{"id":"https://openalex.org/W2904172822","doi":"https://doi.org/10.1109/access.2018.2886304","title":"Optimal Dual Frames for Probabilistic Erasures","display_name":"Optimal Dual Frames for Probabilistic Erasures","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2904172822","doi":"https://doi.org/10.1109/access.2018.2886304","mag":"2904172822"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2886304","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2886304","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08572691.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08572691.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100384470","display_name":"Dongwei Li","orcid":"https://orcid.org/0000-0001-9437-4510"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongwei Li","raw_affiliation_strings":["School of Mathematics, Hefei University of Technology, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102964760","display_name":"Jinsong Leng","orcid":"https://orcid.org/0000-0002-6950-2055"},"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"],"raw_orcid":"https://orcid.org/0000-0002-6950-2055","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070114389","display_name":"Miao He","orcid":"https://orcid.org/0000-0001-7332-0951"},"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":"Miao He","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology 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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2075,"currency":"USD","value_usd":2075},"apc_paid":{"value":2075,"currency":"USD","value_usd":2075},"fwci":0.3245,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.54925907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"2774","last_page":"2781"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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":0.996999979019165,"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/computer-science","display_name":"Computer science","score":0.6736488938331604},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6201984882354736},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5704549551010132},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44123610854148865},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39293792843818665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25827154517173767}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6736488938331604},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6201984882354736},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5704549551010132},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44123610854148865},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39293792843818665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25827154517173767},{"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":2,"locations":[{"id":"doi:10.1109/access.2018.2886304","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2886304","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08572691.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5c60d971982e48cbbcbcef18e497078c","is_oa":true,"landing_page_url":"https://doaj.org/article/5c60d971982e48cbbcbcef18e497078c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 2774-2781 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2886304","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2886304","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08572691.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2964202285","display_name":null,"funder_award_id":"LJT10110010115","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904172822.pdf","grobid_xml":"https://content.openalex.org/works/W2904172822.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1996415070","https://openalex.org/W2018234197","https://openalex.org/W2021738313","https://openalex.org/W2056372772","https://openalex.org/W2056420154","https://openalex.org/W2072565885","https://openalex.org/W2086869478","https://openalex.org/W2089262148","https://openalex.org/W2119533424","https://openalex.org/W2133298560","https://openalex.org/W2143837665","https://openalex.org/W2146483404","https://openalex.org/W2157132273","https://openalex.org/W2157312770","https://openalex.org/W2524251556","https://openalex.org/W2553440858","https://openalex.org/W2765955058","https://openalex.org/W2792120088","https://openalex.org/W2963596178","https://openalex.org/W4205418217"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W1497573972","https://openalex.org/W2071659383","https://openalex.org/W1846253165"],"abstract_inverted_index":{"Assume":[0],"that":[1,45,105],"a":[2,9,40,70,77,113],"frame":[3,110,117],"is":[4,49,111],"given":[5],"for":[6,18,55,142],"encoding":[7],"in":[8,31,60],"communication":[10],"system.":[11],"J.":[12],"Lenget":[13],"al.investigated":[14],"its":[15],"dual":[16,48,54,81,109,116,127,138],"frames":[17,82,139],"signal":[19],"decoding":[20],"which":[21,76,103],"minimize":[22],"the":[23,27,32,46,50,64,89,92,106,120,124,129,134],"maximal":[24],"error":[25],"when":[26,123],"probabilistic":[28],"erasures":[29],"occur":[30],"transmission":[33],"process.":[34],"In":[35],"this":[36],"paper,":[37],"we":[38,99],"present":[39,100],"new":[41,130],"sufficient":[42,73],"condition":[43,74],"such":[44],"canonical":[47],"unique":[51],"probability":[52,84,114,131,136],"optimal":[53,85,93,108,115,126,137],"erasures.":[56],"The":[57],"determination":[58],"conditions":[59],"our":[61],"results":[62],"reduces":[63],"computational":[65],"complexity.":[66],"We":[67],"also":[68],"give":[69],"necessary":[71],"and":[72,87,118,133],"under":[75],"kind":[78],"of":[79,95],"alternative":[80],"are":[83,140],"dual,":[86],"study":[88],"relation":[90],"between":[91],"duals":[94],"equivalent":[96],"frames.":[97],"Moreover,":[98],"several":[101],"examples":[102],"show":[104],"general":[107,125],"not":[112],"compare":[119],"reconstruction":[121],"effects":[122],"frames,":[128],"optimal,":[132],"existing":[135],"used":[141],"decoding.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}