{"id":"https://openalex.org/W2110768232","doi":"https://doi.org/10.1137/120878380","title":"Communications-Inspired Projection Design with Application to Compressive Sensing","display_name":"Communications-Inspired Projection Design with Application to Compressive Sensing","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2110768232","doi":"https://doi.org/10.1137/120878380","mag":"2110768232"},"language":"en","primary_location":{"id":"doi:10.1137/120878380","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120878380","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1206.1973","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"William R. Carson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William R. Carson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Minhua Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Minhua Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Miguel R. D. Rodrigues","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miguel R. D. Rodrigues","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Robert Calderbank","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Calderbank","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Lawrence Carin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lawrence Carin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.0051,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.98192079,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"5","issue":"4","first_page":"1185","last_page":"1212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9907000064849854,"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":0.9907000064849854,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.002099999925121665,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.0006000000284984708,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.7293999791145325},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.7073000073432922},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6420999765396118},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.6111999750137329},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.44999998807907104},{"id":"https://openalex.org/keywords/oblique-projection","display_name":"Oblique projection","score":0.444599986076355},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4348999857902527},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4198000133037567},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.4041000008583069}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.7293999791145325},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7073000073432922},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6420999765396118},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.6111999750137329},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49639999866485596},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48669999837875366},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.44999998807907104},{"id":"https://openalex.org/C161666082","wikidata":"https://www.wikidata.org/wiki/Q14551923","display_name":"Oblique projection","level":3,"score":0.444599986076355},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4198000133037567},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.4041000008583069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3971000015735626},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.37709999084472656},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.3709999918937683},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36980000138282776},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.36890000104904175},{"id":"https://openalex.org/C3020402766","wikidata":"https://www.wikidata.org/wiki/Q104376712","display_name":"Prior information","level":2,"score":0.3659000098705292},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.35910001397132874},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C167431731","wikidata":"https://www.wikidata.org/wiki/Q249013","display_name":"3D projection","level":3,"score":0.3431999981403351},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.334199994802475},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.3073999881744385},{"id":"https://openalex.org/C2989281035","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Signal recovery","level":3,"score":0.3019999861717224},{"id":"https://openalex.org/C45354692","wikidata":"https://www.wikidata.org/wiki/Q2734388","display_name":"Vector projection","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28119999170303345}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/120878380","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120878380","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1206.1973","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1206.1973","pdf_url":"https://arxiv.org/pdf/1206.1973","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1206.1973","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1206.1973","pdf_url":"https://arxiv.org/pdf/1206.1973","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1963626748","https://openalex.org/W1986736933","https://openalex.org/W2002498099","https://openalex.org/W2005214561","https://openalex.org/W2029816571","https://openalex.org/W2049285480","https://openalex.org/W2049502219","https://openalex.org/W2055440460","https://openalex.org/W2071284784","https://openalex.org/W2071644606","https://openalex.org/W2072838267","https://openalex.org/W2097695636","https://openalex.org/W2098316308","https://openalex.org/W2109220626","https://openalex.org/W2111616148","https://openalex.org/W2115883733","https://openalex.org/W2119667497","https://openalex.org/W2125399902","https://openalex.org/W2125680629","https://openalex.org/W2129000925","https://openalex.org/W2130667916","https://openalex.org/W2135780853","https://openalex.org/W2136464164","https://openalex.org/W2137521691","https://openalex.org/W2137736549","https://openalex.org/W2138245406","https://openalex.org/W2145096794","https://openalex.org/W2147431204","https://openalex.org/W2153526495","https://openalex.org/W2153642672","https://openalex.org/W2164452299","https://openalex.org/W2165350939","https://openalex.org/W2167455364","https://openalex.org/W4250955649"],"related_works":[],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,14,28,36,69,73,76,80,84,102,105,111,119,127,131,137,143,156,173,178,181],"recovery":[3,207],"of":[4,13,83,101,104,122,158,172,180],"an":[5],"underlying":[6],"signal":[7,37,74,206],"$\\mathbf{x}\\in\\mathbb{C}^m$":[8],"based":[9],"on":[10,98],"projection":[11,56,112,145,183,198],"measurements":[12],"form":[15],"$\\mathbf{y}=\\mathbf{M}\\mathbf{x}+\\mathbf{w}$,":[16],"where":[17,114],"$\\mathbf{y}\\in\\mathbb{C}^\\ell$":[18],"and":[19,42,75,124,149],"$\\mathbf{w}$":[20],"is":[21,33,40,52,92,208],"measurement":[22],"noise;":[23],"we":[24,115,135,168],"are":[25,153],"interested":[26],"in":[27,185],"case":[29,157],"$\\ell\\ll":[30],"m$.":[31],"It":[32],"assumed":[34],"that":[35,43],"model":[38],"$p(\\mathbf{x})$":[39],"known":[41,47],"$\\mathbf{w}\\sim\\mathcal{CN}(\\mathbf{w};\\boldsymbol{0},\\bf":[44],"\\Sigma_w)$":[45],"for":[46,155,194],"$\\bf":[48],"\\Sigma_w$.":[49],"The":[50],"objective":[51],"to":[53,60,110,130,163,187],"design":[54,199],"a":[55,93,170,195],"matrix":[57],"$\\mathbf{M}\\in\\mathbb{C}^{\\ell\\times":[58],"m}$":[59],"maximize":[61],"key":[62,138],"information-theoretic":[63],"quantities":[64],"with":[65,108,201],"operational":[66],"significance,":[67],"including":[68],"mutual":[70,128],"information":[71,106,129],"between":[72],"projections":[77,85],"$\\mathcal{I}(\\mathbf{x};\\mathbf{y})$":[78],"or":[79],"R\u00e9nyi":[81,132],"entropy":[82,91,133],"$\\mbox{h}_\\alpha":[86],"\\left(":[87],"\\mathbf{y}":[88],"\\right)$":[89],"(Shannon":[90],"special":[94],"case).":[95],"By":[96],"capitalizing":[97],"explicit":[99],"characterizations":[100],"gradients":[103],"measures":[107],"respect":[109],"matrix,":[113],"also":[116],"partially":[117],"extend":[118],"well-known":[120],"results":[121],"Palomar":[123],"Verd\u00fa":[125],"from":[126],"domain,":[134],"reveal":[136],"operations":[139],"carried":[140],"out":[141],"by":[142],"optimal":[144],"designs:":[146],"mode":[147,150],"exposure":[148],"alignment.":[151],"Experiments":[152],"considered":[154],"compressive":[159],"sensing":[160],"(CS)":[161],"applied":[162],"imagery.":[164],"In":[165],"this":[166],"context,":[167],"provide":[169],"demonstration":[171],"performance":[174],"improvement":[175],"possible":[176],"through":[177],"application":[179],"novel":[182],"designs":[184],"relation":[186],"conventional":[188],"ones,":[189],"as":[190,192],"well":[191],"justification":[193],"fast":[196],"online":[197],"method":[200],"which":[202],"state-of-the-art":[203],"adaptive":[204],"CS":[205],"achieved.":[209]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":10}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}
