Exponential Strong Converse for Source Coding with Side Information at the Decoder
We consider the rate distortion problem with side information at the decoder posed and investigated by Wyner and Ziv. Using side information and encoded original data, the decoder must reconstruct the original data with an arbitrary prescribed distortion level. The rate distortion region indicating...
Gespeichert in:
| Veröffentlicht in: | Entropy (Basel, Switzerland) Jg. 20; H. 5; S. 352 |
|---|---|
| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel
MDPI AG
08.05.2018
MDPI |
| Schlagworte: | |
| ISSN: | 1099-4300, 1099-4300 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | We consider the rate distortion problem with side information at the decoder posed and investigated by Wyner and Ziv. Using side information and encoded original data, the decoder must reconstruct the original data with an arbitrary prescribed distortion level. The rate distortion region indicating the trade-off between a data compression rate R and a prescribed distortion level Δ was determined by Wyner and Ziv. In this paper, we study the error probability of decoding for pairs of ( R , Δ ) outside the rate distortion region. We evaluate the probability of decoding such that the estimation of source outputs by the decoder has a distortion not exceeding a prescribed distortion level Δ . We prove that, when ( R , Δ ) is outside the rate distortion region, this probability goes to zero exponentially and derive an explicit lower bound of this exponent function. On the Wyner–Ziv source coding problem the strong converse coding theorem has not been established yet. We prove this as a simple corollary of our result. |
|---|---|
| AbstractList | We consider the rate distortion problem with side information at the decoder posed and investigated by Wyner and Ziv. Using side information and encoded original data, the decoder must reconstruct the original data with an arbitrary prescribed distortion level. The rate distortion region indicating the trade-off between a data compression rate R and a prescribed distortion level Δ was determined by Wyner and Ziv. In this paper, we study the error probability of decoding for pairs of ( R , Δ ) outside the rate distortion region. We evaluate the probability of decoding such that the estimation of source outputs by the decoder has a distortion not exceeding a prescribed distortion level Δ . We prove that, when ( R , Δ ) is outside the rate distortion region, this probability goes to zero exponentially and derive an explicit lower bound of this exponent function. On the Wyner-Ziv source coding problem the strong converse coding theorem has not been established yet. We prove this as a simple corollary of our result. We consider the rate distortion problem with side information at the decoder posed and investigated by Wyner and Ziv. Using side information and encoded original data, the decoder must reconstruct the original data with an arbitrary prescribed distortion level. The rate distortion region indicating the trade-off between a data compression rate R and a prescribed distortion level Δ was determined by Wyner and Ziv. In this paper, we study the error probability of decoding for pairs of ( R , Δ ) outside the rate distortion region. We evaluate the probability of decoding such that the estimation of source outputs by the decoder has a