{"id":"https://openalex.org/W2132495713","doi":"https://doi.org/10.1109/isit.2013.6620460","title":"Achieving the AWGN channel capacity with lattice Gaussian coding","display_name":"Achieving the AWGN channel capacity with lattice Gaussian coding","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2132495713","doi":"https://doi.org/10.1109/isit.2013.6620460","mag":"2132495713"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065795716","display_name":"Cong Ling","orcid":"https://orcid.org/0000-0001-7873-4862"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Cong Ling","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113661237","display_name":"Jean\u2010Claude Belfiore","orcid":null},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Claude Belfiore","raw_affiliation_strings":["D\u00e9partement Communications et Electronique, T\u00e9l\u00e9com-ParisTech, Paris, France","Dept. Commun. et Electron., Telecom ParisTech, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement Communications et Electronique, T\u00e9l\u00e9com-ParisTech, Paris, France","institution_ids":["https://openalex.org/I12356871"]},{"raw_affiliation_string":"Dept. Commun. et Electron., Telecom ParisTech, Paris, France","institution_ids":["https://openalex.org/I12356871"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9203,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87757284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1416","last_page":"1420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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":0.9993000030517578,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9980000257492065,"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/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.8486911058425903},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5845514535903931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5601624250411987},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5417931079864502},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5224898457527161},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.47226086258888245},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4688348174095154},{"id":"https://openalex.org/keywords/dither","display_name":"Dither","score":0.4606779217720032},{"id":"https://openalex.org/keywords/lattice-phase-equaliser","display_name":"Lattice phase equaliser","score":0.4230383038520813},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.3994917571544647},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.3879844546318054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38441914319992065},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3502540588378906},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3251364529132843},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2132115662097931},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.20501267910003662},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19605079293251038},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.12032395601272583},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.08814963698387146}],"concepts":[{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.8486911058425903},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5845514535903931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5601624250411987},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5417931079864502},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5224898457527161},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.47226086258888245},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4688348174095154},{"id":"https://openalex.org/C70451592","wikidata":"https://www.wikidata.org/wiki/Q376493","display_name":"Dither","level":3,"score":0.4606779217720032},{"id":"https://openalex.org/C111104540","wikidata":"https://www.wikidata.org/wiki/Q1807061","display_name":"Lattice phase equaliser","level":3,"score":0.4230383038520813},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.3994917571544647},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.3879844546318054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38441914319992065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3502540588378906},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3251364529132843},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2132115662097931},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.20501267910003662},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19605079293251038},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.12032395601272583},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.08814963698387146},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1512015702","https://openalex.org/W1512888666","https://openalex.org/W2018877773","https://openalex.org/W2098234850","https://openalex.org/W2099111195","https://openalex.org/W2114664664","https://openalex.org/W2115001548","https://openalex.org/W2120042476","https://openalex.org/W2129344187","https://openalex.org/W2144099979","https://openalex.org/W2151450116","https://openalex.org/W2160973043","https://openalex.org/W6630735667"],"related_works":["https://openalex.org/W2389128124","https://openalex.org/W1974392290","https://openalex.org/W3103566292","https://openalex.org/W1607924090","https://openalex.org/W3090071501","https://openalex.org/W2165991268","https://openalex.org/W2015705343","https://openalex.org/W4244093570","https://openalex.org/W2301162158","https://openalex.org/W1682736069"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,39,51,72],"new":[3],"coding":[4,63,104],"scheme":[5,37,64,88],"using":[6],"only":[7],"one":[8],"lattice":[9,12,53,62,94],"that,":[10],"under":[11,89],"decoding,":[13],"achieves":[14],"the":[15,22,30,60,76,82,86,98,114],"1/2":[16],"log(1":[17],"+":[18],"SNR)":[19],"capacity":[20],"of":[21,65,85,102],"additive":[23],"white":[24],"Gaussian":[25,41],"noise":[26],"(AWGN)":[27],"channel,":[28],"when":[29],"signal-to-noise":[31],"ratio":[32],"SNR":[33],">":[34],"3.":[35],"The":[36],"applies":[38],"discrete":[40],"distribution":[42],"over":[43,105],"an":[44,106],"AWGN-good":[45],"lattice,":[46,108],"but":[47],"does":[48],"not":[49],"require":[50],"shaping":[52],"or":[54],"dither.":[55],"Thus,":[56],"it":[57],"significantly":[58],"simplifies":[59],"default":[61],"Erez":[66],"and":[67],"Zamir":[68],"which":[69],"additionally":[70],"involves":[71],"quantization-good":[73],"lattice.":[74],"Using":[75],"flatness":[77],"factor,":[78],"we":[79],"show":[80],"that":[81,101],"error":[83,92],"probability":[84],"proposed":[87],"minimum":[90],"mean-square":[91],"(MMSE)":[93],"decoding":[95],"is":[96],"almost":[97],"same":[99],"as":[100],"Poltyrev's":[103],"infinite":[107],"for":[109],"any":[110],"rate":[111],"up":[112],"to":[113],"AWGN":[115],"channel":[116],"capacity.":[117]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
