Design perfect reconstruction cosine-modulated filter banks via quadratically constrained quadratic programming and least squares optimization
•Formulate PR CMFB design as a QCQP with variables in special re-arrangement.•Dig out the algebraic relationship between PR conditions and NPR ones.•Propose an efficient two-stage method for PR CMFB design. In this paper, the design of perfect reconstruction (PR) cosine-modulated filter banks (CMFBs...
Gespeichert in:
| Veröffentlicht in: | Signal processing Jg. 141; S. 199 - 203 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier B.V
01.12.2017
|
| Schlagworte: | |
| ISSN: | 0165-1684, 1872-7557 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | •Formulate PR CMFB design as a QCQP with variables in special re-arrangement.•Dig out the algebraic relationship between PR conditions and NPR ones.•Propose an efficient two-stage method for PR CMFB design.
In this paper, the design of perfect reconstruction (PR) cosine-modulated filter banks (CMFBs) is implemented via quadratically constrained quadratic programming (QCQP) and least squares (LS) optimization. To this end, a PR CMFB design problem is formulated as a nonconvex QCQP after re-arranging the coefficients of the prototype filter. Then a deep insight is offered into the algebraic relationship between the PR conditions and near-perfect reconstruction (NPR) ones for CMFB designs. Here we theoretically show that the NPR conditions are just the summations of the PR conditions. Firmly in the light of this relationship, a two-stage method is proposed for PR CMFB design. We firstly solve an NPR CMFB problem to obtain its optimal solution as a reference point, then model the PR CMFB design problem as a series of small-sized LS problems near the reference point. And we solve the LS problems in parallel with cheap iteration. Our analysis and numerical results show that the proposed method bears superior performance on effectiveness and efficiency, especially in the case of designing PR CMFBs with large number of channels. |
|---|---|
| AbstractList | •Formulate PR CMFB design as a QCQP with variables in special re-arrangement.•Dig out the algebraic relationship between PR conditions and NPR ones.•Propose an efficient two-stage method for PR CMFB design.
In this paper, the design of perfect reconstruction (PR) cosine-modulated filter banks (CMFBs) is implemented via quadratically constrained quadratic programming (QCQP) and least squares (LS) optimization. To this end, a PR CMFB design problem is formulated as a nonconvex QCQP after re-arranging the coefficients of the prototype filter. Then a deep insight is offered into the algebraic relationship between the PR conditions and near-perfect reconstruction (NPR) ones for CMFB designs. Here we theoretically show that the NPR conditions are just the summations of the PR conditions. Firmly in the light of this relationship, a two-stage method is proposed for PR CMFB design. We firstly solve an NPR CMFB problem to obtain its optimal solution as a reference point, then model the PR CMFB design problem as a series of small-sized LS problems near the reference point. And we solve the LS problems in parallel with cheap iteration. Our analysis and numerical results show that the proposed method bears superior performance on effectiveness and efficiency, especially in the case of designing PR CMFBs with large number of channels. |
| Author | Yang, Zhiming Liu, Hongying Yi, Caixia |
| Author_xml | – sequence: 1 givenname: Hongying surname: Liu fullname: Liu, Hongying email: liuhongying@buaa.edu.cn – sequence: 2 givenname: Caixia surname: Yi fullname: Yi, Caixia email: yi_caixia@163.com – sequence: 3 givenname: Zhiming surname: Yang fullname: Yang, Zhiming email: yangzm06@mails.tsinghua.edu.cn |
