{"id":"https://openalex.org/W2133298560","doi":"https://doi.org/10.1109/tsp.2011.2162955","title":"Optimal Dual Frames for Communication Coding With Probabilistic Erasures","display_name":"Optimal Dual Frames for Communication Coding With Probabilistic Erasures","publication_year":2011,"publication_date":"2011-08-03","ids":{"openalex":"https://openalex.org/W2133298560","doi":"https://doi.org/10.1109/tsp.2011.2162955","mag":"2133298560"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2162955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2162955","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/facultybib2010/1532","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108338888","display_name":"Jinsong Leng","orcid":"https://orcid.org/0000-0001-5985-5730"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinsong Leng","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012358060","display_name":"Deguang Han","orcid":"https://orcid.org/0000-0003-1104-4714"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deguang Han","raw_affiliation_strings":["Department ofMathematics, University of Central Florida, Orlando, FL, USA","Dept. of Math, Univ. of Central Florida, Orlando, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department ofMathematics, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]},{"raw_affiliation_string":"Dept. of Math, Univ. of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065782725","display_name":"Ting\u2010Zhu Huang","orcid":"https://orcid.org/0000-0001-7766-230X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingzhu Huang","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9811,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.95648744,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"59","issue":"11","first_page":"5380","last_page":"5389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9825999736785889,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7555878758430481},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6409791707992554},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5563315153121948},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5372680425643921},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.5345956683158875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5203094482421875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49477285146713257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44764044880867004},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26733118295669556},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10360342264175415},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08197799324989319}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7555878758430481},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6409791707992554},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5563315153121948},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5372680425643921},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5345956683158875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5203094482421875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49477285146713257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44764044880867004},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26733118295669556},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10360342264175415},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08197799324989319},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2011.2162955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2162955","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:stars.library.ucf.edu:facultybib2010-2531","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2010/1532","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2010s","raw_type":"text"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2010-2913","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2010/1914","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2010-2014","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:facultybib2010-2531","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2010/1532","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2010s","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W13280838","https://openalex.org/W571244821","https://openalex.org/W1571821595","https://openalex.org/W1963682089","https://openalex.org/W1966245736","https://openalex.org/W1972334901","https://openalex.org/W1974565454","https://openalex.org/W1984691108","https://openalex.org/W1988693396","https://openalex.org/W1996415070","https://openalex.org/W2024762093","https://openalex.org/W2034875665","https://openalex.org/W2051772613","https://openalex.org/W2063065395","https://openalex.org/W2072565885","https://openalex.org/W2083187425","https://openalex.org/W2086869478","https://openalex.org/W2091144537","https://openalex.org/W2118799423","https://openalex.org/W2119533424","https://openalex.org/W2123350510","https://openalex.org/W2124379995","https://openalex.org/W2134524318","https://openalex.org/W2138225826","https://openalex.org/W2146483404","https://openalex.org/W2157312770","https://openalex.org/W2171229197","https://openalex.org/W2172023570","https://openalex.org/W4230855165","https://openalex.org/W4242220813","https://openalex.org/W6600538878"],"related_works":["https://openalex.org/W3203142394","https://openalex.org/W4302615923","https://openalex.org/W2542937328","https://openalex.org/W1974101135","https://openalex.org/W2351061015","https://openalex.org/W2017509870","https://openalex.org/W4360952157","https://openalex.org/W4220731478","https://openalex.org/W2069409835","https://openalex.org/W4242191701"],"abstract_inverted_index":{"Assume":[0],"that":[1],"a":[2,9,47,61,73],"frame":[3,63,83,102],"is":[4,84,103,109],"preselected":[5],"for":[6,18,60,97,142],"encoding":[7],"in":[8,32],"communication":[10],"system.":[11],"We":[12,44,71,117],"investigate":[13],"the":[14,24,28,33,37,54,65,80,85,99,113,124,129,134],"optimal":[15,56,106,110,115,136],"dual":[16,58,82,88,101,131,138],"frames":[17,59,132,139],"signal":[19],"reconstruction":[20,125],"(decoding)":[21],"which":[22,51,79,98],"minimize":[23],"maximal":[25],"error":[26],"when":[27,64,127],"probabilistic":[29,69],"erasures":[30],"occur":[31],"transmission":[34],"process":[35],"from":[36],"perspective":[38],"of":[39,42],"mathematical":[40],"theory":[41],"frames.":[43],"set":[45],"up":[46],"probability":[48,55],"model":[49],"under":[50,78],"we":[52,91],"define":[53],"(PO)":[57],"given":[62],"frame-based":[66],"coding":[67],"involves":[68],"erasures.":[70],"obtain":[72],"sufficient":[74,95],"and":[75,133],"necessary":[76],"condition":[77],"canonical":[81,100],"unique":[86,114],"PO":[87,130],"frame.":[89],"Additionally,":[90],"derive":[92],"some":[93],"general":[94,135],"conditions":[96],"either":[104],"not":[105,112],"or":[107],"it":[108],"but":[111],"one.":[116],"present":[118],"two":[119],"simulation":[120],"examples":[121],"to":[122],"compare":[123],"effects":[126],"both":[128],"(GO)":[137],"are":[140],"used":[141],"reconstruction.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
