{"id":"https://openalex.org/W2124762203","doi":"https://doi.org/10.1109/tgrs.2011.2172446","title":"Empirical Interferometric Phase Variance Formulas for Bathymetric Applications","display_name":"Empirical Interferometric Phase Variance Formulas for Bathymetric Applications","publication_year":2011,"publication_date":"2011-12-05","ids":{"openalex":"https://openalex.org/W2124762203","doi":"https://doi.org/10.1109/tgrs.2011.2172446","mag":"2124762203"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2011.2172446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2011.2172446","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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 Geoscience and Remote Sensing","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/A5038270119","display_name":"Christophe Sint\u00e8s","orcid":"https://orcid.org/0000-0003-4422-878X"},"institutions":[{"id":"https://openalex.org/I4210139374","display_name":"Satimo (France)","ror":"https://ror.org/03ex1m609","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210139374"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210145102","https://openalex.org/I4210159245","https://openalex.org/I4412460332"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christophe Sintes","raw_affiliation_strings":["Telecom Bretagne, Image and Information Processing Department, CNRS Lab-STICC/CID, Technop\u00f4le Brest-Iroise, Brest, France","Lab-STICC_TB_CID_TOMS (France)","ITI - D\u00e9partement Image et Traitement Information (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)"],"affiliations":[{"raw_affiliation_string":"Telecom Bretagne, Image and Information Processing Department, CNRS Lab-STICC/CID, Technop\u00f4le Brest-Iroise, Brest, France","institution_ids":["https://openalex.org/I4210123702","https://openalex.org/I161929037","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Lab-STICC_TB_CID_TOMS (France)","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I4210123702"]},{"raw_affiliation_string":"ITI - D\u00e9partement Image et Traitement Information (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","institution_ids":["https://openalex.org/I4210139374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109231779","display_name":"Gerard Llort-Pujol","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139374","display_name":"Satimo (France)","ror":"https://ror.org/03ex1m609","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210139374"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210145102","https://openalex.org/I4210159245","https://openalex.org/I4412460332"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gerard Llort-Pujol","raw_affiliation_strings":["Telecom Bretagne, Image and Information Processing Department, CNRS Lab-STICC/CID, Technop\u00f4le Brest-Iroise, Brest, France","ITI - D\u00e9partement Image et Traitement Information (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)"],"affiliations":[{"raw_affiliation_string":"Telecom Bretagne, Image and Information Processing Department, CNRS Lab-STICC/CID, Technop\u00f4le Brest-Iroise, Brest, France","institution_ids":["https://openalex.org/I4210123702","https://openalex.org/I161929037","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ITI - D\u00e9partement Image et Traitement Information (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","institution_ids":["https://openalex.org/I4210139374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038270119"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I161929037","https://openalex.org/I4210123702","https://openalex.org/I4210139374"],"apc_list":null,"apc_paid":null,"fwci":0.8531,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76257316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"50","issue":"6","first_page":"2079","last_page":"2097"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11698","display_name":"Underwater Acoustics Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11698","display_name":"Underwater Acoustics Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7483083009719849},{"id":"https://openalex.org/keywords/bathymetry","display_name":"Bathymetry","score":0.574224591255188},{"id":"https://openalex.org/keywords/interferometry","display_name":"Interferometry","score":0.5525099635124207},{"id":"https://openalex.org/keywords/sonar","display_name":"Sonar","score":0.5426471829414368},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47466614842414856},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4176506996154785},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.41530242562294006},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41318970918655396},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.41026103496551514},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3872012495994568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32941365242004395},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29373815655708313},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.2625187933444977},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.22216752171516418},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.20385298132896423},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16915884613990784}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7483083009719849},{"id":"https://openalex.org/C174943157","wikidata":"https://www.wikidata.org/wiki/Q810826","display_name":"Bathymetry","level":2,"score":0.574224591255188},{"id":"https://openalex.org/C166689943","wikidata":"https://www.wikidata.org/wiki/Q850283","display_name":"Interferometry","level":2,"score":0.5525099635124207},{"id":"https://openalex.org/C555745239","wikidata":"https://www.wikidata