{"id":"https://openalex.org/W2965557428","doi":"https://doi.org/10.1109/tsp.2019.2931169","title":"Super Resolution Phase Retrieval for Sparse Signals","display_name":"Super Resolution Phase Retrieval for Sparse Signals","publication_year":2019,"publication_date":"2019-07-26","ids":{"openalex":"https://openalex.org/W2965557428","doi":"https://doi.org/10.1109/tsp.2019.2931169","mag":"2965557428"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2019.2931169","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2931169","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/8794696/08777139.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/78/8794696/08777139.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072231116","display_name":"Gilles Baechler","orcid":"https://orcid.org/0000-0002-8453-6093"},"institutions":[{"id":"https://openalex.org/I4210100430","display_name":"Google (Switzerland)","ror":"https://ror.org/014f9c269","country_code":"CH","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210100430","https://openalex.org/I4210128969"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Gilles Baechler","raw_affiliation_strings":["Google, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Google, Zurich, Switzerland","institution_ids":["https://openalex.org/I4210100430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083210101","display_name":"Miranda Krekovi\u0107","orcid":"https://orcid.org/0000-0003-1485-4368"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Miranda Krekovic","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043915143","display_name":"Juri Ranieri","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100430","display_name":"Google (Switzerland)","ror":"https://ror.org/014f9c269","country_code":"CH","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210100430","https://openalex.org/I4210128969"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Juri Ranieri","raw_affiliation_strings":["Google, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Google, Zurich, Switzerland","institution_ids":["https://openalex.org/I4210100430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035312617","display_name":"Amina Chebira","orcid":null},"institutions":[{"id":"https://openalex.org/I135218257","display_name":"Swiss Center for Electronics and Microtechnology (Switzerland)","ror":"https://ror.org/05nrrsx06","country_code":"CH","type":"company","lineage":["https://openalex.org/I135218257"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Amina Chebira","raw_affiliation_strings":["CSEM, Neuch\u00e2tel, Switzerland"],"affiliations":[{"raw_affiliation_string":"CSEM, Neuch\u00e2tel, Switzerland","institution_ids":["https://openalex.org/I135218257"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038111389","display_name":"Yue M. Lu","orcid":"https://orcid.org/0000-0002-5174-2595"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yue M. Lu","raw_affiliation_strings":["Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049415924","display_name":"Martin Vetterli","orcid":"https://orcid.org/0000-0002-6122-1216"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Martin Vetterli","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5072231116"],"corresponding_institution_ids":["https://openalex.org/I4210100430"],"apc_list":null,"apc_paid":null,"fwci":3.9065,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93643632,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"67","issue":"18","first_page":"4839","last_page":"4854"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.9879999756813049,"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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/computer-science","display_name":"Computer science","score":0.6102821826934814},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4958053529262543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4536617696285248},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.448591411113739},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.44558796286582947},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.4286474585533142},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34178972244262695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2516877353191376},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.18781253695487976},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.16685175895690918},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13280579447746277}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6102821826934814},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4958053529262543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4536617696285248},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.448591411113739},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.44558796286582947},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.4286474585533142},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34178972244262695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2516877353191376},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.18781253695487976},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.16685175895690918},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13280579447746277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2019.2931169","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2931169","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/8794696/08777139.