{"id":"https://openalex.org/W2151718025","doi":"https://doi.org/10.1109/tsp.2010.2063426","title":"Low Complexity Equalization for Doubly Selective Channels Modeled by a Basis Expansion","display_name":"Low Complexity Equalization for Doubly Selective Channels Modeled by a Basis Expansion","publication_year":2010,"publication_date":"2010-08-10","ids":{"openalex":"https://openalex.org/W2151718025","doi":"https://doi.org/10.1109/tsp.2010.2063426","mag":"2151718025"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2063426","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2063426","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/A5050615613","display_name":"Tomasz Hrycak","orcid":"https://orcid.org/0000-0003-4352-830X"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Tomasz Hrycak","raw_affiliation_strings":["Faculty of Mathematics, University of Technology, Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Technology, Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074019305","display_name":"Saptarshi Das","orcid":"https://orcid.org/0000-0002-8394-5303"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Saptarshi Das","raw_affiliation_strings":["Faculty of Mathematics, University of Technology, Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Technology, Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012959491","display_name":"Gerald Matz","orcid":"https://orcid.org/0000-0003-1784-806X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerald Matz","raw_affiliation_strings":["Institut f\u00fcr Nachrichtentechnik und Hochfrequenztechnik, University of Technology, Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Nachrichtentechnik und Hochfrequenztechnik, University of Technology, Vienna, Vienna, Austria","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016044961","display_name":"Hans G. Feichtinger","orcid":"https://orcid.org/0000-0002-9927-0742"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Hans G. Feichtinger","raw_affiliation_strings":["Faculty of Mathematics, University of Technology, Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Technology, Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050615613"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":5.1955,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.95781358,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"58","issue":"11","first_page":"5706","last_page":"5719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication 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"}},"topics":[{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication 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/T11248","display_name":"Advanced Power Amplifier Design","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/T11873","display_name":"PAPR reduction in OFDM","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"}}],"keywords":[{"id":"https://openalex.org/keywords/cyclic-prefix","display_name":"Cyclic prefix","score":0.8656551241874695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5624253153800964},{"id":"https://openalex.org/keywords/equalization","display_name":"Equalization (audio)","score":0.5524317026138306},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.500452995300293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4941451847553253},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44026127457618713},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.428437739610672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40280452370643616},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.38990309834480286},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2907353937625885},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17591309547424316},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.08117347955703735}],"concepts":[{"id":"https://openalex.org/C2778775284","wikidata":"https://www.wikidata.org/wiki/Q5198224","display_name":"Cyclic prefix","level":4,"score":0.8656551241874695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5624253153800964},{"id":"https://openalex.org/C75755367","wikidata":"https://www.wikidata.org/wiki/Q104531076","display_name":"Equalization (audio)","level":3,"score":0.5524317026138306},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.500452995300293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4941451847553253},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44026127457618713},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.428437739610672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40280452370643616},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.38990309834480286},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2907353937625885},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17591309547424316},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.08117347955703735},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2010.2063426","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2063426","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1487530346","https://openalex.org/W1506342804","https://openalex.org/W1587218653","https://openalex.org/W1592476853","https://openalex.org/W1979300259","https://openalex.org/W1981745143","https://openalex.org/W1995028091","https://openalex.org/W2010315317","https://openalex.org/W2019787708","https://openalex.org/W2053318261","https://openalex.org/W2072575400","https://openalex.org/W2097897435","https://openalex.org/W2100272909","https://openalex.org/W2101471922","https://openalex.org/W2102800524","https://openalex.org/W2103444601","https://openalex.org/W2109155033","https://openalex.org/W2112600986","https://openalex.org/W2113471222","https://openalex.org/W2119531925","https://openalex.org/W2127295999","https://openalex.org/W2127841178","https://openalex.org/W2130141076","https://openalex.org/W2138824526","https://openalex.org/W2140153041","https://openalex.org/W2141281855","https://openalex.org/W2142947498","https://openalex.org/W2143400303","https://openalex.org/W2145865841","https://openalex.org/W2151421989","https://openalex.org/W2151734269","https://openalex.org/W2151948222","https://openalex.org/W2157667501","https://openalex.org/W2166321009","https://openalex.org/W2166535004","https://openalex.org/W2167800361","https://openalex.org/W2168678583","https://openalex.org/W2536595269","https://openalex.org/W6635561973","https://openalex.org/W6675258793"],"related_works":["https://openalex.org/W2163986192","https://openalex.org/W2169555090","https://openalex.org/W2143281946","https://openalex.org/W2564136926","https://openalex.org/W2109072943","https://openalex.org/W2355672245","https://openalex.org/W2792561661","https://openalex.org/W2124096513","https://openalex.org/W1569011150","https://openalex.org/W2159845229"],"abstract_inverted_index":{"We":[0,22,75,161],"propose":[1],"a":[2,25,32,47,54,62,73,77,81,159,169,202],"novel":[3],"equalization":[4],"method":[5,110,164],"for":[6],"doubly":[7],"selective":[8],"wireless":[9,229],"channels,":[10],"whose":[11],"taps":[12],"are":[13,214],"represented":[14,52],"by":[15,88,153,201],"an":[16,117,199],"arbitrary":[17],"Basis":[18],"Expansion":[19],"Model":[20],"(BEM).":[21],"view":[23],"such":[24],"channel":[26,49,70,86,107],"in":[27,174,205],"the":[28,39,43,69,85,91,94,99,106,155,206,211,228],"time":[29],"domain":[30],"as":[31,53,158],"sum":[33,55],"of":[34,56,80,90,125,148,168,190],"product-convolution":[35,59,100],"operators":[36],"created":[37],"from":[38],"basis":[40],"functions":[41],"and":[42,93,137,151,179,193],"BEM":[44],"coefficients.":[45],"Equivalently,":[46],"frequency-domain":[48],"can":[50],"be":[51],"convolution-products.":[57],"The":[58,182],"representation":[60],"provides":[61],"low-complexity,":[63],"memory":[64],"efficient":[65],"way":[66],"to":[67,72,112,188],"apply":[68],"matrix":[71,87,204],"vector.":[74],"compute":[76],"regularized":[78],"solution":[79],"linear":[82],"system":[83,171],"involving":[84],"means":[89],"GMRES":[92,126,150],"LSQR":[95,128,152],"algorithms,":[96],"which":[97],"utilize":[98],"structure":[101],"without":[102],"ever":[103],"explicitly":[104],"creating":[105],"matrix.":[108],"Our":[109,219],"applies":[111],"all":[113],"cyclic-prefix":[114],"transmissions.":[115],"In":[116],"OFDM":[118],"transmission":[119],"with":[120,165,176],"K":[121],"subcarriers,":[122],"each":[123],"iteration":[124],"or":[127],"requires":[129],"only":[130],"<i":[131,138],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[132,139],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">O</i>":[133,140],"(K":[134],"K)":[135],"flops":[136],"(K)":[141],"memory.":[142],"Additionally,":[143],"we":[144],"further":[145],"accelerate":[146],"convergence":[147],"both":[149],"using":[154,198],"single-tap":[156],"equalizer":[157,184],"preconditioner.":[160],"validate":[162],"our":[163],"numerical":[166],"simulations":[167],"WiMAX-like":[170],"(IEEE":[172],"802.16e)":[173],"channels":[175],"significant":[177],"delay":[178],"Doppler":[180],"spreads.":[181],"proposed":[183],"achieves":[185],"BERs":[186,213],"comparable":[187],"those":[189],"MMSE":[191],"equalization,":[192],"noticeably":[194],"outperforms":[195],"low-complexity":[196],"equalizers":[197],"approximation":[200],"banded":[203],"frequency":[207],"domain.":[208],"With":[209],"preconditioning,":[210],"lowest":[212],"obtained":[215],"within":[216],"3-16":[217],"iterations.":[218],"approach":[220],"does":[221],"not":[222],"use":[223],"any":[224],"statistical":[225],"information":[226],"about":[227],"channel.":[230]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}