{"id":"https://openalex.org/W2076411331","doi":"https://doi.org/10.1109/acssc.2011.6190119","title":"Compressive sensing: To compress or not to compress","display_name":"Compressive sensing: To compress or not to compress","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2076411331","doi":"https://doi.org/10.1109/acssc.2011.6190119","mag":"2076411331"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2011.6190119","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2011.6190119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5033953468","display_name":"Davis Kirachaiwanich","orcid":null},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Davis Kirachaiwanich","raw_affiliation_strings":["Department of Electrical Engineering, University of Texas, Arlington, Arlington, TX, USA","Department of Electrical Engineering, University of Texas at Arlington, 76011, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Texas, Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Texas at Arlington, 76011, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052175115","display_name":"Qilian Liang","orcid":"https://orcid.org/0000-0002-3630-8010"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qilian Liang","raw_affiliation_strings":["Department of Electrical Engineering, University of Texas, Arlington, Arlington, TX, USA","Department of Electrical Engineering, University of Texas at Arlington, 76011, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Texas, Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Texas at Arlington, 76011, USA","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189196454"],"apc_list":null,"apc_paid":null,"fwci":3.7112,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93468415,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"809","last_page":"813"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7613047957420349},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6880956292152405},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6776019334793091},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6432675719261169},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6117333173751831},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.610219419002533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5802324414253235},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.573311448097229},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5577545166015625},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.4877949059009552},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4612656235694885},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.4468824565410614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43304187059402466},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.423572838306427},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4172958433628082},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.415669322013855},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3934658169746399},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2517310678958893},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25143420696258545},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09954112768173218},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09388470649719238}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7613047957420349},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6880956292152405},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6776019334793091},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6432675719261169},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6117333173751831},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.610219419002533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5802324414253235},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.573311448097229},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5577545166015625},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.4877949059009552},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4612656235694885},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.4468824565410614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43304187059402466},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.423572838306427},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4172958433628082},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.415669322013855},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3934658169746399},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2517310678958893},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25143420696258545},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09954112768173218},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09388470649719238},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acssc.2011.6190119","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2011.6190119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2030449718","https://openalex.org/W2061310904","https://openalex.org/W2099641086","https://openalex.org/W2104266187","https://openalex.org/W2109357213","https://openalex.org/W2119667497","https://openalex.org/W2127271355","https://openalex.org/W2129638195","https://openalex.org/W2145096794","https://openalex.org/W2296616510","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W1595179898","https://openalex.org/W2949399405","https://openalex.org/W4301619540","https://openalex.org/W4297570801","https://openalex.org/W1639246335","https://openalex.org/W116214155","https://openalex.org/W2952050240","https://openalex.org/W2568623927","https://openalex.org/W2085436476","https://openalex.org/W2025666718"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,10,18,22,32,54,61,64,70,80,94,101,105,109,116,122,128,133],"compressive":[6],"sensing":[7],"scheme":[8],"from":[9,100],"information":[11,33,95],"theory":[12],"point":[13],"of":[14,21,24,31,63,69,82,121],"view":[15],"and":[16,66,118,132],"derive":[17],"lower":[19,85],"bound":[20],"probability":[23,81],"error":[25,83,129],"for":[26,43],"CS":[27,102],"when":[28],"length":[29],"N":[30],"vector":[34,49],"is":[35,57,73,84,112,130],"large.":[36],"The":[37],"result":[38],"has":[39],"been":[40],"shown":[41],"that,":[42],"an":[44],"i.i.d.":[45],"Gaussian":[46],"distributed":[47],"signal":[48],"with":[50],"unit":[51],"variance,":[52],"if":[53,108],"measurement":[55,110],"matrix":[56,111],"chosen":[58,113],"such":[59,114],"that":[60,93,115],"ratio":[62],"minimum":[65,117],"maximum":[67,119],"eigenvalues":[68,120],"covariance":[71,123],"matrices":[72,124],"greater":[74],"or":[75],"equal":[76],"to":[77],"4/(M/K+1),":[78],"then":[79,127],"bounded":[86],"by":[87],"a":[88],"non-positive":[89],"value;":[90],"which":[91],"implies":[92],"can":[96,136],"be":[97,138],"perfectly":[98],"recovered":[99],"scheme.":[103],"On":[104],"other":[106],"hand,":[107],"are":[125],"equal,":[126],"certain":[131],"perfect":[134],"recovery":[135],"never":[137],"achieved.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}