{"id":"https://openalex.org/W2904398706","doi":"https://doi.org/10.1109/lcomm.2018.2886261","title":"More Accurate Analysis of Sum-Product Decoding of LDPC Codes Using a Gaussian Approximation","display_name":"More Accurate Analysis of Sum-Product Decoding of LDPC Codes Using a Gaussian Approximation","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2904398706","doi":"https://doi.org/10.1109/lcomm.2018.2886261","mag":"2904398706"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2018.2886261","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2018.2886261","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arts.units.it/bitstream/11368/2932448/1/VSB-LDPC-phi-bounds-4-pages-CL-final.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075301232","display_name":"F. Vatta","orcid":"https://orcid.org/0000-0003-4105-8084"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesca Vatta","raw_affiliation_strings":["Department of Engineering and Architecture, University of Trieste, Trieste, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4105-8084","affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025561875","display_name":"Alessandro Soranzo","orcid":"https://orcid.org/0000-0002-9766-3366"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Soranzo","raw_affiliation_strings":["Dipartimento di Matematica e Geoscienze, University of Trieste, Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Geoscienze, University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091426192","display_name":"F. Babich","orcid":"https://orcid.org/0000-0003-0121-5524"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fulvio Babich","raw_affiliation_strings":["Department of Engineering and Architecture, University of Trieste, Trieste, Italy"],"raw_orcid":"https://orcid.org/0000-0003-0121-5524","affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142444530"],"apc_list":null,"apc_paid":null,"fwci":3.4119,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.93191437,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"2","first_page":"230","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.8570448756217957},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.683813214302063},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6488562822341919},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.6016070246696472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5891331434249878},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.5473097562789917},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5131879448890686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48260819911956787},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4743838608264923},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4710286259651184},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4479069113731384},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4424659311771393},{"id":"https://openalex.org/keywords/factor-graph","display_name":"Factor graph","score":0.42833733558654785},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4236193895339966},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3779141306877136},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.2275281846523285},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.21722915768623352},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.1891266107559204},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11911416053771973},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08368152379989624},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07966539263725281}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8570448756217957},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.683813214302063},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6488562822341919},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.6016070246696472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5891331434249878},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.5473097562789917},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5131879448890686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48260819911956787},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4743838608264923},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4710286259651184},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4479069113731384},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4424659311771393},{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.42833733558654785},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4236193895339966},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3779141306877136},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2275281846523285},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.21722915768623352},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.1891266107559204},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11911416053771973},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08368152379989624},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07966539263725281},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcomm.2018.2886261","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2018.2886261","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:arts.units.it:11368/2932448","is_oa":true,"landing_page_url":"http://hdl.handle.net/11368/2932448","pdf_url":"https://arts.units.it/bitstream/11368/2932448/1/VSB-LDPC-phi-bounds-4-pages-CL-final.pdf","source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arts.units.it:11368/2932448","is_oa":true,"landing_page_url":"http://hdl.handle.net/11368/2932448","pdf_url":"https://arts.units.it/bitstream/11368/2932448/1/VSB-LDPC-phi-bounds-4-pages-CL-final.pdf","source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904398706.pdf","grobid_xml":"https://content.openalex.org/works/W2904398706.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1577906631","https://openalex.org/W2109489513","https://openalex.org/W2112498431","https://openalex.org/W2124549777","https://openalex.org/W2127490352","https://openalex.org/W2128552304","https://openalex.org/W2128765501","https://openalex.org/W2137699000","https://openalex.org/W2154572310","https://openalex.org/W2161662805","https://openalex.org/W2561564273","https://openalex.org/W2626762393","https://openalex.org/W2769645380","https://openalex.org/W2857950012","https://openalex.org/W3119264854","https://openalex.org/W4300188436","https://openalex.org/W6684008922"],"related_works":["https://openalex.org/W3152713649","https://openalex.org/W2885795561","https://openalex.org/W3009052662","https://openalex.org/W26187695","https://openalex.org/W2011305240","https://openalex.org/W4289655494","https://openalex.org/W1984351496","https://openalex.org/W2122977448","https://openalex.org/W2124250880","https://openalex.org/W2150312244"],"abstract_inverted_index":{"This":[0,122],"letter":[1],"presents":[2],"a":[3,38,124,139],"more":[4,125],"accurate":[5,126],"mathematical":[6],"analysis,":[7],"with":[8],"respect":[9],"to":[10,94],"the":[11,59,69,74,105,110,114,129],"one":[12],"performed":[13],"in":[14,52,92,109],"Chung":[15,53],"et":[16,54],"al.'s":[17,55],"2001":[18,56],"paper,":[19,57,113],"of":[20,84,128,132,135],"belief-propagation":[21],"decoding":[22,134],"for":[23,42],"low-density":[24],"parity-check":[25],"(LDPC)":[26],"codes":[27,137],"on":[28,101,118],"memoryless":[29],"binary":[30],"input-additive":[31],"white":[32],"Gaussian":[33,39],"noise":[34],"channels,":[35],"when":[36,138],"considering":[37],"approximation":[40],"(GA)":[41],"message":[43,60],"densities":[44],"under":[45],"density":[46],"evolution.":[47],"The":[48,82],"recurrent":[49],"sequence,":[50],"defined":[51],"describing":[58],"passing":[61],"between":[62],"variable":[63],"and":[64,72,79,90,98],"check":[65],"nodes":[66],"follows":[67],"from":[68],"GA":[70,140],"approach":[71],"involves":[73],"function":[75,86],"\u03c6(x),":[76],"therein":[77],"defined,":[78],"its":[80],"inverse.":[81],"analysis":[83],"this":[85],"is":[87,120,141],"here":[88],"resumed":[89],"studied":[91],"depth":[93],"obtain":[95],"tighter":[96,115],"upper":[97,106,116],"lower":[99],"bounds":[100],"it.":[102],"Moreover,":[103],"unlike":[104],"bound":[107,117],"given":[108],"above":[111],"cited":[112],"\u03c6(x)":[119],"invertible.":[121],"allows":[123],"evaluation":[127],"asymptotical":[130],"performance":[131],"sum-product":[133],"LDPC":[136],"assumed.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}