational+Bayesian+Inference+for+DOA+Estimation+Under+Impulsive+Noise+and+Non-Uniform+Noise&rft.jtitle=IEEE+transactions+on+aerospace+and+electronic+systems&rft.au=Guo%2C+Kun&rft.au=Zhang%2C+Liang&rft.au=Li%2C+Yingsong&rft.au=Zhou%2C+Tian&rft.date=2023-04-08&rft.pub=IEEE&rft.issn=0018-9251&rft.spage=1&rft.epage=13&rft_id=info:doi/10.1109%2FTAES.2023.3265949&rft.externalDocID=10098609 | 
    
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9251&client=summon | 
    
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9251&client=summon | 
    
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9251&client=summon |