{"id":"https://openalex.org/W2030845052","doi":"https://doi.org/10.1109/tsp.2014.2333555","title":"Single-Carrier Frequency Domain Equalization for Hammerstein Communication Systems Using Complex-Valued Neural Networks","display_name":"Single-Carrier Frequency Domain Equalization for Hammerstein Communication Systems Using Complex-Valued Neural Networks","publication_year":2014,"publication_date":"2014-07-02","ids":{"openalex":"https://openalex.org/W2030845052","doi":"https://doi.org/10.1109/tsp.2014.2333555","mag":"2030845052"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2014.2333555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2333555","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5100714793","display_name":"Xia Hong","orcid":"https://orcid.org/0000-0002-6832-2298"},"institutions":[{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xia Hong","raw_affiliation_strings":["School of Systems Engineering, University of Reading, Reading, UK","[Sch. of Syst. Eng., Univ. of Reading, Reading, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Systems Engineering, University of Reading, Reading, UK","institution_ids":["https://openalex.org/I71052956"]},{"raw_affiliation_string":"[Sch. of Syst. Eng., Univ. of Reading, Reading, UK]","institution_ids":["https://openalex.org/I71052956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100320969","display_name":"Sheng Chen","orcid":"https://orcid.org/0000-0001-6882-600X"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB","SA"],"is_corresponding":false,"raw_author_name":"Sheng Chen","raw_affiliation_strings":["Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067133312","display_name":"C.J. Harris","orcid":"https://orcid.org/0000-0002-8504-9043"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chris J. Harris","raw_affiliation_strings":["Electronics and Computer Science, University of Southampton, Southampton, UK","Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics and Computer Science, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072720196","display_name":"Emad Khalaf","orcid":"https://orcid.org/0000-0002-3003-8881"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Emad F. Khalaf","raw_affiliation_strings":["Electrical and Computer Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia","Electr. & Comput. Eng. Dept., King Abdulaziz Univ., Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., King Abdulaziz Univ., Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3915,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.83004768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"17","first_page":"4467","last_page":"4478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11248","display_name":"Advanced Power Amplifier Design","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"}},"topics":[{"id":"https://openalex.org/T11248","display_name":"Advanced Power Amplifier Design","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/T12146","display_name":"Power Line Communications and Noise","score":0.9995999932289124,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9994999766349792,"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/nonlinear-system","display_name":"Nonlinear system","score":0.5977216362953186},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5284611582756042},{"id":"https://openalex.org/keywords/nonlinear-distortion","display_name":"Nonlinear distortion","score":0.520569384098053},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5099302530288696},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.5055139064788818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49159106612205505},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47939133644104004},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.47699669003486633},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.44335752725601196},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.41260620951652527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37293553352355957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32875290513038635},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.32747378945350647},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2833826541900635},{"id":"https://openalex.org/keywords/amplifier","display_name":"Amplifier","score":0.26311856508255005},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1964014172554016},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08553916215896606}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5977216362953186},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5284611582756042},{"id":"https://openalex.org/C173413354","wikidata":"https://www.wikidata.org/wiki/Q7049470","display_name":"Nonlinear distortion","level":4,"score":0.520569384098053},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5099302530288696},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.5055139064788818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49159106612205505},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47939133644104004},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.47699669003486633},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.44335752725601196},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.41260620951652527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37293553352355957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32875290513038635},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.32747378945350647},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2833826541900635},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.26311856508255005},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1964014172554016},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08553916215896606},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsp.2014.2333555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2333555","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:centaur.reading.ac.uk:37208","is_oa":false,"landing_page_url":"https://centaur.reading.ac.uk/view/creators/90000432.