| BookMark | eNqFkE1OwzAQRi1UJNrCDVj4Agm2kzgNCyRUfqVKbGBtOc64cknsYruVyiE4My5FQmIBs_Fi5o3nexM0ss4CQueU5JRQfrHKg1muvcsZoXVOeE5Ic4TGdFazrK6qeoTGaazKKJ-VJ2gSwooQQgtOxujjBhJr8Rq8BhWxB-VsiH6jonEWKxeMhWxw3aaXETqsTR_B41ba14C3RuK3jey8jEbJvt_hAywT0_10cDpt6eUwGLvE0na4BxkiDmnAQ8BuHc1g3uX-w1N0rGUf4Oz7naKXu9vn-UO2eLp_nF8vMlUQHjPeFJCKyYpA0_JSsbbiumKUUWDAVMX0LOVuGsbKmW7artZUacWgaFomm7KYovKwV3kXggct1t4M0u8EJWLvVKzEwanYOxWEi-Q0YZe_MGXi1-H70P1_8NUBhhRsa8CLoAxYBZ1J1qPonPl7wSfau51S |
| CitedBy_id | crossref_primary_10_3390_s18092928 crossref_primary_10_1109_TVT_2020_2999732 crossref_primary_10_1016_j_sigpro_2018_01_008 |
| Cites_doi | 10.1016/j.sigpro.2014.01.018 10.1109/TSP.2014.2299520 10.1016/j.sigpro.2015.08.001 10.1109/78.127951 10.1109/TCSI.2008.925350 10.1109/LSP.2014.2370033 10.1109/TSP.2008.2009268 10.1109/TSP.2008.929672 10.1109/78.258122 10.1109/TCSII.2007.916733 10.1109/TSP.2012.2217139 10.1109/TSP.2013.2295549 10.1109/TSP.2004.834242 10.1016/j.sigpro.2016.04.006 10.1016/j.sigpro.2015.04.004 |
| ContentType | Journal Article |
| Copyright | 2017 Elsevier B.V. |
| Copyright_xml | – notice: 2017 Elsevier B.V. |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.sigpro.2017.06.009 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1872-7557 |
| EndPage | 203 |
| ExternalDocumentID | 10_1016_j_sigpro_2017_06_009 S0165168417302207 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 123 1B1 1~. 1~5 4.4 457 4G. 53G 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO AAYFN ABBOA ABFNM ABFRF ABMAC ABXDB ABYKQ ACDAQ ACGFO ACGFS ACNNM ACRLP ACZNC ADBBV ADEZE ADJOM ADMUD ADTZH AEBSH AECPX AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F0J F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q G8K GBLVA GBOLZ HLZ HVGLF HZ~ IHE J1W JJJVA KOM LG9 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SBC SDF SDG SDP SES SEW SPC SPCBC SST SSV SSZ T5K TAE TN5 WUQ XPP ZMT ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABDPE ABJNI ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c306t-693eeee2a50e9b64c2b56f52121e2e2c52f8557992248f9bd7f1cfc2e39b2a943 |
| ISICitedReferencesCount | 3 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000406987500018&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0165-1684 |
| IngestDate | Tue Nov 18 22:16:53 EST 2025 Sat Nov 29 03:22:51 EST 2025 Fri Feb 23 02:33:57 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Near-perfect reconstruction Quadratically constrained quadratic programming Perfect reconstruction Least squares Cosine-modulated filter bank |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c306t-693eeee2a50e9b64c2b56f52121e2e2c52f8557992248f9bd7f1cfc2e39b2a943 |
| PageCount | 5 |
| ParticipantIDs | crossref_primary_10_1016_j_sigpro_2017_06_009 crossref_citationtrail_10_1016_j_sigpro_2017_06_009 elsevier_sciencedirect_doi_10_1016_j_sigpro_2017_06_009 |
| PublicationCentury | 2000 |
| PublicationDate | December 2017 2017-12-00 |
| PublicationDateYYYYMMDD | 2017-12-01 |
| PublicationDate_xml | – month: 12 year: 2017 text: December 2017 |
| PublicationDecade | 2010 |
| PublicationTitle | Signal processing |