distortion not exceeding a prescribed distortion level Δ . We prove that, when ( R , Δ ) is outside the rate distortion region, this probability goes to zero exponentially and derive an explicit lower bound of this exponent function. On the Wyner-Ziv source coding problem the strong converse coding theorem has not been established yet. We prove this as a simple corollary of our result.We consider the rate distortion problem with side information at the decoder posed and investigated by Wyner and Ziv. Using side information and encoded original data, the decoder must reconstruct the original data with an arbitrary prescribed distortion level. The rate distortion region indicating the trade-off between a data compression rate R and a prescribed distortion level Δ was determined by Wyner and Ziv. In this paper, we study the error probability of decoding for pairs of ( R , Δ ) outside the rate distortion region. We evaluate the probability of decoding such that the estimation of source outputs by the decoder has a distortion not exceeding a prescribed distortion level Δ . We prove that, when ( R , Δ ) is outside the rate distortion region, this probability goes to zero exponentially and derive an explicit lower bound of this exponent function. On the Wyner-Ziv source coding problem the strong converse coding theorem has not been established yet. We prove this as a simple corollary of our result. |
| Author | Oohama, Yasutada |
| AuthorAffiliation | Department of Communication Engineering and Informatics, University of Electro-Communications, Tokyo 182-8585, Japan; oohama@uec.ac.jp ; Tel.: +81-42-443-5358 |
| AuthorAffiliation_xml | – name: Department of Communication Engineering and Informatics, University of Electro-Communications, Tokyo 182-8585, Japan; oohama@uec.ac.jp ; Tel.: +81-42-443-5358 |
| Author_xml | – sequence: 1 givenname: Yasutada surname: Oohama fullname: Oohama, Yasutada |
| BookMark | eNptkUtvEzEUhS1URB-w4B-MxAYWodfPGW-QUCgQqRISgbV147mTOJrYweMU-PeYpqpohTe27jn-dHXOOTuJKRJjLzm8ldLCJQkADVKLJ-yMg7UzJQFO_nmfsvNp2gIIKbh5xk6lFEYrJc7Y16tf-wqLJeDYLEtOcd3MU7yhPFEzpNws0yF7qrM-VOlnKJtmGXpqFrGqOywhxQZLUzbUfCCfesrP2dMBx4le3N0X7PvHq2_zz7PrL58W8_fXM6-UKbMOEXvTA3a8V4M1Cg1XEjsrNLbaeGXNSnLNBzCDHOrpjG3VShkQJAGNvGCLI7dPuHX7HHaYf7uEwd0OUl47zCX4kRyRJC7kqtK0Im-tsl0HuseBUGugynp3ZO0Pqx31vgaScXwAfajEsHHrdONazUXX8gp4fQfI6ceBpuJ2YfI0jhgpHSYnlDFt24pOVuurR9ZtzTjWqJwAbVoLXLfV9ebo8jlNU6bhfhkO7m_r7r716r185PWh3FZTdw3jf378ATYyrbA |
| CitedBy_id | crossref_primary_10_3390_e22050591 crossref_primary_10_3390_e21060567 crossref_primary_10_1109_ACCESS_2019_2934818 crossref_primary_10_3390_e21040410 crossref_primary_10_1109_TIT_2021_3058166 crossref_primary_10_1109_TIT_2023_3238339 crossref_primary_10_1109_TIT_2019_2953877 crossref_primary_10_3390_e21050469 crossref_primary_10_1109_TIT_2023_3327314 crossref_primary_10_1109_TIFS_2021_3087357 crossref_primary_10_3390_e21121171 crossref_primary_10_1109_TIT_2025_3529612 crossref_primary_10_3390_e20110825 |
| Cites_doi | 10.1109/ISIT.2015.7282593 10.1109/18.340465 10.1109/TIT.1976.1055508 10.1109/ISIT.2015.7282908 10.1109/ISIT.2015.7282721 10.1016/S0019-9958(78)90034-7 10.1109/TIT.1973.1055037 |
| ContentType | Journal Article |
| Copyright | Copyright MDPI AG 2018 2018 by the author. 2018 |
| Copyright_xml | – notice: Copyright MDPI AG 2018 – notice: 2018 by the author. 2018 |
