{"id":"https://openalex.org/W4389459410","doi":"https://doi.org/10.1109/tsp.2023.3339398","title":"MaRLI: Attack on the Discrete-Phase WISL Minimization Problem","display_name":"MaRLI: Attack on the Discrete-Phase WISL Minimization Problem","publication_year":2023,"publication_date":"2023-12-07","ids":{"openalex":"https://openalex.org/W4389459410","doi":"https://doi.org/10.1109/tsp.2023.3339398"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3339398","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3339398","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/10348020.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/10348020.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021150988","display_name":"Arian Eamaz","orcid":"https://orcid.org/0000-0003-0479-9502"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Arian Eamaz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067897446","display_name":"Farhang Yeganegi","orcid":"https://orcid.org/0000-0003-0742-7667"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Farhang Yeganegi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053865178","display_name":"Mojtaba Soltanalian","orcid":"https://orcid.org/0000-0003-3714-4449"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mojtaba Soltanalian","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021150988"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":9.8984,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.97535357,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"72","issue":null,"first_page":"219","last_page":"234"},"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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9941999912261963,"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":0.8145982027053833},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6522126197814941},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5397696495056152},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49454256892204285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4352734088897705},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43035683035850525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3671730160713196},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3335700035095215},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2440868318080902},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06731012463569641}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.8145982027053833},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6522126197814941},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5397696495056152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49454256892204285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4352734088897705},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43035683035850525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3671730160713196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3335700035095215},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2440868318080902},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06731012463569641},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2023.3339398","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3339398","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/10348020.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tsp.2023.3339398","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3339398","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/10348020.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389459410.pdf","grobid_xml":"https://content.openalex.org/works/W4389459410.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W35636098","https://openalex.org/W1520757484","https://openalex.org/W1542938076","https://openalex.org/W1559261959","https://openalex.org/W1583497301","https://openalex.org/W1847873548","https://openalex.org/W1967790992","https://openalex.org/W1975946638","https://openalex.org/W1988720110","https://openalex.org/W1992045599","https://openalex.org/W2024776588","https://openalex.org/W2051796813","https://openalex.org/W2053024959","https://openalex.org/W2078675136","https://openalex.org/W2093726631","https://openalex.org/W2096064243","https://openalex.org/W2118799287","https://openalex.org/W2128187515","https://openalex.org/W2132702454","https://openalex.org/W2138706041","https://openalex.org/W2147404483","https://openalex.org/W2148623882","https://openalex.org/W2151780360","https://openalex.org/W2159317264","https://openalex.org/W2160374271","https://openalex.org/W2164278908","https://openalex.org/W2191074260","https://openalex.org/W2494798456","https://openalex.org/W2532768723","https://openalex.org/W2535013035","https://openalex.org/W2560387686","https://openalex.org/W2578438628","https://openalex.org/W2616830648","https://openalex.org/W2708665101","https://openalex.org/W2727453073","https://openalex.org/W2780206593","https://openalex.org/W2790419630","https://openalex.org/W2969215180","https://openalex.org/W3003135299","https://openalex.org/W3032503733","https://openalex.org/W3088745370","https://openalex.org/W3113303153","https://openalex.org/W3141595720","https://openalex.org/W3162077085","https://openalex.org/W4236826464","https://openalex.org/W4372341636","https://openalex.org/W4387587600","https://openalex.org/W6631064309","https://openalex.org/W6839303880"],"related_works":["https://openalex.org/W2011745869","https://openalex.org/W2088028898","https://openalex.org/W1974942973","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/W1928809325"],"abstract_inverted_index":{"To":[0],"facilitate":[1],"target":[2],"localization,":[3],"active":[4],"radar":[5],"signals":[6],"or":[7,31],"sequences":[8,130],"are":[9,183],"designed":[10],"to":[11,53,94,102,125,165,185,198,209],"have":[12],"low":[13,132],"auto-correlation.":[14],"This":[15],"goal":[16],"is":[17,76,156],"typically":[18],"achieved":[19],"by":[20,158],"the":[21,24,32,38,42,80,91,113,127,134,162,187,190,204,210],"minimization":[22,68,104],"of":[23,37,71,88,112,189,203],"auto-correlation":[25],"integrated":[26],"sidelobe":[27],"level":[28],"(ISL)":[29],"metric,":[30],"more":[33],"general,":[34],"weighted":[35],"version":[36],"ISL,":[39],"known":[40],"as":[41],"WISL":[43,67,103],"metric.":[44],"In":[45],"this":[46,167],"paper,":[47],"we":[48,194],"introduce":[49],"two":[50],"problem":[51,93],"formulations":[52],"address":[54],"<italic":[55,118,135,139,147,152],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[56,119,136,140,148,153],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">unimodular":[57],"quartic":[58],"program</i>":[59],",":[60],"which":[61,89],"arises":[62],"in":[63],"numerous":[64],"applications,":[65],"with":[66,131],"being":[69],"one":[70],"them.":[72],"The":[73],"first":[74],"approach":[75,164],"almost":[77],"equivalent,":[78],"while":[79],"second":[81],"scheme":[82],"utilizes":[83],"a":[84,95,200],"bi-quadratic":[85],"formulation,":[86],"both":[87],"simplify":[90],"main":[92],"quadratic":[96],"program.":[97],"We":[98],"propose":[99],"efficient":[100],"approaches":[101],"for":[105],"unimodular":[106,129,143],"sequence":[107,144,180],"design":[108,126,145,181],"that":[109],"take":[110],"advantage":[111],"low-cost":[114],"and":[115,160,173,177],"easily":[116],"implementable":[117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">power":[120],"method-like":[121],"iterations</i>":[122],"(PMLI).":[123],"Moreover,":[124],"discrete-phase":[128],"WISL,":[133],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</i>":[137],"-":[138],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">a</i>":[141],"ry":[142],"via":[146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">R</i>":[149],"elaxed":[150],"PM":[151],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">LI</i>":[154],"(MaRLI)":[155],"proposed":[157,191],"changing":[159],"adopting":[161],"PMLI":[163],"tackle":[166],"challenging":[168],"problem.":[169],"Several":[170],"numerical":[171],"results":[172],"comparisons":[174],"between":[175],"MaRLI":[176,196],"other":[178],"well-known":[179],"algorithms":[182],"presented":[184],"illustrate":[186],"effectiveness":[188],"method.":[192],"As":[193],"show,":[195],"appears":[197],"achieve":[199],"better":[201],"suppression":[202],"finite-alphabet":[205],"autocorrelation":[206],"levels":[207],"compared":[208],"state-of-the-art":[211],"alternatives.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