.org/wiki/Q133220","display_name":"Sonar","level":2,"score":0.5426471829414368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47466614842414856},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4176506996154785},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.41530242562294006},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41318970918655396},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.41026103496551514},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3872012495994568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32941365242004395},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29373815655708313},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.2625187933444977},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.22216752171516418},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.20385298132896423},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16915884613990784},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tgrs.2011.2172446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2011.2172446","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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 Geoscience and Remote Sensing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00724722v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00724722","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing, 2012, 50 (6), pp.2079 - 2097. &#x27E8;10.1109/TGRS.2011.2172446&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W76384287","https://openalex.org/W250076511","https://openalex.org/W1536598668","https://openalex.org/W1550836431","https://openalex.org/W1557048706","https://openalex.org/W1667165204","https://openalex.org/W1765369462","https://openalex.org/W1965392255","https://openalex.org/W1973335304","https://openalex.org/W1974307612","https://openalex.org/W2007196190","https://openalex.org/W2037095848","https://openalex.org/W2042020446","https://openalex.org/W2045638068","https://openalex.org/W2070143703","https://openalex.org/W2100199012","https://openalex.org/W2102055052","https://openalex.org/W2104823536","https://openalex.org/W2106812384","https://openalex.org/W2107416928","https://openalex.org/W2110628907","https://openalex.org/W2120062331","https://openalex.org/W2133092242","https://openalex.org/W2142020225","https://openalex.org/W2149168970","https://openalex.org/W2152012906","https://openalex.org/W2163599171","https://openalex.org/W2165709293","https://openalex.org/W2302006054","https://openalex.org/W2495940611","https://openalex.org/W3016843226","https://openalex.org/W3133603318","https://openalex.org/W4210572675","https://openalex.org/W4285719527","https://openalex.org/W4299945311","https://openalex.org/W6633115112","https://openalex.org/W6638091834"],"related_works":["https://openalex.org/W2184765375","https://openalex.org/W2793357704","https://openalex.org/W4386617716","https://openalex.org/W773765100","https://openalex.org/W4313058144","https://openalex.org/W3152163876","https://openalex.org/W2738763808","https://openalex.org/W1972630154","https://openalex.org/W2351842833","https://openalex.org/W1993199764"],"abstract_inverted_index":{"Current":[0],"sonar":[1],"and":[2,56,60,120,206],"radar":[3],"applications":[4],"use":[5],"interferometry":[6],"to":[7,38,155,162,197],"estimate":[8],"the":[9,31,40,44,51,61,64,67,77,106,114,124,128,142,146,212,216,220],"arrival":[10],"angles":[11],"of":[12,43,66,76,102,108,126,130,141,167,184,215,222],"backscattered":[13],"signals.":[14],"This":[15,48,182],"direction-finding":[16],"method":[17],"is":[18,36,95,105,134,179,189,209,227],"based":[19,135],"on":[20,136],"a":[21,72,137,164],"phase-difference":[22],"measurement":[23],"between":[24,53,204],"two":[25,224],"close":[26],"receiving":[27],"arrays.":[28],"To":[29],"model":[30],"associated":[32],"bathymetric":[33,54],"error,":[34],"it":[35,159],"necessary":[37,161],"know":[39],"second-order":[41,69],"moment":[42],"interferometric":[45,57,78],"phase":[46,58,68,79,147],"estimator.":[47],"paper":[49,104],"explains":[50],"connection":[52],"variance":[55,59,111],"difficulty":[62],"in":[63,97,117],"evaluation":[65],"estimation.":[70],"Thus,":[71],"brief":[73],"statistical":[74,225],"overview":[75],"estimator":[80,148],"for":[81,89,145,171],"fully":[82],"developed":[83],"speckle":[84],"signals":[85,208],"(called":[86],"here":[87],"RMPC":[88,199,205],"random":[90],"modulus":[91,173,178],"partially":[92,174],"correlated":[93,175],"signals)":[94],"introduced":[96],"this":[98,103],"paper.":[99],"The":[100,202],"focus":[101],"derivation":[107],"simple":[109],"empirical":[110,132,200],"that":[112],"matches":[113],"exact":[115],"values":[116],"both":[118],"single-look":[119],"multilook":[121],"cases.":[122],"For":[123],"sake":[125],"constituency,":[127],"construction":[129],"these":[131,157,223],"approximations":[133],"modified":[138],"asymptotic":[139],"expression":[140],"second":[143],"order":[144,154],"assuming":[149],"high":[150],"signal-to-noise":[151],"ratio.":[152],"In":[153],"perform":[156],"derivations,":[158],"appears":[160,192],"introduce":[163],"new":[165],"kind":[166],"signal":[168,217],"(namely,":[169],"CMPC":[170,207],"constant":[172],"signal)":[176],"whose":[177,186],"assumed":[180],"constant.":[181],"family":[183],"signals,":[185],"physical":[187],"existence":[188,221],"also":[190],"investigated,":[191],"as":[193],"an":[194],"alternative":[195],"way":[196],"derive":[198],"formulas.":[201],"link":[203],"established":[210],"through":[211],"conditional":[213],"expectation":[214],"modulus.":[218],"Finally,":[219],"behaviors":[226],"tested":[228],"over":[229],"real":[230],"underwater":[231],"data.":[232]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
