{"id":"https://openalex.org/W4405517416","doi":"https://doi.org/10.1109/tcomm.2024.3519521","title":"Chirp Parameter Selection for Affine Frequency Division Multiplexing With MMSE Equalization","display_name":"Chirp Parameter Selection for Affine Frequency Division Multiplexing With MMSE Equalization","publication_year":2024,"publication_date":"2024-12-18","ids":{"openalex":"https://openalex.org/W4405517416","doi":"https://doi.org/10.1109/tcomm.2024.3519521"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2024.3519521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2024.3519521","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"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 Transactions on 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/A5063294017","display_name":"Z. Li","orcid":"https://orcid.org/0009-0006-4846-4383"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zunqi Li","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0009-0006-4846-4383","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Chuanbin Zhang","orcid":"https://orcid.org/0009-0009-3814-8282"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanbin Zhang","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0009-0009-3814-8282","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049566038","display_name":"Ge Song","orcid":"https://orcid.org/0000-0003-4711-2758"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I95946905","display_name":"Hebei GEO University","ror":"https://ror.org/013x4kb81","country_code":"CN","type":"education","lineage":["https://openalex.org/I95946905"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ge Song","raw_affiliation_strings":["National Key Laboratory of Advanced Communication Networks, Shijiazhuang, China","School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0003-4711-2758","affiliations":[{"raw_affiliation_string":"National Key Laboratory of Advanced Communication Networks, Shijiazhuang, China","institution_ids":["https://openalex.org/I95946905"]},{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060865895","display_name":"Xiaojie Fang","orcid":"https://orcid.org/0000-0003-3337-2241"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojie Fang","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0003-3337-2241","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083179738","display_name":"Xuejun Sha","orcid":"https://orcid.org/0000-0002-6204-0839"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I95946905","display_name":"Hebei GEO University","ror":"https://ror.org/013x4kb81","country_code":"CN","type":"education","lineage":["https://openalex.org/I95946905"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuejun Sha","raw_affiliation_strings":["National Key Laboratory of Advanced Communication Networks, Shijiazhuang, China","School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-6204-0839","affiliations":[{"raw_affiliation_string":"National Key Laboratory of Advanced Communication Networks, Shijiazhuang, China","institution_ids":["https://openalex.org/I95946905"]},{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014663629","display_name":"Dirk Slock","orcid":"https://orcid.org/0000-0003-4116-563X"},"institutions":[{"id":"https://openalex.org/I1902872","display_name":"EURECOM","ror":"https://ror.org/00sse7z02","country_code":"FR","type":"education","lineage":["https://openalex.org/I1902872","https://openalex.org/I205703379"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dirk T. M. Slock","raw_affiliation_strings":["Department of Communication Systems, EURECOM, Biot, France"],"raw_orcid":"https://orcid.org/0000-0003-4116-563X","affiliations":[{"raw_affiliation_string":"Department of Communication Systems, EURECOM, Biot, France","institution_ids":["https://openalex.org/I1902872"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.0308,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.98659152,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"73","issue":"7","first_page":"5079","last_page":"5093"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":0.9699000120162964,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9699000120162964,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9696999788284302,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9627000093460083,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/equalization","display_name":"Equalization (audio)","score":0.6525149941444397},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5950950384140015},{"id":"https://openalex.org/keywords/chirp","display_name":"Chirp","score":0.5702628493309021},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.5291348695755005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.509385883808136},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.49851441383361816},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.494704931974411},{"id":"https://openalex.org/keywords/frequency-division-multiplexing","display_name":"Frequency-division multiplexing","score":0.4663696885108948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44153568148612976},{"id":"https://openalex.org/keywords/time-division-multiplexing","display_name":"Time-division multiplexing","score":0.4160473942756653},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4126223921775818},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3539718985557556},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3513604402542114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34022805094718933},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21306711435317993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1505068838596344},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.14436018466949463},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09482157230377197},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09122094511985779}],"concepts":[{"id":"https://openalex.org/C75755367","wikidata":"https://www.wikidata.org/wiki/Q104531076","display_name":"Equalization (audio)","level":3,"score":0.6525149941444397},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5950950384140015},{"id":"https://openalex.org/C132794960","wikidata":"https://www.wikidata.org/wiki/Q27304","display_name":"Chirp","level":3,"score":0.5702628493309021},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.5291348695755005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.509385883808136},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.49851441383361816},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.494704931974411},{"id":"https://openalex.org/C89061704","wikidata":"https://www.wikidata.org/wiki/Q5555726","display_name":"Frequency-division