{"id":"https://openalex.org/W4386737375","doi":"https://doi.org/10.1109/tvt.2023.3315325","title":"Successful Recovery Performance Guarantees of SOMP Under the -Norm of Noise","display_name":"Successful Recovery Performance Guarantees of SOMP Under the -Norm of Noise","publication_year":2023,"publication_date":"2023-09-14","ids":{"openalex":"https://openalex.org/W4386737375","doi":"https://doi.org/10.1109/tvt.2023.3315325"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2023.3315325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2023.3315325","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5100602570","display_name":"Wei Zhang","orcid":"https://orcid.org/0000-0001-9062-9854"},"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/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Zhang","raw_affiliation_strings":["School of Electronics and Information Engineering, Harbin Institute of Technology Shenzhen, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Harbin Institute of Technology Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101925384","display_name":"Taejoon Kim","orcid":"https://orcid.org/0000-0002-4017-9530"},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Taejoon Kim","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, The University of Kansas, Lawrence, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, The University of Kansas, Lawrence, KS, USA","institution_ids":["https://openalex.org/I146416000"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100602570"],"corresponding_institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":1.2975,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7631937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"73","issue":"2","first_page":"2156","last_page":"2170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9980000257492065,"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/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/norm","display_name":"Norm (philosophy)","score":0.46678626537323},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4263274371623993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4192239046096802},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.26228272914886475},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.1273845136165619}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46678626537323},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4263274371623993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4192239046096802},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26228272914886475},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.1273845136165619},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2023.3315325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2023.3315325","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1705732022","display_name":null,"funder_award_id":"CNS2146171","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G2318548222","display_name":null,"funder_award_id":"N000142112472","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3957060867","display_name":null,"funder_award_id":"CNS2212565","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G5589380232","display_name":null,"funder_award_id":"CNS2225577","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G7699973818","display_name":null,"funder_award_id":"JB45001043","funder_id":"https://openalex.org/F4320321940","funder_display_name":"Harbin Institute of Technology"}],"funders":[{"id":"https://openalex.org/F4320321940","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W1520752838","https://openalex.org/W1577111082","https://openalex.org/W1604314845","https://openalex.org/W1774526428","https://openalex.org/W1974774078","https://openalex.org/W1988451630","https://openalex.org/W1993405207","https://openalex.org/W2010221098","https://openalex.org/W2017890892","https://openalex.org/W2018324106","https://openalex.org/W2043206143","https://openalex.org/W2074602575","https://openalex.org/W2074863717","https://openalex.org/W2082029531","https://openalex.org/W2086413318","https://openalex.org/W2086869478","https://openalex.org/W2098704159","https://openalex.org/W2099641086","https://openalex.org/W2104783034","https://openalex.org/W2116148865","https://openalex.org/W2127271355","https://openalex.org/W2134033146","https://openalex.org/W2135046866","https://openalex.org/W2138548210","https://openalex.org/W2140122025","https://openalex.org/W2140856955","https://openalex.org/W2145096794","https://openalex.org/W2152374199","https://openalex.org/W2154332973","https://openalex.org/W2161431029","https://openalex.org/W2162409952","https://openalex.org/W2164696938","https://openalex.org/W2171231808","https://openalex.org/W2171787095","https://openalex.org/W2261346534","https://openalex.org/W2339667469","https://openalex.org/W2344228061","https://openalex.org/W2557873547","https://openalex.org/W2589027757","https://openalex.org/W2620945750","https://openalex.org/W2725593879","https://openalex.org/W2756726240","https://openalex.org/W2765324516","https://openalex.org/W2806946907","https://openalex.org/W2846604151","https://openalex.org/W2899788749","https://openalex.org/W2912939211","https://openalex.org/W2931070064","https://openalex.org/W2934067014","https://openalex.org/W2949734021","https://openalex.org/W2963131198","https://openalex.org/W2973908442","https://openalex.org/W3014761598","https://openalex.org/W3015756605","https://openalex.org/W3028425727","https://openalex.org/W3034846142","https://openalex.org/W3087777689","https://openalex.org/W3102404030","https://openalex.org/W3103887489","https://openalex.org/W4205915305","https://openalex.org/W4210633279","https://openalex.org/W4224229683","https://openalex.org/W4248880426","https://openalex.org/W4250955649","https://openalex.org/W4286580743"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"The":[0,150],"simultaneous":[1],"orthogonal":[2],"matching":[3],"pursuit":[4],"(SOMP)":[5],"is":[6,31,74,86,95,135],"a":[7,16,46,100,175],"popular,":[8],"greedy":[9],"approach":[10],"for":[11,56],"common":[12],"support":[13,84],"recovery":[14,85,105,177],"of":[15,28,38,59,90,114,122,144,155,161,167,186,201],"row-sparse":[17],"matrix.":[18,125],"However,":[19],"compared":[20],"to":[21,173,193,205,208],"the":[22,25,36,51,63,78,82,91,103,111,115,123,130,141,153,159,165,183,187,194,199,209,216],"noiseless":[23],"scenario,":[24],"performance":[26,57],"analysis":[27,58,151,218],"noisy":[29,60],"SOMP":[30,61],"still":[32],"nascent,":[33],"especially":[34],"in":[35,88],"scenario":[37],"unbounded":[39],"noise.":[40],"In":[41],"this":[42],"article,":[43],"we":[44,76,97,127,180,213],"present":[45],"new":[47],"study":[48],"based":[49],"on":[50,80,102,110,129],"mutual":[52,168,184],"incoherence":[53],"property":[54],"(MIP)":[55],"when":[62,72,133],"measurement":[64,188],"matrix":[65,189],"and":[66,138,164,198],"sparse":[67,162,202],"signal":[68],"are":[69,171],"deterministic.":[70],"Specifically,":[71],"noise":[73,94,124,134,157,195,210],"bounded,":[75],"provide":[77],"condition":[79],"which":[81],"exact":[83],"guaranteed":[87],"terms":[89],"MIP.":[92],"When":[93],"unbounded,":[96],"instead":[98],"derive":[99],"bound":[101,143],"successful":[104],"probability":[106],"(SRP)":[107],"that":[108,140,170,182],"depends":[109],"specific":[112],"distribution":[113],"<inline-formula":[116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[118],"notation=\"LaTeX\">$\\ell":[119],"_{2}$</tex-math></inline-formula>":[120],"-norm":[121],"Then":[126],"focus":[128],"typical":[131],"case":[132],"random":[136],"Gaussian,":[137],"show":[139,181],"lower":[142],"SRP":[145],"follows":[146],"Tracy-Widom":[147],"law":[148],"distribution.":[149],"reveals":[152],"number":[154,160,200],"measurements,":[156],"level,":[158],"vectors,":[163],"value":[166],"coherence":[169,185],"required":[172],"guarantee":[174],"predefined":[176],"performance.":[178],"Theoretically,":[179],"must":[190],"decrease":[191],"proportionally":[192,207],"standard":[196],"deviation,":[197],"vectors":[203],"needs":[204],"grow":[206],"variance.":[211],"Finally,":[212],"extensively":[214],"validate":[215],"derived":[217],"through":[219],"numerical":[220],"simulations.":[221]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