| DBID | AAYXX CITATION 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO FR3 HCIFZ KR7 L6V M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS 7X8 5PM DOA |
| DOI | 10.3390/e20050352 |
| DatabaseName | CrossRef Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection SciTech Premium Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Technology collection ProQuest One Community College ProQuest Central Engineering Research Database SciTech Premium Collection Civil Engineering Abstracts ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic (New) Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering collection MEDLINE - Academic PubMed Central (Full Participant titles) DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef Publicly Available Content Database Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Engineering Collection Civil Engineering Abstracts Engineering Database ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) MEDLINE - Academic |
| DatabaseTitleList | Publicly Available Content Database MEDLINE - Academic CrossRef |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| EISSN | 1099-4300 |
| ExternalDocumentID | oai_doaj_org_article_ee3e123b51f54ec99498805dafea550e PMC7512871 10_3390_e20050352 |
| GroupedDBID | 29G 2WC 5GY 5VS 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ACIWK ACUHS ADBBV AEGXH AENEX AFFHD AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS BCNDV BENPR BGLVJ CCPQU CITATION CS3 DU5 E3Z ESX F5P GROUPED_DOAJ GX1 HCIFZ HH5 IAO J9A KQ8 L6V M7S MODMG M~E OK1 OVT PGMZT PHGZM PHGZT PIMPY PQGLB PROAC PTHSS RNS RPM TR2 TUS XSB ~8M 7TB 8FD ABUWG AZQEC DWQXO FR3 KR7 PKEHL PQEST PQQKQ PQUKI PRINS 7X8 5PM |
| ID | FETCH-LOGICAL-c446t-8aaad6d0a81d4f964a6143a8925a756c496b3151f06f3ffff86974b4602e30a63 |
| IEDL.DBID | PIMPY |
| ISICitedReferencesCount | 20 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000435193100045&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1099-4300 |
| IngestDate | Fri Oct 03 12:50:54 EDT 2025 Tue Nov 04 01:33:44 EST 2025 Sun Nov 09 11:54:30 EST 2025 Fri Jul 25 11:58:03 EDT 2025 Sat Nov 29 07:12:25 EST 2025 Tue Nov 18 22:25:38 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Language | English |
| License | Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c446t-8aaad6d0a81d4f964a6143a8925a756c496b3151f06f3ffff86974b4602e30a63 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 This paper is an extended version of our paper published in 2016 International Symposium on Information Theory and Its Applications, Monterey, CA, USA, 6–9 November 2016; pp. 171–175. |
| OpenAccessLink | https://www.proquest.com/publiccontent/docview/2056790157?pq-origsite=%requestingapplication% |
| PMID | 33265442 |
| PQID | 2056790157 |
| PQPubID | 2032401 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_ee3e123b51f54ec99498805dafea550e pubmedcentral_primary_oai_pubmedcentral_nih_gov_7512871 proquest_miscellaneous_2466777283 proquest_journals_2056790157 crossref_primary_10_3390_e20050352 crossref_citationtrail_10_3390_e20050352 |
| PublicationCentury | 2000 |
| PublicationDate | 2018-05-08 |
| PublicationDateYYYYMMDD | 2018-05-08 |
| PublicationDate_xml | – month: 05 year: 2018 text: 2018-05-08 day: 08 |
| PublicationDecade | 2010 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Entropy (Basel, Switzerland) |
| PublicationYear | 2018 |
| Publisher | MDPI AG MDPI |
| Publisher_xml | – name: MDPI AG – name: MDPI |
