{"id":"https://openalex.org/W2049802296","doi":"https://doi.org/10.1109/isit.2013.6620298","title":"A new extremal entropy inequality with applications","display_name":"A new extremal entropy inequality with applications","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2049802296","doi":"https://doi.org/10.1109/isit.2013.6620298","mag":"2049802296"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620298","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":"article","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/A5068733127","display_name":"Hon-Fah Chong","orcid":null},"institutions":[{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Hon-Fah Chong","raw_affiliation_strings":["Institute for Infocomm Research, Singapore","Inst. For Infocomm Res., Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Singapore","institution_ids":["https://openalex.org/I3005327000"]},{"raw_affiliation_string":"Inst. For Infocomm Res., Singapore, Singapore","institution_ids":["https://openalex.org/I3005327000"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007832415","display_name":"Ying\u2010Chang Liang","orcid":"https://orcid.org/0000-0003-2671-5090"},"institutions":[{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ying-Chang Liang","raw_affiliation_strings":["Institute for Infocomm Research, Singapore","Inst. For Infocomm Res., Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Singapore","institution_ids":["https://openalex.org/I3005327000"]},{"raw_affiliation_string":"Inst. For Infocomm Res., Singapore, Singapore","institution_ids":["https://openalex.org/I3005327000"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3005327000"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11060196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"609","last_page":"613"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy-power-inequality","display_name":"Entropy power inequality","score":0.7264087200164795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6895851492881775},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6277021169662476},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5945765376091003},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5795656442642212},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.4785397946834564},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4681565761566162},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4607800543308258},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.324515700340271},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.23413771390914917},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.22279605269432068},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16474226117134094},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09169796109199524}],"concepts":[{"id":"https://openalex.org/C320580","wikidata":"https://www.wikidata.org/wiki/Q5380810","display_name":"Entropy power inequality","level":5,"score":0.7264087200164795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6895851492881775},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6277021169662476},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5945765376091003},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5795656442642212},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.4785397946834564},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4681565761566162},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4607800543308258},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.324515700340271},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.23413771390914917},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.22279605269432068},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16474226117134094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09169796109199524},{"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/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620298","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620298","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":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2010683218","https://openalex.org/W2014739224","https://openalex.org/W2080983004","https://openalex.org/W2101107238","https://openalex.org/W2102742494","https://openalex.org/W2117998210","https://openalex.org/W2159816666","https://openalex.org/W2952437157","https://openalex.org/W3105573210"],"related_works":["https://openalex.org/W2466816617","https://openalex.org/W1970834875","https://openalex.org/W842936808","https://openalex.org/W3174028392","https://openalex.org/W2000517284","https://openalex.org/W2365318811","https://openalex.org/W2136503713","https://openalex.org/W2375330620","https://openalex.org/W4385752617","https://openalex.org/W3206579266"],"abstract_inverted_index":{"Liu":[0],"et":[1,63],"al.":[2],"proved":[3],"an":[4,105],"extremal":[5,65,112],"entropy":[6,66,113],"inequality":[7,16],"using":[8,26],"a":[9,27,31,75,121],"vector":[10,49],"generalization":[11],"of":[12,37,60,69,92,110,120,123],"the":[13,35,41,61,89,93,111,117],"Costa":[14,20],"entropy-power":[15],"(EPI).":[17],"The":[18],"generalized":[19],"EPI":[21],"was":[22,85],"proved,":[23],"in":[24,47],"turn,":[25],"perturbation":[28,71],"approach":[29],"via":[30],"fundamental":[32],"relationship":[33],"between":[34],"derivative":[36],"mutual":[38],"information":[39],"and":[40,82,101,132],"minimum":[42],"mean-square":[43],"error":[44],"(MMSE)":[45],"estimate":[46],"linear":[48],"Gaussian":[50,94,126],"channels.":[51],"In":[52],"this":[53],"paper,":[54],"we":[55,73,107],"consider":[56],"two":[57],"new":[58,76],"variations":[59],"(Liu":[62],"al.)":[64],"inequality.":[67],"Instead":[68],"employing":[70],"approaches,":[72],"employ":[74],"method":[77],"recently":[78],"introduced":[79],"by":[80],"Geng":[81],"Nair,":[83],"which":[84],"used":[86],"to":[87,115],"resolve":[88],"capacity":[90,118],"region":[91,119],"MIMO":[95,127],"broadcast":[96],"channel":[97],"(BC)":[98],"with":[99,129],"common":[100],"private":[102],"messages.":[103],"As":[104],"application,":[106],"use":[108],"one":[109],"inequalities":[114],"prove":[116],"class":[122],"reversely":[124],"degraded":[125],"BC":[128],"three":[130],"users":[131],"three-degraded":[133],"message":[134],"sets.":[135]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}