{"id":"https://openalex.org/W2097133655","doi":"https://doi.org/10.1109/allerton.2010.5707090","title":"Codebook information does not reduce output entropy when rate is above capacity","display_name":"Codebook information does not reduce output entropy when rate is above capacity","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2097133655","doi":"https://doi.org/10.1109/allerton.2010.5707090","mag":"2097133655"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5707090","is_oa":true,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707090","pdf_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5707090","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5707090","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041915281","display_name":"Xiugang Wu","orcid":"https://orcid.org/0000-0002-8130-975X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Xiugang Wu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","Department of Electrical and Computer Engineering, University of Waterloo ON, Canada N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo ON, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102212634","display_name":"Liang\u2010Liang Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Liang-Liang Xie","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","Department of Electrical and Computer Engineering, University of Waterloo ON, Canada N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo ON, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041915281"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.3725,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66472409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1496","last_page":"1501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9905999898910522,"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/codebook","display_name":"Codebook","score":0.9794543385505676},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.703087568283081},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.6550251245498657},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6443129777908325},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.6170074939727783},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.5707888603210449},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.565466046333313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.548545241355896},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4693392813205719},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.4653632938861847},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.44532883167266846},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4441969692707062},{"id":"https://openalex.org/keywords/lossless-compression","display_name":"Lossless compression","score":0.4402481019496918},{"id":"https://openalex.org/keywords/linde\u2013buzo\u2013gray-algorithm","display_name":"Linde\u2013Buzo\u2013Gray algorithm","score":0.4231041669845581},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39975467324256897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37240156531333923},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.30852383375167847},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3035029470920563},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19464093446731567},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.17888414859771729},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15155938267707825},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15145480632781982},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.10004150867462158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07632988691329956}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.9794543385505676},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.703087568283081},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6550251245498657},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6443129777908325},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.6170074939727783},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.5707888603210449},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.565466046333313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.548545241355896},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4693392813205719},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.4653632938861847},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.44532883167266846},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4441969692707062},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.4402481019496918},{"id":"https://openalex.org/C93372532","wikidata":"https://www.wikidata.org/wiki/Q6552455","display_name":"Linde\u2013Buzo\u2013Gray algorithm","level":3,"score":0.4231041669845581},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39975467324256897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37240156531333923},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.30852383375167847},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3035029470920563},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19464093446731567},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.17888414859771729},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15155938267707825},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15145480632781982},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.10004150867462158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07632988691329956},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2010.5707090","is_oa":true,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707090","pdf_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5707090","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.724.9470","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.724.9470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ece.uwaterloo.ca/%7Ellxie/pdf_files/WuXie10b.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1109/allerton.2010.5707090","is_oa":true,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707090","pdf_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5707090","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2097133655.pdf","grobid_xml":"https://content.openalex.org/works/W2097133655.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W125554881","https://openalex.org/W1994384216","https://openalex.org/W1995875735","https://openalex.org/W2099111195","https://openalex.org/W2103335393","https://openalex.org/W2110266514","https://openalex.org/W2143157029","https://openalex.org/W2151393883","https://openalex.org/W2167447263","https://openalex.org/W6605070926","https://openalex.org/W6682410772"],"related_works":["https://openalex.org/W1639610109","https://openalex.org/W2355032504","https://openalex.org/W2393018242","https://openalex.org/W2360633334","https://openalex.org/W2101839068","https://openalex.org/W1940433659","https://openalex.org/W2369974583","https://openalex.org/W2735172431","https://openalex.org/W2148700532","https://openalex.org/W2393922797"],"abstract_inverted_index":{"Under":[0],"the":[1,6,11,15,32,37,46,51,56,59,64,68,75,80,91,97,102,107,111,119,124,134,142,148,155,170,175,183,187,198,210,227,235,239],"standard":[2],"random":[3,81],"coding":[4],"framework,":[5],"conditional":[7,40,176],"entropy":[8,34,41,144,150,177],"rate":[9,35,42,48,61,89,121,151,178,237],"of":[10,36,74,163,174,186],"channel":[12,52,65,69,92,125],"output":[13,143,149],"given":[14],"codebook":[16,82,108,135,200,228],"information":[17,136,201,229],"is":[18,21,43,49,62,94,122,196,222],"investigated.":[19],"It":[20],"shown":[22],"that":[23,86,133,218],"there":[24],"exists":[25],"an":[26],"interesting":[27],"dichotomy:":[28],"with":[29],"respect":[30],"to":[31,84,140,153,223,233],"unconditional":[33],"output,":[38],"this":[39,114,128,213],"reduced":[44],"when":[45,58,118],"communication":[47,60,88,120],"below":[50,90],"capacity,":[53],"but":[54],"remains":[55],"same":[57,156],"above":[63,123],"capacity.":[66,126],"Hence,":[67],"capacity":[70,93],"plays":[71],"a":[72,159,164,192],"role":[73],"critical":[76],"point.":[77],"Shannon":[78],"used":[79,109,139,168,204,232],"argument":[83],"prove":[85],"any":[87],"achievable,":[95],"i.e.,":[96],"destination":[98],"can":[99,202],"successfully":[100],"decode":[101],"transmitted":[103],"codeword":[104],"based":[105],"on":[106,182],"at":[110,169,209,238],"source.":[112,171],"However,":[113],"cannot":[115,137,230],"be":[116,138,154,203,224,231],"done":[117],"In":[127,212],"case,":[129],"our":[130],"evaluation":[131],"shows":[132],"reduce":[141,234],"rate,":[145],"and":[146],"instead,":[147],"turns":[152],"as":[157],"if":[158,219],"completely":[160],"random,":[161],"instead":[162],"specific":[165],"codebook,":[166],"was":[167],"This":[172],"characterization":[173],"sheds":[179],"some":[180],"light":[181],"optimal":[184],"design":[185],"compress-and-forward":[188],"relay":[189],"schemes,":[190],"where":[191],"long":[193],"standing":[194],"question":[195],"whether":[197],"source's":[199],"for":[205],"more":[206],"effective":[207],"compressions":[208],"relay.":[211,240],"paper,":[214],"specifically,":[215],"we":[216],"show":[217],"lossless":[220],"compression":[221,236],"performed,":[225],"then":[226]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}