{"id":"https://openalex.org/W2109826632","doi":"https://doi.org/10.1109/itwitwn.2007.4318057","title":"On the Effects of Pseudo-Codewords on Independent Rayleigh Flat-Fading Channels","display_name":"On the Effects of Pseudo-Codewords on Independent Rayleigh Flat-Fading Channels","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2109826632","doi":"https://doi.org/10.1109/itwitwn.2007.4318057","mag":"2109826632"},"language":"en","primary_location":{"id":"doi:10.1109/itwitwn.2007.4318057","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwitwn.2007.4318057","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","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/A5090738616","display_name":"Eirik Rosnes","orcid":"https://orcid.org/0000-0001-8236-6601"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Eirik Rosnes","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","[Bergen Univ., Bergen]"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"[Bergen Univ., Bergen]","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090738616"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15448051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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":0.9993000030517578,"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/decoding-methods","display_name":"Decoding methods","score":0.6322562098503113},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.5957034230232239},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5022146701812744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4844834506511688},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.482864648103714},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.469475120306015},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4143185615539551},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39829057455062866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3624192178249359},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09556174278259277}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6322562098503113},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.5957034230232239},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5022146701812744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4844834506511688},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.482864648103714},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.469475120306015},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4143185615539551},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39829057455062866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3624192178249359},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09556174278259277}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itwitwn.2007.4318057","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwitwn.2007.4318057","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W152471750","https://openalex.org/W1588943481","https://openalex.org/W1595640491","https://openalex.org/W2028750656","https://openalex.org/W2033546746","https://openalex.org/W2078633872","https://openalex.org/W2095882513","https://openalex.org/W2114364830","https://openalex.org/W2116815462","https://openalex.org/W2121606987","https://openalex.org/W2128765501","https://openalex.org/W2135573812","https://openalex.org/W2135764410","https://openalex.org/W2136204051","https://openalex.org/W2140227657","https://openalex.org/W2169134868","https://openalex.org/W2218205229","https://openalex.org/W2953131282","https://openalex.org/W2962897197","https://openalex.org/W4205661203","https://openalex.org/W4285719527","https://openalex.org/W6606175091","https://openalex.org/W6635197353","https://openalex.org/W6658471458","https://openalex.org/W6670396248","https://openalex.org/W6688622063"],"related_works":["https://openalex.org/W2116044594","https://openalex.org/W2101999641","https://openalex.org/W1503152075","https://openalex.org/W301676527","https://openalex.org/W2052600062","https://openalex.org/W2124541664","https://openalex.org/W289296924","https://openalex.org/W2122920812","https://openalex.org/W2076148615","https://openalex.org/W2942696422"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"consider":[4,66],"the":[5,52,75,86,95,113,134,140,154,166,169,174,178,184,187,193],"pairwise":[6],"error":[7,175],"probability":[8,176],"(PEP)":[9],"of":[10,60,74,88,137,142,165,173,186,196],"a":[11,17,57,61,80,91,162],"linear":[12,20,63],"programming":[13],"(LP)":[14],"decoder":[15,77],"for":[16],"general":[18],"binary":[19,62],"code":[21,64],"as":[22,117],"formulated":[23],"by":[24,183],"Feldman":[25],"et":[26],"al.":[27],"(IEEE":[28],"Trans.":[29],"Inform.":[30],"Theory,":[31],"Mar.":[32],"2005)":[33],"on":[34,70,100],"an":[35,101],"independent":[36,102,164],"(or":[37],"memoryless)":[38],"Rayleigh":[39,103],"flat-fading":[40,104],"channel":[41,47,105],"with":[42,106,177],"coherent":[43,107],"detection":[44,108],"and":[45,65,109,159],"perfect":[46,110],"state":[48],"information":[49],"(CSI)":[50],"at":[51,112],"receiver.":[53],"Let":[54],"H":[55],"be":[56],"parity-check":[58],"matrix":[59],"LP":[67,76],"decoding":[68,89],"based":[69],"H.":[71,197],"The":[72],"output":[73],"is":[78,98,133,153,161,181],"always":[79],"pseudo-codeword.":[81],"We":[82],"will":[83],"show":[84],"that":[85],"PEP":[87],"to":[90],"pseudo-codeword":[92],"omega":[93],"when":[94],"all-zero":[96],"codeword":[97],"transmitted":[99],"CSI":[111],"receiver,":[114],"behaves":[115],"asymptotically":[116],"K(omega)ldr(E":[118],"<sub":[119,123,146,150],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[120,124,128,147,151],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</sub>":[121,148],"/N":[122,149],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">O</sub>":[125,152],")":[126],"<sup":[127],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-chi(omega)</sup>":[129],",":[130],"where":[131],"chi(omega)":[132],"support":[135],"set":[136,141,191],"omega,":[138],"i.e.,":[139],"non-zero":[143],"coordinates,":[144],"E":[145],"average":[155,179],"signal-to-noise":[156],"ratio":[157],"(SNR),":[158],"K(omega)":[160],"constant":[163],"SNR.":[167],"Thus,":[168],"asymptotic":[170],"decay":[171],"rate":[172],"SNR":[180],"determined":[182],"size":[185],"smallest":[188],"non-empty":[189],"stopping":[190],"in":[192],"Tanner":[194],"graph":[195]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}