| PublicationYear | 2017 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Li, Liao, Huang, Guo, Liao, Zhu (bib0007) 2016; 128 Zhang, Shui, Su (bib0010) 2008; 56 2017. Matlab codes corresponding to algorithm 1 @ONLINE (May 2017). Eghbali, Johansson (bib0017) 2014; 62 Mehanna, Huang, Gopalakrishnan, Konar, Sidiropoulos (bib0002) 2015; 22 . Cruz-Roldán, Martín, Sáez-Landete, Blanco-Velasco, Saramäki (bib0011) 2009; 56 Doblinger (bib0013) 2012; 60 Gong, Tan, Meng, Guo (bib0003) 2014; 100 Koilpillai, Vaidyanathan (bib0015) 1992; 40 Qu, Xie (bib0005) 2016; 119 Einemo, So (bib0009) 2015; 115 Yin, Chan, Tsui (bib0012) 2008; 55 Nguyen (bib0001) 1994; 42 Tuy (bib0004) 2016 Chen, Harris, Venosa, Rao (bib0014) 2014; 62 Kha, Tuan, Nguyen (bib0008) 2009; 57 Abu-Al-Saud, Stüber (bib0006) 2004; 52 Doblinger (10.1016/j.sigpro.2017.06.009_bib0013) 2012; 60 Nguyen (10.1016/j.sigpro.2017.06.009_bib0001) 1994; 42 Koilpillai (10.1016/j.sigpro.2017.06.009_bib0015) 1992; 40 Cruz-Roldán (10.1016/j.sigpro.2017.06.009_bib0011) 2009; 56 Abu-Al-Saud (10.1016/j.sigpro.2017.06.009_bib0006) 2004; 52 Zhang (10.1016/j.sigpro.2017.06.009_bib0010) 2008; 56 Kha (10.1016/j.sigpro.2017.06.009_bib0008) 2009; 57 Eghbali (10.1016/j.sigpro.2017.06.009_bib0017) 2014; 62 Mehanna (10.1016/j.sigpro.2017.06.009_bib0002) 2015; 22 Einemo (10.1016/j.sigpro.2017.06.009_bib0009) 2015; 115 Li (10.1016/j.sigpro.2017.06.009_bib0007) 2016; 128 Tuy (10.1016/j.sigpro.2017.06.009_bib0004) 2016 Yin (10.1016/j.sigpro.2017.06.009_bib0012) 2008; 55 Chen (10.1016/j.sigpro.2017.06.009_bib0014) 2014; 62 Gong (10.1016/j.sigpro.2017.06.009_bib0003) 2014; 100 10.1016/j.sigpro.2017.06.009_bib0016 Qu (10.1016/j.sigpro.2017.06.009_bib0005) 2016; 119 |
| References_xml | – volume: 56 start-page: 168 year: 2009 end-page: 178 ident: bib0011 article-title: A fast windowing-based technique exploiting spline functions for designing modulated filter banks publication-title: IEEE Trans. Circuits Syst. I Reg. Papers – volume: 62 start-page: 852 year: 2014 end-page: 867 ident: bib0014 article-title: Non-maximally decimated analysis/synthesis filter banks: applications in wideband digital filtering publication-title: IEEE Trans. Sig. Process. – volume: 115 start-page: 144 year: 2015 end-page: 150 ident: bib0009 article-title: Weighted least squares algorithm for target localization in distributed mimo radar publication-title: Sig. Process – volume: 55 start-page: 571 year: 2008 end-page: 575 ident: bib0012 article-title: On the design of nearly-pr and pr fir cosine-modulated filter banks havning approximate cosine-rolloff transition band publication-title: IEEE Trans. Circuits Syst. II Exp. Briefs – volume: 40 start-page: 770 year: 1992 end-page: 783 ident: bib0015 article-title: Cosine-modulated fir filter banks satisfying perfect reconstruction publication-title: IEEE Trans. Sig. Process – volume: 62 start-page: 1198 year: 2014 end-page: 1209 ident: bib0017 article-title: On efficient design of high-order filters with applications to filter banks and transmultiplexers with large number of channels publication-title: IEEE Trans. Sig. Process. – volume: 52 start-page: 2807 year: 2004 end-page: 2820 ident: bib0006 article-title: Efficient wideband channelizer for software radio systems using modulated pr filterbanks publication-title: IEEE Trans. Sig. Process – volume: 42 start-page: 65 year: 1994 end-page: 76 ident: bib0001 article-title: Near-perfect-reconstruction pseudo-qmf banks publication-title: IEEE Trans. Sig. Process – volume: 56 start-page: 5414 year: 2008 end-page: 5426 ident: bib0010 article-title: Efficient design of high-complexity cosine modulated filter banks using 2 publication-title: IEEE Trans. Sig. Process – volume: 119 start-page: 142 year: 2016 end-page: 152 ident: bib0005 article-title: An efficient convex constrained weighted least squares source localization algorithm based on tdoa measurements publication-title: Sig. Process – reference: . – year: 2016 ident: bib0004 article-title: Convex analysis and global optimization publication-title: Springer International Publishing – volume: 60 start-page: 6693 year: 2012 end-page: 6696 ident: bib0013 article-title: A fast design method for perfect reconstruction uniform cosine-modulated