{"id":"https://openalex.org/W3162431324","doi":"https://doi.org/10.1109/tsp.2021.3079819","title":"Designing Unimodular Sequences With Optimized Auto/Cross-Correlation Properties via Consensus-ADMM/PDMM Approaches","display_name":"Designing Unimodular Sequences With Optimized Auto/Cross-Correlation Properties via Consensus-ADMM/PDMM Approaches","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3162431324","doi":"https://doi.org/10.1109/tsp.2021.3079819","mag":"3162431324"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3079819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3079819","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/A5051393314","display_name":"Jiangtao Wang","orcid":"https://orcid.org/0000-0002-8603-6084"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiangtao Wang","raw_affiliation_strings":["State Key Laboratory of ISN, Xidian University, Xi\u2019an, China","State Key Laboratory of ISN, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-8603-6084","affiliations":[{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635294","display_name":"Yongchao Wang","orcid":"https://orcid.org/0000-0002-0640-4140"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongchao Wang","raw_affiliation_strings":["State Key Laboratory of ISN, Xidian University, Xi\u2019an, China","State Key Laboratory of ISN, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-0640-4140","affiliations":[{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051393314"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":16.4227,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.98418777,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"2987","last_page":"2999"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":0.9998999834060669,"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":0.9998999834060669,"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/T10069","display_name":"Antenna Design and Analysis","score":0.9800999760627747,"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":0.9764999747276306,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.7600274682044983},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.670147180557251},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6526853442192078},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5175896883010864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.505376398563385},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.5035936236381531},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.44172146916389465},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.42198628187179565},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4129122495651245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4097975492477417},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38645362854003906},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09314414858818054}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.7600274682044983},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.670147180557251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6526853442192078},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5175896883010864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.505376398563385},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.5035936236381531},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.44172146916389465},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.42198628187179565},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4129122495651245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4097975492477417},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38645362854003906},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09314414858818054},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2021.3079819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3079819","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":[{"id":"https://openalex.org/G2416666569","display_name":null,"funder_award_id":"61771356","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3104635512","display_name":null,"funder_award_id":"XJS210110","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1559261959","https://openalex.org/W1599703818","https://openalex.org/W2000317822","https://openalex.org/W2040051652","https://openalex.org/W2041463139","https://openalex.org/W2049649922","https://openalex.org/W2053024959","https://openalex.org/W2070548111","https://openalex.org/W2078675136","https://openalex.org/W2096064243","https://openalex.org/W2102977962","https://openalex.org/W2105693192","https://openalex.org/W2107415712","https://openalex.org/W2108419307","https://openalex.org/W2108625419","https://openalex.org/W2118799287","https://openalex.org/W2128187515","https://openalex.org/W2139060184","https://openalex.org/W2140798944","https://openalex.org/W2146574528","https://openalex.org/W2146663649","https://openalex.org/W2155951048","https://openalex.org/W2163869308","https://openalex.org/W2164278908","https://openalex.org/W2261154172","https://openalex.org/W2277973662","https://openalex.org/W2295652899","https://openalex.org/W2494798456","https://openalex.org/W2535013035","https://openalex.org/W2540592878","https://openalex.org/W2578438628","https://openalex.org/W2600140681","https://openalex.org/W2780206593","https://openalex.org/W2803472669","https://openalex.org/W2809430501","https://openalex.org/W2936995161","https://openalex.org/W2962834015","https://openalex.org/W2963463201","https://openalex.org/W3123262202","https://openalex.org/W4292363360","https://openalex.org/W6681901611","https://openalex.org/W6761030284"],"related_works":["https://openalex.org/W2011745869","https://openalex.org/W2088028898","https://openalex.org/W2950905816","https://openalex.org/W211627054","https://openalex.org/W1608437562","https://openalex.org/W2083668208","https://openalex.org/W3141916192","https://openalex.org/W2171197936","https://openalex.org/W2094499544","https://openalex.org/W1862627809"],"abstract_inverted_index":{"Unimodular":[0],"sequences":[1],"with":[2,51],"good":[3,77],"auto/cross-correlation":[4],"properties":[5,171],"are":[6],"favorable":[7],"in":[8,165],"wireless":[9],"communication":[10],"and":[11,94,101,120,146],"radar":[12],"applications.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17,40,81,103,137],"focus":[18],"on":[19,87],"designing":[20,43],"low":[21],"computational":[22,147,167],"complexity":[23,148],"but":[24],"theoretically-guaranteed":[25],"algorithms":[26,85],"to":[27,67,74,111],"achieve":[28,75],"these":[29],"kinds":[30],"of":[31,91,98,115,127,149,172],"sequences.":[32,176],"The":[33],"main":[34],"content":[35],"is":[36,65,123,134],"as":[37,45],"follows:":[38],"first,":[39],"formulate":[41],"the":[42,61,106,116,128,140,150,158,173],"problem":[44,50,64,119,131],"a":[46,68],"quartic":[47],"polynomial":[48,62],"minimization":[49,63],"constant":[52],"modulus":[53],"constraints;":[54],"second,":[55],"by":[56],"introducing":[57],"auxiliary":[58],"phase":[59],"variables,":[60],"equivalent":[66],"consensus":[69],"nonconvex":[70,118,130,141],"optimization":[71,142],"problem;":[72],"third,":[73],"its":[76],"approximate":[78],"solution":[79],"efficiently,":[80],"propose":[82],"two":[83],"efficient":[84],"based":[86],"alternating":[88],"direction":[89,96],"method":[90,97],"multipliers":[92,99],"(ADMM)":[93],"parallel":[95],"(PDMM);":[100],"fourth,":[102],"prove":[104],"that":[105,157],"consensus-ADMM":[107],"algorithm":[108],"can":[109],"converge":[110],"some":[112,124],"stationary":[113,125],"point":[114,126],"original":[117,129],"consensus-PDMM's":[121],"output":[122],"if":[132],"it":[133],"convergent.":[135],"Moreover,":[136],"also":[138],"analyze":[139],"model's":[143],"local":[144],"optimality":[145],"proposed":[151,159],"consensus-ADMM/PDMM":[152],"approaches.":[153],"Simulation":[154],"results":[155],"demonstrate":[156],"ADMM/PDMM":[160],"approaches":[161],"outperform":[162],"state-of-the-art":[163],"ones":[164],"either":[166],"cost":[168],"or":[169],"correlation":[170],"designed":[174],"unimodular":[175]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
