{"id":"https://openalex.org/W4385211451","doi":"https://doi.org/10.1109/lcomm.2023.3298338","title":"Ambiguity Function Shaping via Manifold Optimization Embedding With Momentum","display_name":"Ambiguity Function Shaping via Manifold Optimization Embedding With Momentum","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385211451","doi":"https://doi.org/10.1109/lcomm.2023.3298338"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2023.3298338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2023.3298338","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/A5106496184","display_name":"Haotian Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haotian Hu","raw_affiliation_strings":["School of the Gifted Young, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of the Gifted Young, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080510974","display_name":"Kai Zhong","orcid":"https://orcid.org/0000-0001-5078-4665"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I4210123686","display_name":"Quzhou University","ror":"https://ror.org/024nfx323","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210123686"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Zhong","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","Yangtze Delta Region Institute (Quzhou), University of Electronic Science and Technology of China, Quzhou, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Yangtze Delta Region Institute (Quzhou), University of Electronic Science and Technology of China, Quzhou, Zhejiang, China","institution_ids":["https://openalex.org/I4210123686","https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075696071","display_name":"Cunhua Pan","orcid":"https://orcid.org/0000-0001-5286-7958"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cunhua Pan","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006092018","display_name":"Xiangqing Xiao","orcid":"https://orcid.org/0009-0007-1132-2557"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangqing Xiao","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5106496184"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":1.3235,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84014039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"27","issue":"10","first_page":"2727","last_page":"2731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":1.0,"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":1.0,"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9998000264167786,"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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6013555526733398},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5378981828689575},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.526552677154541},{"id":"https://openalex.org/keywords/ambiguity-function","display_name":"Ambiguity function","score":0.5004935264587402},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.48374032974243164},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4793984889984131},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.45250970125198364},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4518890976905823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4457359313964844},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4338805079460144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3942296504974365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3814036250114441},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32057303190231323},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.14546984434127808},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.13726380467414856},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.13609832525253296},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10257342457771301},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09782281517982483},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09667164087295532}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6013555526733398},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5378981828689575},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.526552677154541},{"id":"https://openalex.org/C50878840","wikidata":"https://www.wikidata.org/wiki/Q3206297","display_name":"Ambiguity function","level":4,"score":0.5004935264587402},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.48374032974243164},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4793984889984131},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.45250970125198364},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4518890976905823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4457359313964844},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4338805079460144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3942296504974365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3814036250114441},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32057303190231323},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.14546984434127808},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.13726380467414856},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.13609832525253296},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10257342457771301},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09782281517982483},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09667164087295532},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2023.3298338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2023.3298338","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":[{"id":"https://openalex.org/G1548235681","display_name":null,"funder_award_id":"61871102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5602937271","display_name":null,"funder_award_id":"62231006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7066832835","display_name":null,"funder_award_id":"2023YFG0176","funder_id":"https://openalex.org/F4320333335","funder_display_name":"Sichuan Province Science and Technology Support Program"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320333335","display_name":"Sichuan Province Science and Technology Support Program","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1996595848","https://openalex.org/W2544090110","https://openalex.org/W2611118235","https://openalex.org/W2625300002","https://openalex.org/W2769776241","https://openalex.org/W2885695380","https://openalex.org/W2946722229","https://openalex.org/W2968636962","https://openalex.org/W2969095443","https://openalex.org/W2974697617","https://openalex.org/W2981593712","https://openalex.org/W3005113863","https://openalex.org/W3015001943","https://openalex.org/W3021225717","https://openalex.org/W3091842477","https://openalex.org/W3094164592","https://openalex.org/W3100772943","https://openalex.org/W3103200723","https://openalex.org/W3161146288","https://openalex.org/W3206176820","https://openalex.org/W4210915098","https://openalex.org/W4213291599","https://openalex.org/W4225563555","https://openalex.org/W4225808305","https://openalex.org/W4226061238","https://openalex.org/W4285174502","https://openalex.org/W4289792798","https://openalex.org/W4295886537","https://openalex.org/W4313639397","https://openalex.org/W4320018439","https://openalex.org/W4377001526"],"related_works":["https://openalex.org/W2756132392","https://openalex.org/W3035814349","https://openalex.org/W2084892497","https://openalex.org/W4285101096","https://openalex.org/W4320477335","https://openalex.org/W2518949622","https://openalex.org/W4382725876","https://openalex.org/W2115614142","https://openalex.org/W2275184629","https://openalex.org/W1561889708"],"abstract_inverted_index":{"The":[0,22,37],"design":[1,23],"of":[2,132],"the":[3,15,26,35,42,46,50,61,71,96,109,116,124,128,133,138,142,146],"constant-modulus":[4,32],"waveform":[5],"for":[6],"Doppler":[7],"ambiguity":[8],"function":[9],"shaping":[10],"in":[11,18],"slow-time":[12],"domain":[13],"is":[14,25,64,80],"key":[16],"technology":[17],"cognitive":[19],"radar":[20],"systems.":[21],"problem":[24,30,43,63,69],"non-convex":[27],"fourth-order":[28,67],"optimization":[29,78],"with":[31,100,137,153],"constraints":[33],"on":[34,70,86,91,123],"waveform.":[36],"existing":[38,139],"methods":[39],"mainly":[40],"solve":[41],"by":[44,150],"relaxing":[45],"objective":[47,134],"function,":[48],"but":[49],"relaxation":[51,56],"will":[52],"inevitably":[53],"lead":[54],"to":[55,82,126],"error.":[57],"We":[58,106],"noticed":[59],"that":[60],"original":[62],"a":[65,83,87],"natural":[66],"unconstrained":[68],"Complex":[72],"Circle":[73],"Manifold":[74,97],"(CCM),":[75],"and":[76,120,130],"its":[77],"process":[79],"equivalent":[81],"particle":[84],"moving":[85],"high-dimensional":[88],"plane.":[89],"Based":[90],"this":[92],"feature,":[93],"we":[94],"propose":[95],"Optimization":[98],"Embedding":[99],"Momentum":[101],"(MOEM)":[102],"method":[103,144],"without":[104],"relaxation.":[105],"first":[107],"derive":[108],"momentum":[110],"update":[111,115],"strategy,":[112],"then":[113],"adaptively":[114],"descent":[117],"step":[118],"size,":[119],"finally":[121],"optimize":[122],"manifold":[125],"ensure":[127],"monotonicity":[129],"convergence":[131],"function.":[135],"Compared":[136],"state-of-the-art":[140],"methods,":[141],"proposed":[143],"improves":[145],"Signal-to-Interference":[147],"Ratio":[148],"(SIR)":[149],"65":[151],"dB":[152],"less":[154],"computational":[155],"cost.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}