filter banks publication-title: IEEE Trans. Sig. Process. – volume: 57 start-page: 966 year: 2009 end-page: 976 ident: bib0008 article-title: Efficient design of cosine-modulated filter banks via convex optimization publication-title: IEEE Trans. Sig. Process. – volume: 22 start-page: 804 year: 2015 end-page: 808 ident: bib0002 article-title: Feasible point pursuit and successive approximation of non-convex qcqps publication-title: IEEE Sig. Process. Lett. – reference: 2017. Matlab codes corresponding to algorithm 1 @ONLINE (May 2017). – volume: 100 start-page: 186 year: 2014 end-page: 196 ident: bib0003 article-title: Optimization of radar phase-coded signals for multiple target detection publication-title: Sig. Process – volume: 128 start-page: 198 year: 2016 end-page: 203 ident: bib0007 article-title: A robust stap method for airborne radar with array steering vector mismatch publication-title: Sig. Process – volume: 100 start-page: 186 year: 2014 ident: 10.1016/j.sigpro.2017.06.009_bib0003 article-title: Optimization of radar phase-coded signals for multiple target detection publication-title: Sig. Process doi: 10.1016/j.sigpro.2014.01.018 – volume: 62 start-page: 1198 year: 2014 ident: 10.1016/j.sigpro.2017.06.009_bib0017 article-title: On efficient design of high-order filters with applications to filter banks and transmultiplexers with large number of channels publication-title: IEEE Trans. Sig. Process. doi: 10.1109/TSP.2014.2299520 – volume: 119 start-page: 142 year: 2016 ident: 10.1016/j.sigpro.2017.06.009_bib0005 article-title: An efficient convex constrained weighted least squares source localization algorithm based on tdoa measurements publication-title: Sig. Process doi: 10.1016/j.sigpro.2015.08.001 – year: 2016 ident: 10.1016/j.sigpro.2017.06.009_bib0004 article-title: Convex analysis and global optimization – volume: 40 start-page: 770 year: 1992 ident: 10.1016/j.sigpro.2017.06.009_bib0015 article-title: Cosine-modulated fir filter banks satisfying perfect reconstruction publication-title: IEEE Trans. Sig. Process doi: 10.1109/78.127951 – volume: 56 start-page: 168 year: 2009 ident: 10.1016/j.sigpro.2017.06.009_bib0011 article-title: A fast windowing-based technique exploiting spline functions for designing modulated filter banks publication-title: IEEE Trans. Circuits Syst. I Reg. Papers doi: 10.1109/TCSI.2008.925350 – volume: 22 start-page: 804 year: 2015 ident: 10.1016/j.sigpro.2017.06.009_bib0002 article-title: Feasible point pursuit and successive approximation of non-convex qcqps publication-title: IEEE Sig. Process. Lett. doi: 10.1109/LSP.2014.2370033 – volume: 57 start-page: 966 year: 2009 ident: 10.1016/j.sigpro.2017.06.009_bib0008 article-title: Efficient design of cosine-modulated filter banks via convex optimization publication-title: IEEE Trans. Sig. Process. doi: 10.1109/TSP.2008.2009268 – volume: 56 start-page: 5414 year: 2008 ident: 10.1016/j.sigpro.2017.06.009_bib0010 article-title: Efficient design of high-complexity cosine modulated filter banks using 2mth band conditions publication-title: IEEE Trans. Sig. Process doi: 10.1109/TSP.2008.929672 – volume: 42 start-page: 65 year: 1994 ident: 10.1016/j.sigpro.2017.06.009_bib0001 article-title: Near-perfect-reconstruction pseudo-qmf banks publication-title: IEEE Trans. Sig. Process doi: 10.1109/78.258122 – volume: 55 start-page: 571 year: 2008 ident: 10.1016/j.sigpro.2017.06.009_bib0012 article-title: On the design of nearly-pr and pr fir cosine-modulated filter banks havning approximate cosine-rolloff transition band publication-title: IEEE Trans. Circuits Syst. II Exp. Briefs doi: 10.1109/TCSII.2007.916733 – volume: 60 start-page: 6693 year: 2012 ident: 10.1016/j.sigpro.2017.06.009_bib0013 