{"id":"https://openalex.org/W2992133308","doi":"https://doi.org/10.1109/lsp.2020.2973506","title":"($\\ell _1,\\ell _2$)-RIP and Projected Back-Projection Reconstruction for Phase-Only Measurements","display_name":"($\\ell _1,\\ell _2$)-RIP and Projected Back-Projection Reconstruction for Phase-Only Measurements","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2992133308","doi":"https://doi.org/10.1109/lsp.2020.2973506","mag":"2992133308"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2020.2973506","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2020.2973506","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.research.ed.ac.uk/en/publications/195aa0a6-1f0c-4635-b783-6032a608b605","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061111027","display_name":"Thomas Feuillen","orcid":"https://orcid.org/0000-0002-3905-3543"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Thomas Feuillen","raw_affiliation_strings":["ICTEAM institute, UCLouvain, Ottignies-Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM institute, UCLouvain, Ottignies-Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057962470","display_name":"Mike E. Davies","orcid":"https://orcid.org/0000-0003-2327-236X"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mike E. Davies","raw_affiliation_strings":["Institute for Digital Communications, University of Edinburgh, Edinburgh, U.K"],"affiliations":[{"raw_affiliation_string":"Institute for Digital Communications, University of Edinburgh, Edinburgh, U.K","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000909128","display_name":"Luc Vandendorpe","orcid":"https://orcid.org/0000-0003-4958-8848"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Luc Vandendorpe","raw_affiliation_strings":["ICTEAM institute, UCLouvain, Ottignies-Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM institute, UCLouvain, Ottignies-Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053892288","display_name":"Laurent Jacques","orcid":"https://orcid.org/0000-0002-6261-0328"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Laurent Jacques","raw_affiliation_strings":["ICTEAM institute, UCLouvain, Ottignies-Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM institute, UCLouvain, Ottignies-Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061111027"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":0.5384,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58526214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":null,"first_page":"396","last_page":"400"},"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":0.9986000061035156,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/restricted-isometry-property","display_name":"Restricted isometry property","score":0.8414963483810425},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.8076268434524536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6982649564743042},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5402912497520447},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.5329070687294006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5273250937461853},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5256903171539307},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.46026521921157837},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4485878646373749},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.41956713795661926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36020612716674805},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.30572062730789185},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21072044968605042},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17616623640060425},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.1631527543067932},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15592443943023682},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08294442296028137}],"concepts":[{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.8414963483810425},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.8076268434524536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6982649564743042},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5402912497520447},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.5329070687294006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5273250937461853},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5256903171539307},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.46026521921157837},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4485878646373749},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.41956713795661926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36020612716674805},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.30572062730789185},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21072044968605042},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17616623640060425},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.1631527543067932},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15592443943023682},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08294442296028137},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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":5,"locations":[{"id":"doi:10.1109/lsp.2020.2973506","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2020.2973506","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"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/195aa0a6-1f0c-4635-b783-6032a608b605","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/195aa0a6-1f0c-4635-b783-6032a608b605","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Feuillen, T, Davies, M E, Vandendorpe, L & Jacques, L 2020, '(l1,l2)-RIP and Projected Back-Projection Reconstruction for Phase-Only Measurements', IEEE Signal Processing Letters, vol. 27. https://doi.org/10.1109/LSP.2020.2973506","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1912.02880","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.02880","pdf_url":"https://arxiv.org/pdf/1912.02880","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},{"id":"pmh:oai:dial.uclouvain.be:boreal:242058","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/242058","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters, Vol. 27, no.27, p. 396-400 (2020)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:252649","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/252649","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters, Vol. 27, p. 396-400 (2020)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:openaire/195aa0a6-1f0c-4635-b783-6032a608b605","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/195aa0a6-1f0c-4635-b783-6032a608b605","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Feuillen, T, Davies, M E, Vandendorpe, L & Jacques, L 2020, '(l1,l2)-RIP and Projected Back-Projection Reconstruction for Phase-Only Measurements', IEEE Signal Processing Letters, vol. 27. https://doi.org/10.1109/LSP.2020.2973506","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G7148151244","display_name":null,"funder_award_id":"T.0136.20 (PDR)","funder_id":"https://openalex.org/F4320321390","funder_display_name":"Fonds De La Recherche Scientifique - FNRS"}],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W205433031","https://openalex.org/W1546851689","https://openalex.org/W1977601760","https://openalex.org/W2030449718","https://openalex.org/W2046245205","https://openalex.org/W2058336356","https://openalex.org/W2060430274","https://openalex.org/W2085185623","https://openalex.org/W2112038498","https://openalex.org/W2121716262","https://openalex.org/W2122787031","https://openalex.org/W2128804753","https://openalex.org/W2152981240","https://openalex.org/W2164452299","https://openalex.org/W2288884963","https://openalex.org/W2296616510","https://openalex.org/W2736618363","https://openalex.org/W2764111657","https://openalex.org/W2942228371","https://openalex.org/W2963322354","https://openalex.org/W2964285922","https://openalex.org/W2988817072","https://openalex.org/W4250955649","https://openalex.org/W4298089655","https://openalex.org/W4301253858","https://openalex.org/W4301425558","https://openalex.org/W6665301680","https://openalex.org/W6931426199"],"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/W2468414543","https://openalex.org/W4380434867","https://openalex.org/W1848313300","https://openalex.org/W158549694"],"abstract_inverted_index":{"This":[0,89],"letter":[1],"analyzes":[2],"the":[3,11,17,40,45,64,71,78,95,101,113],"performances":[4,46],"of":[5,19,35,47,63,77,98,103,115],"a":[6,20,61],"simple":[7],"reconstruction":[8,96],"method,":[9],"namely":[10],"Projected":[12],"Back-Projection":[13],"(PBP),":[14],"for":[15],"estimating":[16],"direction":[18],"sparse":[21,79],"signal":[22,80],"from":[23],"its":[24],"phase-only":[25,120],"(or":[26],"amplitude-less)":[27],"complex":[28,41,53],"Gaussian":[29,54],"random":[30,55],"measurements,":[31],"i.e.,":[32],"an":[33],"extension":[34],"one-bit":[36],"compressive":[37,132],"sensing":[38],"to":[39,70,82,93,111,125],"field.":[42],"To":[43],"study":[44],"this":[48,119],"algorithm,":[49],"we":[50],"show":[51],"that":[52],"matrices":[56],"respect,":[57],"with":[58],"high":[59],"probability,":[60],"variant":[62],"Restricted":[65],"Isometry":[66],"Property":[67],"(RIP)":[68],"relating":[69],"\u2113":[72,84],"<sub":[73,85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[74,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[75],"-norm":[76],"measurements":[81],"their":[83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[87],"-norm.":[88],"property":[90],"allows":[91],"us":[92],"upper-bound":[94],"error":[97,126],"PBP":[99,129],"in":[100,118,130],"presence":[102],"phase":[104],"noise.":[105],"Monte":[106],"Carlo":[107],"simulations":[108],"are":[109],"performed":[110],"highlight":[112],"performance":[114],"our":[116],"approach":[117],"acquisition":[121],"model":[122],"when":[123],"compared":[124],"achieved":[127],"by":[128],"classical":[131],"sensing.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2019-12-13T00:00:00"}