{"id":"https://openalex.org/W2499413202","doi":"https://doi.org/10.1109/lcomm.2016.2598345","title":"On the Configuration-Dependent Singularity of GFDM Pulse-Shaping Filter Banks","display_name":"On the Configuration-Dependent Singularity of GFDM Pulse-Shaping Filter Banks","publication_year":2016,"publication_date":"2016-08-04","ids":{"openalex":"https://openalex.org/W2499413202","doi":"https://doi.org/10.1109/lcomm.2016.2598345","mag":"2499413202"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2016.2598345","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2016.2598345","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","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/A5017183733","display_name":"David W. Lin","orcid":"https://orcid.org/0000-0003-2012-7861"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"David W. Lin","raw_affiliation_strings":["Department of Electronics Engineering and the Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-2012-7861","affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering and the Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055580577","display_name":"Po-Sen Wang","orcid":"https://orcid.org/0000-0002-3199-2490"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Po-Sen Wang","raw_affiliation_strings":["Department of Electronics Engineering and the Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering and the Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1161,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80591174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"20","issue":"10","first_page":"1975","last_page":"1978"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","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/T11873","display_name":"PAPR reduction in OFDM","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/T10232","display_name":"Optical Network Technologies","score":0.9466999769210815,"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/pulse-shaping","display_name":"Pulse shaping","score":0.7006003856658936},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6018168330192566},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.5961881875991821},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5052490830421448},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.44179412722587585},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.422385036945343},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.4101823568344116},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40709811449050903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4030892550945282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40239188075065613},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3947722911834717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3496023416519165},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.305105596780777},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2818024754524231},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16870203614234924},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.1457689106464386},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08528751134872437},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08340421319007874},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07399621605873108}],"concepts":[{"id":"https://openalex.org/C102755159","wikidata":"https://www.wikidata.org/wiki/Q7259683","display_name":"Pulse shaping","level":3,"score":0.7006003856658936},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6018168330192566},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.5961881875991821},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5052490830421448},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.44179412722587585},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.422385036945343},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.4101823568344116},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40709811449050903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4030892550945282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40239188075065613},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3947722911834717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3496023416519165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.305105596780777},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2818024754524231},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16870203614234924},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.1457689106464386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08528751134872437},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08340421319007874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07399621605873108},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2016.2598345","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2016.2598345","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","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":10,"referenced_works":["https://openalex.org/W1874138541","https://openalex.org/W1988354761","https://openalex.org/W2000006997","https://openalex.org/W2015348389","https://openalex.org/W2077145024","https://openalex.org/W2113784761","https://openalex.org/W2114338864","https://openalex.org/W2132105090","https://openalex.org/W2273903838","https://openalex.org/W4206196235"],"related_works":["https://openalex.org/W2351083540","https://openalex.org/W2953854768","https://openalex.org/W2389690162","https://openalex.org/W2039467239","https://openalex.org/W4231686530","https://openalex.org/W2951287487","https://openalex.org/W1570309050","https://openalex.org/W2060497234","https://openalex.org/W3185647786","https://openalex.org/W2035968624"],"abstract_inverted_index":{"It":[0],"is":[1,14,67,86],"known":[2],"that,":[3,72],"under":[4],"some":[5,50,74],"configurations,":[6],"the":[7,37,43,61,64,78,81,89,95,113],"generalized":[8],"frequency-division":[9],"multiplexing":[10],"(GFDM)":[11],"pulse-shaper":[12,19,39,65,82],"matrix":[13,20,40,66],"singular.":[15],"Moreover,":[16],"a":[17,33],"GFDM":[18,38,45,101],"may":[21],"have":[22],"unequal":[23],"magnitude":[24],"gains":[25],"in":[26,112],"different":[27],"vector-space":[28],"dimensions.":[29],"This":[30],"letter":[31],"presents":[32],"Fourier-transform-based":[34],"decomposition":[35],"of":[36,63,80],"from":[41],"which":[42],"above":[44],"properties,":[46],"as":[47,49],"well":[48],"other":[51],"ones,":[52],"can":[53,103],"be":[54,104],"readily":[55],"appreciated.":[56],"An":[57],"upper":[58],"bound":[59],"on":[60],"nullity":[62,79],"obtained.":[68],"We":[69],"also":[70,93],"show":[71],"for":[73],"commonly":[75],"conceivable":[76],"designs,":[77],"matrix,":[83],"if":[84],"singular,":[85],"one.":[87],"In":[88],"latter":[90],"case,":[91],"we":[92],"specify":[94],"corresponding":[96],"null":[97,114],"space.":[98,115],"From":[99],"this,":[100],"signals":[102],"designed,":[105],"so":[106],"that":[107],"they":[108],"do":[109],"not":[110],"fall":[111]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}