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402273","display_name":"CentAUR (University of Reading)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71052956","host_organization_name":"University of Reading","host_organization_lineage":["https://openalex.org/I71052956"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:eprints.soton.ac.uk:367925","is_oa":false,"landing_page_url":"http://doi.org/10.1109/TSP.2014.2333555>).","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.485.6390","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.6390","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.ecs.soton.ac.uk/sqc/listP/TSP2014-Sept.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6499999761581421}],"awards":[{"id":"https://openalex.org/G7526003748","display_name":null,"funder_award_id":"5-135-35-HiCi","funder_id":"https://openalex.org/F4320322322","funder_display_name":"King Abdulaziz University"}],"funders":[{"id":"https://openalex.org/F4320322322","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W35322266","https://openalex.org/W107391117","https://openalex.org/W1514652980","https://openalex.org/W1546267511","https://openalex.org/W1939532693","https://openalex.org/W1971620359","https://openalex.org/W1993723734","https://openalex.org/W2009112011","https://openalex.org/W2013850411","https://openalex.org/W2015925977","https://openalex.org/W2016024606","https://openalex.org/W2021075269","https://openalex.org/W2068496111","https://openalex.org/W2071423195","https://openalex.org/W2091261493","https://openalex.org/W2101397645","https://openalex.org/W2102265796","https://openalex.org/W2104627485","https://openalex.org/W2108895115","https://openalex.org/W2115087361","https://openalex.org/W2130431252","https://openalex.org/W2131909533","https://openalex.org/W2133402344","https://openalex.org/W2135252476","https://openalex.org/W2137218219","https://openalex.org/W2138020668","https://openalex.org/W2145769722","https://openalex.org/W2158556621","https://openalex.org/W2162870748","https://openalex.org/W2163982637","https://openalex.org/W2171395034","https://openalex.org/W2485002209","https://openalex.org/W2492322411","https://openalex.org/W2536051474"],"related_works":["https://openalex.org/W2355663289","https://openalex.org/W2792339401","https://openalex.org/W2530747331","https://openalex.org/W2106913410","https://openalex.org/W2007026331","https://openalex.org/W2031556334","https://openalex.org/W2021221053","https://openalex.org/W2769746575","https://openalex.org/W1531995435","https://openalex.org/W2181530349"],"abstract_inverted_index":{"Single-carrier":[0],"(SC)":[1],"block":[2],"transmission":[3,11],"with":[4],"frequency-domain":[5],"equalization":[6,203],"(FDE)":[7],"offers":[8],"a":[9,74,102,180],"viable":[10],"technology":[12],"for":[13,30,82,116,236],"combating":[14],"the":[15,36,43,48,53,64,88,93,98,118,121,126,132,135,149,152,156,168,174,184,190,199,205,211,219,229],"adverse":[16],"effects":[17,51],"of":[18,52,97,120,134,151,158,183,189,231],"long":[19],"dispersive":[20],"channels":[21],"encountered":[22],"in":[23,204,218],"high-rate":[24],"broadband":[25],"wireless":[26],"communication":[27],"systems.":[28],"However,":[29],"high-bandwidth":[31],"efficiency":[32],"and":[33,107,131,155],"high-power-efficiency":[34],"systems,":[35],"channel":[37,127,186,193],"can":[38,163,194],"generally":[39],"be":[40,165,196],"modeled":[41],"by":[42,101,198],"Hammerstein":[44,62,83,99,122,185,192,237],"system,":[45],"which":[46,91],"includes":[47],"nonlinear":[49,61,79,89,153,233],"distortion":[50],"high-power":[54],"amplifier":[55],"(HPA)":[56],"at":[57],"transmitter.":[58],"For":[59],"such":[60],"channels,":[63],"standard":[65,169],"SC-FDE":[66,80,234],"scheme":[67,81,235],"no":[68],"longer":[69],"works.":[70],"This":[71],"paper":[72],"advocates":[73],"complex-valued":[75],"(CV)":[76],"B-spline":[77,104,137,144,161,213],"neural-network-based":[78],"channels.":[84,238],"Specifically,":[85],"we":[86,108],"model":[87,148,162,216],"HPA,":[90,154],"represents":[92],"CV":[94,103,136,143],"static":[95],"nonlinearity":[96],"channel,":[100,123],"neural":[105,145,214],"network,":[106],"develop":[109],"two":[110],"efficient":[111],"alternating":[112],"least":[113],"squares":[114],"schemes":[115],"estimating":[117],"parameters":[119,133,157],"including":[124],"both":[125],"impulse":[128],"response":[129],"coefficients":[130],"model.":[138],"We":[139],"also":[140],"use":[141],"another":[142],"network":[146,215],"to":[147,227],"inversion":[150],"this":[159],"inverting":[160],"easily":[164],"estimated":[166],"using":[167],"least-squares":[170],"algorithm":[171],"based":[172],"on":[173],"pseudo":[175],"training":[176],"data":[177],"obtained":[178,217],"as":[179,208,210],"natural":[181],"byproduct":[182],"identification.":[187],"Equalization":[188],"SC":[191],"then":[195],"accomplished":[197],"usual":[200],"one-tap":[201],"linear":[202],"frequency":[206],"domain":[207],"well":[209],"inverse":[212],"time":[220],"domain.":[221],"Extensive":[222],"simulation":[223],"results":[224],"are":[225],"included":[226],"demonstrate":[228],"effectiveness":[230],"our":[232]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-10T07:06:39.071514","created_date":"2025-10-10T00:00:00"}