| References | Wyner (ref_1) 1976; 22 Wolfowiz (ref_3) 1966; Volume 1 Slepian (ref_10) 1973; 19 Shannon (ref_2) 1959; 7 Oohama (ref_9) 1994; 40 ref_8 Wyner (ref_12) 1978; 38 ref_11 ref_5 ref_4 ref_7 ref_6 |
| References_xml | – ident: ref_6 doi: 10.1109/ISIT.2015.7282593 – ident: ref_8 doi: 10.1109/ISIT.2015.7282593 – volume: 7 start-page: 142 year: 1959 ident: ref_2 article-title: Coding theorems for a discrete source with a fidelity criterion publication-title: IRE Nat. Conv. Rec. – volume: 40 start-page: 1908 year: 1994 ident: ref_9 article-title: Universal coding for the Slepian-wolf data compression system and the strong converse theorem publication-title: IEEE Trans. Inf. Theory doi: 10.1109/18.340465 – ident: ref_4 – volume: 22 start-page: 1 year: 1976 ident: ref_1 article-title: The rate-distortion function for source coding with side information at the decoder publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.1976.1055508 – ident: ref_7 doi: 10.1109/ISIT.2015.7282908 – ident: ref_11 – ident: ref_5 doi: 10.1109/ISIT.2015.7282721 – volume: 38 start-page: 60 year: 1978 ident: ref_12 article-title: The rate-distortion function for source coding with side information at the decoder-II: General sources publication-title: Inf. Control doi: 10.1016/S0019-9958(78)90034-7 – volume: Volume 1 start-page: 566 year: 1966 ident: ref_3 article-title: Approximation with a fidelity criterion publication-title: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability – volume: 19 start-page: 471 year: 1973 ident: ref_10 article-title: Noiseless coding of correlated information sources publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.1973.1055037 |
| SSID | ssj0023216 |
| Score | 2.304431 |
| Snippet | We consider the rate distortion problem with side information at the decoder posed and investigated by Wyner and Ziv. Using side information and encoded... |
| SourceID | doaj pubmedcentral proquest crossref |
| SourceType | Open Website Open Access Repository Aggregation Database Enrichment Source Index Database |
| StartPage | 352 |
| SubjectTerms | Codes Coding Communication channels Data compression Decoding Distortion Error analysis exponent function outside the rate distortion region Lower bounds source coding with side information at the decoder strong converse theorem the rate distortion region |
| SummonAdditionalLinks | – databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3PS8MwFA4yPHgRRcXplCgevJS1TZofR50bHmSIU9itpG2iA-nG1ol_vu-1XVlB8GKPSQ7p99q870tfvxBywxOnbIqfBo3yPc6U83Toa88Yk0C6ChLnylNLnuR4rKZT_bx11BfWhFX2wBVwfWuZhdU1iQIXcZtqzTU8clFmnDXAri2uvr7UGzFVSy0WBqLyEWIg6vs2LH1PorCVfUqT_hazbNdFbiWa0QHZrxkivatmdkh2bH5EXobfi3mOlT3QNcHt63c6wILx5cpS4J10Um7CQxvmIoq7q3QyyyytfzdC-KkpKNA9-mDxP_blMXkbDV8Hj159HIKXgmYrPAX4ZSLzDVBM7rTgBlIrM0qHkZGRSLkWAC_g5AvHHFxKgFhIuPBDy3wj2Anp5DDVU0JBTjvgOs4kAToAhkkmU5mlQFdY5lgku-R2A1Oc1l7heGTFZwyaARGNG0S75LoZuqgMMn4bdI9YNwPQ07psgEjHdaTjvyLdJb1NpOL6RVvFIRA4iZwG5nzVdMMrgt89TG7naxjDhZCgIhTrEtmKcGtC7Z589lGabUtgRCAqz_7jDs7JHvAtVdZLqh7pFMu1vSC76VcxWy0vyyf4B2ta-Fk priority: 102 providerName: Directory of Open Access Journals |
| Title | Exponential Strong Converse for Source Coding with Side Information at the Decoder |
| URI | https://www.proquest.com/docview/2056790157 https://www.proquest.com/docview/2466777283 https://pubmed.ncbi.nlm.nih.gov/PMC7512871 https://doaj.org/article/ee3e123b51f54ec99498805dafea550e |
