{"id":"https://openalex.org/W4226143594","doi":"https://doi.org/10.1109/lsp.2022.3158839","title":"An Improved Sufficient Condition for Sparse Signal Recovery With Minimization of L1-L2","display_name":"An Improved Sufficient Condition for Sparse Signal Recovery With Minimization of L1-L2","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226143594","doi":"https://doi.org/10.1109/lsp.2022.3158839"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2022.3158839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2022.3158839","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing 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/A5060337586","display_name":"Zihao He","orcid":"https://orcid.org/0000-0003-0716-1600"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zihao He","raw_affiliation_strings":["College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-0716-1600","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101118120","display_name":"Hongyu He","orcid":null},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongyu He","raw_affiliation_strings":["College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100610898","display_name":"Xiaoli Liu","orcid":"https://orcid.org/0000-0001-6488-9732"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoli Liu","raw_affiliation_strings":["College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-6488-9732","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080664346","display_name":"Jinming Wen","orcid":"https://orcid.org/0000-0002-8181-0958"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinming Wen","raw_affiliation_strings":["College of Information Science and Technology, Jinan University, Guangzhou, China","Pazhou Lab, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8181-0958","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]},{"raw_affiliation_string":"Pazhou Lab, Guangzhou, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I159948400"],"apc_list":null,"apc_paid":null,"fwci":3.8093,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.94519503,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"29","issue":null,"first_page":"907","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.8084287047386169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6667661666870117},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42235225439071655},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39347562193870544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35218459367752075},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34079599380493164},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23670455813407898},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17442333698272705}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.8084287047386169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6667661666870117},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42235225439071655},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39347562193870544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35218459367752075},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34079599380493164},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23670455813407898},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17442333698272705},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2022.3158839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2022.3158839","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4446556497","display_name":null,"funder_award_id":"2021A515010857","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G4515569331","display_name":"\u03b1-\u5f3a\u8870\u51cf\u7a00\u758f\u4fe1\u53f7\u91cd\u6784\u7406\u8bba\u7814\u7a76\u4e0e\u7b97\u6cd5\u8bbe\u8ba1","funder_award_id":"11871248","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"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1991857131","https://openalex.org/W2001466605","https://openalex.org/W2011452458","https://openalex.org/W2015606516","https://openalex.org/W2018990310","https://openalex.org/W2028781966","https://openalex.org/W2029816571","https://openalex.org/W2030719793","https://openalex.org/W2046658845","https://openalex.org/W2050834445","https://openalex.org/W2056775112","https://openalex.org/W2065321782","https://openalex.org/W2073437729","https://openalex.org/W2082476922","https://openalex.org/W2089106993","https://openalex.org/W2097323375","https://openalex.org/W2098704159","https://openalex.org/W2099641086","https://openalex.org/W2101675075","https://openalex.org/W2108924122","https://openalex.org/W2122548617","https://openalex.org/W2125935121","https://openalex.org/W2127271355","https://openalex.org/W2129131372","https://openalex.org/W2129812098","https://openalex.org/W2139961842","https://openalex.org/W2140122025","https://openalex.org/W2140856955","https://openalex.org/W2168668658","https://openalex.org/W2273561594","https://openalex.org/W2557873547","https://openalex.org/W2585796913","https://openalex.org/W2947589789","https://openalex.org/W2962975464","https://openalex.org/W2963322354","https://openalex.org/W2963960715","https://openalex.org/W2964333607","https://openalex.org/W2970372785","https://openalex.org/W3202393546","https://openalex.org/W3205960111","https://openalex.org/W4250955649","https://openalex.org/W6704584212"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2498744856","https://openalex.org/W1595229445","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W4313359513","https://openalex.org/W763418848"],"abstract_inverted_index":{"The":[0],"<inline-formula><tex-math":[1,12,15,22,25,32,48,51,54,61,64,72,93,98],"notation=\"LaTeX\">$\\ell":[2,73,99],"_{1}-\\ell":[3,74,100],"_{2}$</tex-math></inline-formula>-minimization":[4],"is":[5,27,34,82],"widely":[6],"used":[7],"to":[8],"stably":[9,68,91],"recover":[10],"a":[11,28,35],"notation=\"LaTeX\">$K$</tex-math></inline-formula>-sparse":[13,62,94],"signal":[14,63],"notation=\"LaTeX\">${\\boldsymbol{x}}$</tex-math></inline-formula>":[16,65],"from":[17],"its":[18],"low":[19],"dimensional":[20],"measurements":[21],"notation=\"LaTeX\">${\\boldsymbol{y}}=\\boldsymbol{A}{\\boldsymbol{x}}+\\boldsymbol{v}$</tex-math></inline-formula>,":[23],"where":[24],"notation=\"LaTeX\">$\\boldsymbol{A}$</tex-math></inline-formula>":[26,52],"measurement":[29],"matrix":[30],"and":[31],"notation=\"LaTeX\">$\\boldsymbol{v}$</tex-math></inline-formula>":[33],"noise":[36],"vector.":[37],"In":[38],"this":[39,81],"paper,":[40],"we":[41,79],"show":[42],"that":[43],"if":[44],"the":[45,71,83,97],"mutual":[46,85],"coherence":[47,86],"notation=\"LaTeX\">$\\mu$</tex-math></inline-formula>":[49],"of":[50,90],"satisfies":[53],"notation=\"LaTeX\">$\\mu":[55],"&lt;":[56],"\\frac{4K-1-":[57],"\\sqrt{8K+1}}{\\text{8}\\;K^{2}-8\\;K}$</tex-math></inline-formula>,":[58],"then":[59],"any":[60],"can":[66],"be":[67],"recovered":[69],"via":[70],"_{2}$</tex-math></inline-formula>-minimization.":[75,101],"As":[76],"far":[77],"as":[78],"know,":[80],"best":[84],"based":[87],"sufficient":[88],"condition":[89],"recovering":[92],"signals":[95],"with":[96]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
