{"id":"https://openalex.org/W2103450980","doi":"https://doi.org/10.1109/tsp.2009.2038959","title":"Methods for Sparse Signal Recovery Using Kalman Filtering With Embedded Pseudo-Measurement Norms and Quasi-Norms","display_name":"Methods for Sparse Signal Recovery Using Kalman Filtering With Embedded Pseudo-Measurement Norms and Quasi-Norms","publication_year":2009,"publication_date":"2009-12-21","ids":{"openalex":"https://openalex.org/W2103450980","doi":"https://doi.org/10.1109/tsp.2009.2038959","mag":"2103450980"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2038959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2038959","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/A5008915654","display_name":"Avishy Carmi","orcid":"https://orcid.org/0000-0003-4398-0910"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Avishy Carmi","raw_affiliation_strings":["Signal Processing Group, Department of Engineering, University of Cambridge, UK","Dept of Engineering, University of Cambridge, Cambridge, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal Processing Group, Department of Engineering, University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Dept of Engineering, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048691806","display_name":"Pini Gur\u008efil","orcid":"https://orcid.org/0000-0001-7097-5602"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Pini Gurfil","raw_affiliation_strings":["Faculty of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa, Israel","Fac. of Aerosp. Eng., Technion Israel Inst. of Technol., Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Fac. of Aerosp. Eng., Technion Israel Inst. of Technol., Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046671967","display_name":"Dimitri Kanevsky","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitri Kanevsky","raw_affiliation_strings":["IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USA","IBM T. J. Watson Research Center, Yorktown Heights , NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I4210114115"]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights , NY, USA#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.6363,"has_fulltext":false,"cited_by_count":148,"citation_normalized_percentile":{"value":0.98079701,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"58","issue":"4","first_page":"2405","last_page":"2409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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":0.9983000159263611,"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9979000091552734,"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/kalman-filter","display_name":"Kalman filter","score":0.6195998787879944},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.5938153862953186},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5910956859588623},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5205451250076294},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.466667115688324},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4636925458908081},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.43540796637535095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3631935119628906},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24669018387794495},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22894781827926636},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.08615431189537048}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6195998787879944},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.5938153862953186},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5910956859588623},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5205451250076294},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.466667115688324},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4636925458908081},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.43540796637535095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3631935119628906},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24669018387794495},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22894781827926636},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.08615431189537048},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2009.2038959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2038959","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1986931325","https://openalex.org/W2004544971","https://openalex.org/W2034260606","https://openalex.org/W2056775112","https://openalex.org/W2063978378","https://openalex.org/W2101675075","https://openalex.org/W2121830132","https://openalex.org/W2131752723","https://openalex.org/W2135046866","https://openalex.org/W2138170572","https://openalex.org/W2145096794","https://openalex.org/W3105340263","https://openalex.org/W6820645939"],"related_works":["https://openalex.org/W1613369675","https://openalex.org/W4300265947","https://openalex.org/W1865437409","https://openalex.org/W1981208576","https://openalex.org/W1835327556","https://openalex.org/W2951953477","https://openalex.org/W2004772971","https://openalex.org/W2333672468","https://openalex.org/W2292400542","https://openalex.org/W2361824751"],"abstract_inverted_index":{"We":[0,28],"present":[1],"two":[2,35],"simple":[3],"methods":[4],"for":[5,172],"recovering":[6],"sparse":[7],"signals":[8],"from":[9],"a":[10,23,40,46,52,77,120,141],"series":[11],"of":[12,17,60,106,158,184],"noisy":[13],"observations.":[14],"The":[15],"theory":[16],"compressed":[18],"sensing":[19],"(CS)":[20],"requires":[21],"solving":[22,30],"convex":[24],"constrained":[25],"minimization":[26],"problem.":[27],"propose":[29],"this":[31,111],"optimization":[32,64],"problem":[33],"by":[34,140],"algorithms":[36],"that":[37],"rely":[38],"on":[39,85],"Kalman":[41],"filter":[42],"(KF)":[43],"endowed":[44],"with":[45],"pseudo-measurement":[47],"(PM)":[48],"equation.":[49],"Compared":[50],"to":[51],"recently-introduced":[53],"KF-CS":[54],"method,":[55],"which":[56],"involves":[57],"the":[58,67,86,94,98,107,113,132,156,159,175,182,185],"implementation":[59],"an":[61,168],"auxiliary":[62],"CS":[63],"algorithm":[65],"(e.g.,":[66],"Dantzig":[68],"selector),":[69],"our":[70,91,127],"method":[71],"can":[72,123],"be":[73,124],"straightforwardly":[74],"implemented":[75],"in":[76],"stand-alone":[78],"manner,":[79],"as":[80],"it":[81],"is":[82],"exclusively":[83],"based":[84],"well-known":[87],"KF":[88,122,161,170],"formulation.":[89],"In":[90,110,126],"first":[92],"algorithm,":[93,129],"PM":[95],"equation":[96,116],"constrains":[97],"<i":[99,133,143],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[100,103,134,137,144],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l</i>":[101,135],"<sub":[102,136],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[104,138],"norm":[105,139],"estimated":[108],"state.":[109],"case,":[112],"augmented":[114],"measurement":[115],"becomes":[117],"linear,":[118],"so":[119],"regular":[121],"used.":[125],"second":[128],"we":[130],"replace":[131],"quasi-norm":[142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">lp</i>":[145],",":[146],"0":[147],"\u00bf":[148],"p":[149],"<":[150],"1.":[151],"This":[152],"modification":[153],"considerably":[154],"improves":[155],"accuracy":[157],"resulting":[160],"algorithm;":[162],"however,":[163],"these":[164],"improved":[165],"results":[166],"require":[167],"extended":[169],"(EKF)":[171],"properly":[173],"computing":[174],"state":[176],"statistics.":[177],"A":[178],"numerical":[179],"study":[180],"demonstrates":[181],"viability":[183],"new":[186],"methods.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":10}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}