{"id":"https://openalex.org/W2515183934","doi":"https://doi.org/10.1109/twc.2016.2606401","title":"Amplify-and-Forward Relay Networks With Variable-Length Limited Feedback","display_name":"Amplify-and-Forward Relay Networks With Variable-Length Limited Feedback","publication_year":2016,"publication_date":"2016-09-07","ids":{"openalex":"https://openalex.org/W2515183934","doi":"https://doi.org/10.1109/twc.2016.2606401","mag":"2515183934"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2016.2606401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2016.2606401","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Transactions on Wireless Communications","raw_type":"journal-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/A5100667626","display_name":"Xiaoyi Liu","orcid":"https://orcid.org/0000-0001-7412-8080"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaoyi Liu","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089039918","display_name":"Hamid Jafarkhani","orcid":"https://orcid.org/0000-0001-6838-8038"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamid Jafarkhani","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046275838","display_name":"Erdem Koyuncu","orcid":"https://orcid.org/0000-0002-6238-0470"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erdem Koyuncu","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","Department of Electrical and Computer Engineering, University of Illinois, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100667626"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":0.5906,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73179439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"11","first_page":"7725","last_page":"7737"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","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/T10796","display_name":"Cooperative Communication and Network Coding","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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9991999864578247,"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":0.9991000294685364,"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":0.9471033811569214},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.8061820268630981},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.6490824222564697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6180102825164795},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.5838506817817688},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.580616295337677},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.49630123376846313},{"id":"https://openalex.org/keywords/outage-probability","display_name":"Outage probability","score":0.47732430696487427},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4652807116508484},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.43537139892578125},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4322258234024048},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.42208653688430786},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.42095476388931274},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4066709876060486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3646383583545685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33450812101364136},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3038407564163208},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.2607654333114624},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2355446219444275},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.19231468439102173},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0957583487033844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08483830094337463}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.9471033811569214},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8061820268630981},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.6490824222564697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6180102825164795},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5838506817817688},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.580616295337677},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.49630123376846313},{"id":"https://openalex.org/C2778258436","wikidata":"https://www.wikidata.org/wiki/Q30672262","display_name":"Outage probability","level":4,"score":0.47732430696487427},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4652807116508484},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.43537139892578125},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4322258234024048},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.42208653688430786},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42095476388931274},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4066709876060486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3646383583545685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33450812101364136},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3038407564163208},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.2607654333114624},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2355446219444275},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.19231468439102173},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0957583487033844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08483830094337463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/twc.2016.2606401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2016.2606401","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Transactions on Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt80p2509n","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/80p2509n","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Wireless Communications, vol 15, iss 11","raw_type":"article"},{"id":"pmh:qt80p2509n","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/80p2509n","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Liu, X; Jafarkhani, H; &amp; Koyuncu, E. (2016). Amplify-and-Forward Relay Networks With Variable-Length Limited Feedback. IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 15(11), 7725 - 7737. doi: 10.1109/TWC.2016.2606401. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/80p2509n","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2784120240","display_name":null,"funder_award_id":"CCF-1218771","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1972485395","https://openalex.org/W1972624702","https://openalex.org/W1979178133","https://openalex.org/W1985513148","https://openalex.org/W1987613950","https://openalex.org/W2031443728","https://openalex.org/W2031511599","https://openalex.org/W2048057186","https://openalex.org/W2074863717","https://openalex.org/W2099238939","https://openalex.org/W2102659255","https://openalex.org/W2103366363","https://openalex.org/W2120898255","https://openalex.org/W2121776532","https://openalex.org/W2129301207","https://openalex.org/W2130521103","https://openalex.org/W2152121970","https://openalex.org/W2321124713"],"related_works":["https://openalex.org/W2117054468","https://openalex.org/W1965566556","https://openalex.org/W2127424141","https://openalex.org/W2595297530","https://openalex.org/W2041256871","https://openalex.org/W2110879650","https://openalex.org/W2787091472","https://openalex.org/W2119435011","https://openalex.org/W2167424239","https://openalex.org/W2045420852"],"abstract_inverted_index":{"We":[0,62,77],"study":[1],"the":[2,21,38,44,50,71,87,92],"channel":[3,58],"quantization":[4],"problem":[5],"for":[6,70],"amplify-and-forward":[7],"(AF)":[8],"relay":[9,52],"networks":[10,53],"and":[11,73,81],"our":[12],"target":[13],"is":[14,25],"to":[15,19,56,84],"design":[16],"a":[17,33],"quantizer":[18,31],"minimize":[20],"outage":[22,41,94],"probability.":[23],"It":[24],"priorly":[26],"known":[27],"that":[28,86],"any":[29],"fixed-length":[30],"with":[32,66,96],"finite-cardinality":[34],"codebook":[35],"cannot":[36],"attain":[37],"same":[39],"minimum":[40],"probability":[42],"as":[43],"case":[45],"where":[46],"all":[47],"nodes":[48],"in":[49],"AF":[51],"have":[54],"access":[55],"perfect":[57],"state":[59],"information":[60],"(CSI).":[61],"propose":[63],"variable-length":[64],"quantizers":[65,89],"random":[67],"infinite-cardinality":[68],"codebooks":[69],"sum":[72],"individual":[74],"power":[75],"constraints.":[76],"provide":[78],"theoretical":[79],"proofs":[80],"numerical":[82],"simulations":[83],"validate":[85],"proposed":[88],"can":[90],"achieve":[91],"full-CSI":[93],"probabilities":[95],"finite":[97],"average":[98],"feedback":[99],"rates.":[100]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