article-title: A fast design method for perfect reconstruction uniform cosine-modulated filter banks publication-title: IEEE Trans. Sig. Process. doi: 10.1109/TSP.2012.2217139 – volume: 62 start-page: 852 year: 2014 ident: 10.1016/j.sigpro.2017.06.009_bib0014 article-title: Non-maximally decimated analysis/synthesis filter banks: applications in wideband digital filtering publication-title: IEEE Trans. Sig. Process. doi: 10.1109/TSP.2013.2295549 – volume: 52 start-page: 2807 year: 2004 ident: 10.1016/j.sigpro.2017.06.009_bib0006 article-title: Efficient wideband channelizer for software radio systems using modulated pr filterbanks publication-title: IEEE Trans. Sig. Process doi: 10.1109/TSP.2004.834242 – volume: 128 start-page: 198 year: 2016 ident: 10.1016/j.sigpro.2017.06.009_bib0007 article-title: A robust stap method for airborne radar with array steering vector mismatch publication-title: Sig. Process doi: 10.1016/j.sigpro.2016.04.006 – ident: 10.1016/j.sigpro.2017.06.009_bib0016 – volume: 115 start-page: 144 year: 2015 ident: 10.1016/j.sigpro.2017.06.009_bib0009 article-title: Weighted least squares algorithm for target localization in distributed mimo radar publication-title: Sig. Process doi: 10.1016/j.sigpro.2015.04.004 |
| SSID | ssj0001360 |
| Score | 2.2248714 |
| Snippet | •Formulate PR CMFB design as a QCQP with variables in special re-arrangement.•Dig out the algebraic relationship between PR conditions and NPR ones.•Propose an... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 199 |
| SubjectTerms | Cosine-modulated filter bank Least squares Near-perfect reconstruction Perfect reconstruction Quadratically constrained quadratic programming |
| Title | Design perfect reconstruction cosine-modulated filter banks via quadratically constrained quadratic programming and least squares optimization |
| URI | https://dx.doi.org/10.1016/j.sigpro.2017.06.009 |
| Volume | 141 |
| WOSCitedRecordID | wos000406987500018&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-7557 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001360 issn: 0165-1684 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1db9MwFLWqjgd4QHyKMUB-4C3K1DhOHT9OMAQ8TEgbUsdLFDv2yGjTaR1V9yf2F_ir3Gs7aUoRXxJ9iKqkbp2e03uv3XvPJeSlMMkITICNk1xlMeepiBXEDbGyjOlxWqXW-mYT4ugon0zkh8HgW1sLs5yKpslXK3nxX6GGcwA2ls7-Bdzdm8IJeA6gwxFgh-MfAf_a5WSgHrHTJXYr3k4lNtJzTHSPZ_MK-3ZBtGlr_L88UmXzZREt6xLLLCukBYA3vY784BLGVOsrbVbXrK1wnGIHoGgBL7hEEVswQ7NQ39kPfo9hXlj45WsTWp-J2UD1V-cC583Zde_0ae1TUupV3TmP07C__ekztiM7629agCPcTADZrqbxm5tAkmTsW8btG2-QcwErgMyLWHcW22tlBZub-A5LwX0zJ5mw7Rn8JsX5PkAAt4k5fcIJt47k2hN2-YnHOBWcSQIGkDFUK9hhIpP5kOwcvDucvO-cfZK6QvRu6m11pksh3P6sn0c_vYjm5B65G5Yi9MBT6D4ZmOYBudMTqHxIbjyZaCAT3SQT_ZFM1JOJOjJRIBPdIBPtkWl9hfbIRIFM1JGJBjLRPpkekY9vDk9evY1DB49Yw1L0Kh7L1MCDldnISDXmmoEhsFgunhhmmM6YzQFb1EbmuZWqEjbRVjOTSsVKydPHZNjMG_OE0NTovMyV0iJTnJcpBLaV4aVNrFWac7FL0vabLXSQt8c7mhZtHuN54fEoEI_CpXPKXRJ3oy68vMtvXi9a0IoQovrQswCe_XLk038euUdur39Cz8gQQDbPyS29vKoXly8CIb8DbTnC1w |
| linkProvider | Elsevier |
| 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=Design+perfect+reconstruction+cosine-modulated+filter+banks+via+quadratically+constrained+quadratic+programming+and+least+squares+optimization&rft.jtitle=Signal+processing&rft.au=Liu%2C+Hongying&rft.au=Yi%2C+Caixia&rft.au=Yang%2C+Zhiming&rft.date=2017-12-01&rft.pub=Elsevier+B.V&rft.issn=0165-1684&rft.eissn=1872-7557&rft.volume=141&rft.spage=199&rft.epage=203&rft_id=info:doi/10.1016%2Fj.sigpro.2017.06.009&rft.externalDocID=S0165168417302207 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0165-1684&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0165-1684&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0165-1684&client=summon |