multiplexing","level":4,"score":0.4663696885108948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44153568148612976},{"id":"https://openalex.org/C50661577","wikidata":"https://www.wikidata.org/wiki/Q901831","display_name":"Time-division multiplexing","level":3,"score":0.4160473942756653},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4126223921775818},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3539718985557556},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3513604402542114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34022805094718933},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21306711435317993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1505068838596344},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.14436018466949463},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09482157230377197},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09122094511985779},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","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":2,"locations":[{"id":"doi:10.1109/tcomm.2024.3519521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2024.3519521","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"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 Transactions on Communications","raw_type":"journal-article"},{"id":"pmh:oai:fr.eurecom:8017","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196942","display_name":"Graduate School and Research Center in Digital Science (EURECOM)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1902872","host_organization_name":"EURECOM","host_organization_lineage":["https://openalex.org/I1902872"],"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 Communications, 18 December 2024","raw_type":"Journal"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1284089183","display_name":null,"funder_award_id":"YQ2021F003","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G2070595022","display_name":null,"funder_award_id":"2022YFB2902404","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4008410620","display_name":null,"funder_award_id":"U23A20278","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6354189202","display_name":null,"funder_award_id":"62171151","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W595252221","https://openalex.org/W2028717679","https://openalex.org/W2082819064","https://openalex.org/W2085935182","https://openalex.org/W2108710836","https://openalex.org/W2113165941","https://openalex.org/W2119531925","https://openalex.org/W2124300121","https://openalex.org/W2131438364","https://openalex.org/W2138824526","https://openalex.org/W2169103119","https://openalex.org/W2170411504","https://openalex.org/W2899406779","https://openalex.org/W2908111164","https://openalex.org/W2942993434","https://openalex.org/W2962730745","https://openalex.org/W2963030992","https://openalex.org/W2964005248","https://openalex.org/W2978825329","https://openalex.org/W2991325612","https://openalex.org/W3043857140","https://openalex.org/W3122647631","https://openalex.org/W3153252929","https://openalex.org/W3200797369","https://openalex.org/W4226530007","https://openalex.org/W4301621763","https://openalex.org/W4361853646","https://openalex.org/W4383605050","https://openalex.org/W4392175510","https://openalex.org/W4393028492","https://openalex.org/W4396877727","https://openalex.org/W4399416239"],"related_works":["https://openalex.org/W431360389","https://openalex.org/W1989617274","https://openalex.org/W2003701703","https://openalex.org/W4226230195","https://openalex.org/W1998182654","https://openalex.org/W2092309091","https://openalex.org/W1594984840","https://openalex.org/W43516829","https://openalex.org/W2009574894","https://openalex.org/W2284861921"],"abstract_inverted_index":{"Affine":[0],"Frequency":[1],"Division":[2],"Multiplexing":[3],"(AFDM)":[4],"is":[5],"a":[6,83,139],"chirp-transform":[7],"modulation":[8],"technique":[9],"that":[10,31],"has":[11,62],"shown":[12],"reliable":[13],"performance":[14,41,52,77,105,186],"in":[15,42,67,158],"high-mobility":[16],"scenarios,":[17],"making":[18],"it":[19],"an":[20],"attractive":[21],"option":[22],"for":[23,86,119],"next":[24],"generation":[25],"communication":[26],"systems.":[27],"Recent":[28],"literature":[29],"suggests":[30],"under":[32],"chirp":[33,102,115,164],"parameter":[34,116,165,179],"adjustment,":[35],"AFDM":[36,54,79,95],"can":[37],"achieve":[38],"optimal":[39],"diversity":[40],"delay-doppler":[43],"channels":[44],"with":[45,55,80],"maximum":[46],"likelihood":[47],"(ML)":[48],"detection.":[49],"However,":[50],"the":[51,68,76,87,94,99,130,155,169,174,183,189],"of":[53,78,93,132,176],"minimum":[56],"mean":[57],"square":[58],"error":[59,90],"equalization":[60],"(MMSE-Eq)":[61],"not":[63],"been":[64],"extensively":[65],"investigated":[66],"existing":[69,159],"literature.":[70],"In":[71],"this":[72],"paper,":[73],"we":[74,111,137],"analyze":[75],"MMSE-Eq,":[81],"derive":[82],"lower":[84],"bound":[85],"theoretical":[88],"bit":[89],"rate":[91],"(BER)":[92],"system,":[96],"and":[97,104,122,141,182],"discuss":[98],"relationship":[100],"between":[101],"parameters":[103],"degradation.":[106],"To":[107],"optimize":[108],"BER":[109,185],"performance,":[110],"propose":[112,138],"two":[113],"distinct":[114],"selection":[117,180],"strategies":[118,128,181],"frequency":[120],"selective":[121,124],"doubly":[123],"channels,":[125],"respectively.":[126],"These":[127],"offer":[129],"advantage":[131],"avoiding":[133],"extensive":[134],"computations.":[135],"Additionally,":[136],"low-complexity":[140,160],"high-performance":[142],"iterative":[143,190],"MMSE-Eq":[144,191],"algorithm":[145,153],"based":[146],"on":[147],"time-domain":[148],"channel":[149],"matrix":[150],"operations.":[151],"The":[152],"resolves":[154],"issue":[156],"encountered":[157],"methods,":[161],"where":[162],"different":[163],"selections":[166],"significantly":[167],"impact":[168],"complexity.":[170],"Simulation":[171],"results":[172],"demonstrate":[173],"efficacy":[175],"our":[177],"proposed":[178],"outstanding":[184],"achieved":[187],"by":[188],"algorithm.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":7}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}