{"id":"https://openalex.org/W4410359145","doi":"https://doi.org/10.1109/tit.2025.3570212","title":"Generalized Arlery-Tan-Rabaste-Levenshtein Lower Bounds on Ambiguity Function and Their Asymptotic Achievability","display_name":"Generalized Arlery-Tan-Rabaste-Levenshtein Lower Bounds on Ambiguity Function and Their Asymptotic Achievability","publication_year":2025,"publication_date":"2025-05-14","ids":{"openalex":"https://openalex.org/W4410359145","doi":"https://doi.org/10.1109/tit.2025.3570212"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3570212","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3570212","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5108994865","display_name":"Lingsheng Meng","orcid":"https://orcid.org/0009-0005-5271-3744"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lingsheng Meng","raw_affiliation_strings":["School of Electrical and Electronics Engineering and the Continental-NTU Corporate Laboratory, Nanyang Technological University, Nanyang Ave, Singapore","School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0009-0005-5271-3744","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering and the Continental-NTU Corporate Laboratory, Nanyang Technological University, Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763983","display_name":"Yong Liang Guan","orcid":"https://orcid.org/0000-0002-9757-630X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yong Liang Guan","raw_affiliation_strings":["School of Electrical and Electronics Engineering and the Continental-NTU Corporate Laboratory, Nanyang Technological University, Nanyang Ave, Singapore","School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-9757-630X","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronics Engineering and the Continental-NTU Corporate Laboratory, Nanyang Technological University, Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronics Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101940772","display_name":"Yao Ge","orcid":"https://orcid.org/0000-0002-3293-2051"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yao Ge","raw_affiliation_strings":["Continental-NTU Corporate Laboratory, Nanyang Technological University, Nanyang Ave, Singapore","Continental-NTU Corporate Lab, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-3293-2051","affiliations":[{"raw_affiliation_string":"Continental-NTU Corporate Laboratory, Nanyang Technological University, Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Continental-NTU Corporate Lab, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100629531","display_name":"Zilong Liu","orcid":"https://orcid.org/0000-0002-5851-4261"},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"education","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zilong Liu","raw_affiliation_strings":["School of Computer Science and Electronics Engineering, University of Essex, Colchester, U.K","School of Computer Science and Electronics Engineering, University of Essex, Colchester, UK"],"raw_orcid":"https://orcid.org/0000-0002-5851-4261","affiliations":[{"raw_affiliation_string":"School of Computer Science and Electronics Engineering, University of Essex, Colchester, U.K","institution_ids":["https://openalex.org/I110002522"]},{"raw_affiliation_string":"School of Computer Science and Electronics Engineering, University of Essex, Colchester, UK","institution_ids":["https://openalex.org/I110002522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101880047","display_name":"Pingzhi Fan","orcid":"https://orcid.org/0000-0002-8281-6251"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingzhi Fan","raw_affiliation_strings":["Key Laboratory of Information Coding and Transmission of Sichuan Province, CSNMT International Cooperation Research Centre (MoST), Southwest Jiaotong University, Chengdu, China","CSNMT International Cooperation Research Centre (MoST), Key Laboratory of Information Coding and Transmission of Sichuan Province, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-8281-6251","affiliations":[{"raw_affiliation_string":"Key Laboratory of Information Coding and Transmission of Sichuan Province, CSNMT International Cooperation Research Centre (MoST), Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"CSNMT International Cooperation Research Centre (MoST), Key Laboratory of Information Coding and Transmission of Sichuan Province, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.8432,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.9917827,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"71","issue":"7","first_page":"5744","last_page":"5754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ambiguity-function","display_name":"Ambiguity function","score":0.5771218538284302},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49133697152137756},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.4835062325000763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4624384343624115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4257066547870636},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3857860863208771},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3613073229789734},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35977703332901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3395576775074005},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32420259714126587},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18445110321044922},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.10768583416938782}],"concepts":[{"id":"https://openalex.org/C50878840","wikidata":"https://www.wikidata.org/wiki/Q3206297","display_name":"Ambiguity function","level":4,"score":0.5771218538284302},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49133697152137756},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.4835062325000763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4624384343624115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4257066547870636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3857860863208771},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3613073229789734},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35977703332901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3395576775074005},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32420259714126587},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18445110321044922},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.10768583416938782},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2025.3570212","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3570212","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/217932","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/217932","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1315233301","display_name":null,"funder_award_id":"U23A20274","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2437395274","display_name":null,"funder_award_id":"EP/Y000986/1 (\u201cSORT\u201d)","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8610789775","display_name":null,"funder_award_id":"EP/Y037243/1 (\u201cREVOL6G\u201d)","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8778108802","display_name":null,"funder_award_id":"EP/X035352/1 (\u201cDRIVE\u201d)","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W2006296282","https://openalex.org/W2018564966","https://openalex.org/W2043684839","https://openalex.org/W2063544430","https://openalex.org/W2066063693","https://openalex.org/W2072631149","https://openalex.org/W2100018340","https://openalex.org/W2138548210","https://openalex.org/W2138706041","https://openalex.org/W2158790829","https://openalex.org/W2412591190","https://openalex.org/W2560387686","https://openalex.org/W2576929743","https://openalex.org/W2611118235","https://openalex.org/W2768028442","https://openalex.org/W2806649827","https://openalex.org/W2953789273","https://openalex.org/W2963499798","https://openalex.org/W2964005248","https://openalex.org/W2964049500","https://openalex.org/W2967138144","https://openalex.org/W3126224922","https://openalex.org/W3195036308","https://openalex.org/W4214899394","https://openalex.org/W4285174502","https://openalex.org/W4296916455","https://openalex.org/W4313291341","https://openalex.org/W4322576964","https://openalex.org/W4408399475"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2353179089","https://openalex.org/W2923538289","https://openalex.org/W2353125546","https://openalex.org/W2470643824","https://openalex.org/W4400595174","https://openalex.org/W2349635380","https://openalex.org/W4353089801","https://openalex.org/W2353819554","https://openalex.org/W2359488321"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"generalized":[3],"Arlery-Tan-Rabaste-Levenshtein":[4],"lower":[5,34,70],"bounds":[6,35,71],"on":[7,36],"the":[8,31,37,41,54],"maximum":[9,83],"aperiodic":[10],"ambiguity":[11,22],"function":[12],"(AF)":[13],"magnitude":[14],"of":[15,40],"unimodular":[16],"sequences":[17],"under":[18],"certain":[19,89],"delay-Doppler":[20],"low":[21],"zones":[23],"(LAZ).":[24],"Our":[25],"core":[26],"idea":[27],"is":[28],"to":[29],"explore":[30],"upper":[32],"and":[33,44,56,85],"Frobenius":[38],"norm":[39],"weighted":[42],"auto-":[43,84],"cross-AF":[45,86],"matrices":[46],"by":[47,80],"introducing":[48],"two":[49],"weight":[50],"vectors":[51],"associated":[52],"with":[53,75],"delay":[55],"Doppler":[57],"shifts,":[58],"respectively.":[59],"As":[60],"a":[61],"second":[62],"major":[63],"contribution,":[64],"we":[65],"demonstrate":[66],"that":[67],"our":[68],"derived":[69],"are":[72],"asymptotically":[73],"achievable":[74],"selected":[76],"Chu":[77],"sequence":[78],"sets":[79],"analyzing":[81],"their":[82],"magnitudes":[87],"within":[88],"LAZ.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