| Volume | 20 |
| WOSCitedRecordID | wos000435193100045&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: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: DOA dateStart: 20160101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: M~E dateStart: 19990101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: M7S dateStart: 19990301 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: BENPR dateStart: 19990301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: PIMPY dateStart: 19990301 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Nj9MwEB2xLQcufAgQYZfIIA5cok1jxx8nxC5dgQRVtQWpnCInsZdKKO2mXcSJ385M6gYiIU7k0ENsKU4n9rw3Hr8BeClKr11FW4NWp4ng2icmS01irS3RXU1K77uqJR_UbKaXSzMPx6O3Ia3ysCZ2C_Ve7ZnytnERPq3XFUXMkbLnUpErU6831wnVkKK91lBQ4wjGJLyVjmA8f_9x_qUnYDybyL26EEeqf-qyTg0lzwY-qZPuH-DNYbbkH-7n4t7_Hfh9uBtgKHuz_24ewC3XPITL6Y_NuqH0IWxaUIz8ip1TVnq7dQzBLVt0kX68Rw6PUQiXLVa1Y-FME9mY2R1DTMneOjos3z6CzxfTT-fvklBzIamQGO4SjUaqZZ1axLHCGyks-m9utclyq3JZCSPRhvnEp9Jzj5eWyEhKIdPM8dRK_hhGDQ71CTDk7B4BlbflhGQGs7JWlaorxES89jxXEbw6_OtFFQTJqS7GtwKJCRmo6A0UwYu-62avwvG3Tmdkur4DCWd3N9btVRHmYeEcd-isS3yDXLjKGGFwBctr651FsuYiODlYsQizeVv8NloEz_tmnIe0uWIbt77BPkJKhVRF8wjU4IMZDGjY0qy-doreCmEXMten_374MdxBuKa7dEt9AqNde-Oewe3q-261bWM4Uksdw_hsOptfxl1sIaZM1gX9_pzGYTL8ArjmGHo |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lj9MwEB4tXSS48BAgAgsYBBKXiNR2_DggBPvQVtutKrpIyynrOPZSCaUl7fL4U_xGxmkSiIS47YEc41Fix19mvrHHMwDPee6Vs2Fr0Kgk5kz5WNNEx8aYHM3VMPe-rloylpOJOj3V0y342Z6FCWGVrU6sFXWxsGGNHJ30VMhgvOSb5Zc4VI0Ku6ttCY0NLI7cj2_osq1ej_Zwfl9QerB_snsYN1UFYouuzzpW2I1CFIlBpsa9FtyghWJGaZoamQrLtcBepkOfCM88Xkog5865SKhjiREMn3sFtjmCPRnA9nR0PP3YuXiMDsUmfxFjOnnlaJ1vJaU9q1cXB-gx2n485h8G7uDm__ZpbsGNhkqTtxvs34YtV96B9_vfl4syhEBh0yys85-T3RBZX60cQYJOZvVuBd4LRpuEZWgymxeONOeyAk6JWRPkxWTPhQP_1V34cCnDuAeDErt6H4jLqUdS6E0-DKkSaV5IKwuLvI4VnqUygpftvGa2Saoeant8ztC5ChDIOghE8KwTXW4yifxN6F0ARycQkn_XNxbVedboksw55pBw5DiClDurNdeohdPCeGfQ4XQR7LQ4yRqNtMp-gySCp10z6pKwQWRKt7hAGS6ERHdLsQhkD5K9DvVbyvmnOiu5ROqI3veDf7_8CVw7PDkeZ-PR5OghXEf6qerwUbUDg3V14R7BVft1PV9Vj5tfi8DZZUP2F1yRYwM |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB6VFCEuPASohgILAomLVWfX3scBIdokomoVRQ1IvZm1vVsiISc4KY-_xq9jxrENlhC3HvDRu7J37c8z37c7ngF4EWdeu5y2Bq2OwlhoHxoemdBam6G7Gmbe11VLTtV0qs_PzWwHfrb_wlBYZWsTa0NdLHNaI0eRnkhFzksd-CYsYjaavFl9CamCFO20tuU0thA5cT--oXxbvz4e4bt-yflk_P7oXdhUGAhzlEGbUOOQCllEFllb7I2MLXorYbXhiVWJzGMjccTJ0EfSC4-Hlsi_s1hG3InISoHXvQa7SqDoGcDu4Xg6O-vknuBDuc1lJISJDhyvc68kvOcB60IBPXbbj838w9lNbv_Pj-kO3GooNnu7_Sbuwo4r78HZ-PtqWVJoFDbNaf3_gh1RxH21dgyJO5vXuxh4jpw5o-VpNl8UjjX_axF-md0w5Mts5CgRQHUfPlzJNB7AoMSh7gFzGfdIFr3NhpRCkWeFylWRI98ThReJCuBV-47TvEm2TjU_PqcouggOaQeHAJ53XVfbDCN_63RIQOk6UFLw-sSyukgbG5M6JxwSkQxnkMQuNyY2aJ2TwnpnUYi6APZbzKSNpVqnvwETwLOuGW0MbRzZ0i0vsU8spUIZpkUAqgfP3oD6LeXiU52tXCGlRFX-8N83fwo3EKfp6fH05BHcRFaq66hSvQ-DTXXpHsP1_Otmsa6eNF8Zg49XjdhfsXBrnQ |
| 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=Exponential+Strong+Converse+for+Source+Coding+with+Side+Information+at+the+Decoder&rft.jtitle=Entropy+%28Basel%2C+Switzerland%29&rft.au=Oohama%2C+Yasutada&rft.date=2018-05-08&rft.pub=MDPI+AG&rft.eissn=1099-4300&rft.volume=20&rft.issue=5&rft.spage=352&rft_id=info:doi/10.3390%2Fe20050352&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1099-4300&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1099-4300&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1099-4300&client=summon |