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.01961","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.01961","pdf_url":"https://arxiv.org/pdf/1808.01961","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:infoscience.epfl.ch:257572","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/149113","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"doi:10.1109/tsp.2019.2931169","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2931169","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/8794696/08777139.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[{"id":"https://openalex.org/G5225308780","display_name":"Insecta Helvetica, Fauna Bd. 6: Hymenoptera Formicidae","funder_award_id":"15107","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6869960720","display_name":null,"funder_award_id":"20FP-1 151073","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7616702594","display_name":null,"funder_award_id":"20FP-1_151073","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2965557428.pdf","grobid_xml":"https://content.openalex.org/works/W2965557428.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W210359992","https://openalex.org/W658512522","https://openalex.org/W1484412996","https://openalex.org/W1512433290","https://openalex.org/W1657394249","https://openalex.org/W1909392995","https://openalex.org/W1974086818","https://openalex.org/W1980505208","https://openalex.org/W1989078566","https://openalex.org/W2001613283","https://openalex.org/W2002663556","https://openalex.org/W2003410902","https://openalex.org/W2033817741","https://openalex.org/W2044613770","https://openalex.org/W2068803298","https://openalex.org/W2078397124","https://openalex.org/W2084257532","https://openalex.org/W2095209196","https://openalex.org/W2099267803","https://openalex.org/W2102019642","https://openalex.org/W2103300762","https://openalex.org/W2106378689","https://openalex.org/W2110874571","https://openalex.org/W2140675055","https://openalex.org/W2149213383","https://openalex.org/W2153025396","https://openalex.org/W2153058280","https://openalex.org/W2158537680","https://openalex.org/W2162438244","https://openalex.org/W2164912307","https://openalex.org/W2190571016","https://openalex.org/W2333561218","https://openalex.org/W2547849178","https://openalex.org/W2579955770","https://openalex.org/W2585734711","https://openalex.org/W2883797206","https://openalex.org/W2951736150","https://openalex.org/W2963855280","https://openalex.org/W4255783720","https://openalex.org/W6628955290","https://openalex.org/W6636873712"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W3188285573","https://openalex.org/W2181743346","https://openalex.org/W2901064996","https://openalex.org/W2187401768","https://openalex.org/W2032113224","https://openalex.org/W3107575499","https://openalex.org/W1964749215"],"abstract_inverted_index":{"In":[0,66],"a":[1,34,60,79,124,132,140,169,182,203,208,230,235],"variety":[2],"of":[3,33,39,47,114,127,139,153,172,190,210,225],"fields,":[4],"in":[5,82,105,238],"particular":[6],"those":[7],"involving":[8],"imaging":[9,90],"and":[10,91,159,206,217],"optics,":[11],"we":[12,69,109,130,149,197,221],"often":[13],"measure":[14],"signals":[15],"whose":[16],"phase":[17,31,53,102],"is":[18,56,78],"missing":[19],"or":[20],"has":[21],"been":[22],"irremediably":[23],"distorted.":[24],"Phase":[25],"retrieval":[26,54,103],"attempts":[27],"to":[28,43,58,74,118,212],"recover":[29,150,168],"the":[30,37,45,48,52,71,101,111,120,137,144,151,154,160,173,179,188,195,223,226],"information":[32],"signal":[35,61,73,180],"from":[36,62,123],"magnitude":[38],"its":[40,63,191,199,214],"Fourier":[41],"transform":[42],"enable":[44],"reconstruction":[46],"original":[49,72],"signal.":[50],"Solving":[51],"problem":[55,104],"equivalent":[57],"recovering":[59],"auto-correlation":[64,121,146,162],"function.":[65,163],"this":[67,77],"paper,":[68],"assume":[70],"be":[75],"sparse;":[76],"natural":[80],"assumption":[81],"many":[83],"applications,":[84],"such":[85],"as":[86],"X-ray":[87],"crystallography,":[88],"speckle":[89],"blind":[92],"channel":[93],"estimation.":[94],"We":[95],"propose":[96,207],"an":[97],"algorithm":[98,134,177,237],"that":[99,135,167],"resolves":[100],"three":[106],"stages,":[107],"first,":[108],"leverage":[110],"finite":[112],"rate":[113],"innovation":[115],"sampling":[116],"theory":[117],"super-resolve":[119],"function":[122],"limited":[125],"number":[126],"samples,":[128],"second,":[129],"design":[131],"greedy":[133],"identifies":[136],"locations":[138,158],"sparse":[141],"solution":[142],"given":[143,156],"super-resolved":[145],"function,":[147],"finally,":[148],"amplitudes":[152],"atoms":[155],"their":[157],"measured":[161],"Unlike":[164],"traditional":[165],"approaches":[166],"discrete":[170],"approximation":[171],"underlying":[174],"signal,":[175],"our":[176],"estimates":[178],"on":[181],"continuous":[183],"domain,":[184],"which":[185],"makes":[186],"it":[187],"first":[189],"kind.":[192],"Along":[193],"with":[194,202],"algorithm,":[196],"derive":[198],"performance":[200],"bound":[201],"theoretical":[204],"analysis":[205],"set":[209],"enhancements":[211],"improve":[213],"computational":[215],"complexity":[216],"noise":[218],"resilience.":[219],"Finally,":[220],"demonstrate":[222],"benefits":[224],"proposed":[227],"method":[228],"via":[229],"comparison":[231],"against":[232],"Charge":[233],"Flipping,":[234],"notable":[236],"crystallography.":[239]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
