{"id":"https://openalex.org/W2011671225","doi":"https://doi.org/10.1109/isccsp.2012.6217774","title":"The optimum approximation of vector-signals and estimation of the velocity of an object causing Doppler shift","display_name":"The optimum approximation of vector-signals and estimation of the velocity of an object causing Doppler shift","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W2011671225","doi":"https://doi.org/10.1109/isccsp.2012.6217774","mag":"2011671225"},"language":"en","primary_location":{"id":"doi:10.1109/isccsp.2012.6217774","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isccsp.2012.6217774","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 5th International Symposium on Communications, Control and Signal Processing","raw_type":"proceedings-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/A5103290287","display_name":"Yuichi Kida","orcid":null},"institutions":[{"id":"https://openalex.org/I30181195","display_name":"Ohu University","ror":"https://ror.org/01fe6f215","country_code":"JP","type":"education","lineage":["https://openalex.org/I30181195"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuichi Kida","raw_affiliation_strings":["The School of Pharmaceutical Sciences, Ohu University, Koriyama, Japan","The School of Pharmaceutical Sciences, Ohu University, Koriyama-Shi, Japan"],"affiliations":[{"raw_affiliation_string":"The School of Pharmaceutical Sciences, Ohu University, Koriyama, Japan","institution_ids":["https://openalex.org/I30181195"]},{"raw_affiliation_string":"The School of Pharmaceutical Sciences, Ohu University, Koriyama-Shi, Japan","institution_ids":["https://openalex.org/I30181195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111065230","display_name":"Takuro Kida","orcid":null},"institutions":[{"id":"https://openalex.org/I30181195","display_name":"Ohu University","ror":"https://ror.org/01fe6f215","country_code":"JP","type":"education","lineage":["https://openalex.org/I30181195"]},{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takuro Kida","raw_affiliation_strings":["The School of Pharmaceutical Sciences, Ohu University, Koriyama, Japan","[Tokyo Institute of Technology, Tokyo, JAPAN]"],"affiliations":[{"raw_affiliation_string":"The School of Pharmaceutical Sciences, Ohu University, Koriyama, Japan","institution_ids":["https://openalex.org/I30181195"]},{"raw_affiliation_string":"[Tokyo Institute of Technology, Tokyo, JAPAN]","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103290287"],"corresponding_institution_ids":["https://openalex.org/I30181195"],"apc_list":null,"apc_paid":null,"fwci":0.7951,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7868664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9908999800682068,"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"}},{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/linear-approximation","display_name":"Linear approximation","score":0.6292116641998291},{"id":"https://openalex.org/keywords/doppler-effect","display_name":"Doppler effect","score":0.6217280030250549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5143221616744995},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.51008540391922},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.49982738494873047},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4908019006252289},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4859960973262787},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.44585633277893066},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.44580331444740295},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.42980095744132996},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4270317256450653},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4229081869125366},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4186546802520752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4114189147949219},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3523147404193878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26307064294815063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20864999294281006},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12679749727249146},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.073635995388031}],"concepts":[{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.6292116641998291},{"id":"https://openalex.org/C142757262","wikidata":"https://www.wikidata.org/wiki/Q76436","display_name":"Doppler effect","level":2,"score":0.6217280030250549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5143221616744995},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.51008540391922},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.49982738494873047},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4908019006252289},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4859960973262787},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.44585633277893066},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.44580331444740295},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.42980095744132996},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4270317256450653},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4229081869125366},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4186546802520752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4114189147949219},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3523147404193878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26307064294815063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20864999294281006},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12679749727249146},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.073635995388031},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isccsp.2012.6217774","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isccsp.2012.6217774","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 5th International Symposium on Communications, Control and Signal Processing","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/W233593304","https://openalex.org/W1481646516","https://openalex.org/W1535749512","https://openalex.org/W2123706045","https://openalex.org/W2144366564","https://openalex.org/W2996077942","https://openalex.org/W3133713399","https://openalex.org/W4243935343","https://openalex.org/W4294559935","https://openalex.org/W6609112683","https://openalex.org/W6632381328"],"related_works":["https://openalex.org/W2046314839","https://openalex.org/W3091355678","https://openalex.org/W189995875","https://openalex.org/W2037008369","https://openalex.org/W2083813704","https://openalex.org/W2093585199","https://openalex.org/W2068084037","https://openalex.org/W1913954093","https://openalex.org/W3177870706","https://openalex.org/W2087686193"],"abstract_inverted_index":{"In":[0,30],"many":[1,50],"applications":[2],"of":[3,24,38,45,55,58,74,92,110,135],"signal":[4],"processing":[5],"such":[6],"as":[7],"target-detection":[8],"or":[9],"remote-sensing,":[10],"it":[11,95],"is":[12,96,129],"necessary":[13],"to":[14,131],"estimate":[15,132],"an":[16],"unknown":[17],"object-signal":[18],"given":[19,28,64],"by":[20,27,42,115],"a":[21,63,123,136],"linear":[22,43,84],"combination":[23],"data-signals":[25],"obtained":[26],"observation-systems.":[29],"this":[31,120],"paper,":[32],"we":[33],"present":[34],"the":[35,56,78,83,86,90,93,99,104,107,133],"optimum":[36,108],"approximation":[37,69,75,101,109,121],"signals":[39,112],"f(t)":[40,113],"expressed":[41],"combinations":[44],"extended":[46],"inverse":[47,53],"transforms,":[48,54],"including":[49],"known":[51],"mathematical":[52],"components":[57],"generalized":[59],"spectrum-vectors":[60],"F(\u03c9)":[61],"in":[62,126],"Hilbert":[65],"space.":[66],"The":[67],"presented":[68],"minimizes":[70],"various":[71],"worst-case":[72],"measures":[73],"error":[76],"at":[77,103],"same":[79,105],"time":[80],"among":[81],"all":[82],"and":[85],"nonlinear":[87],"approximations.":[88],"Through":[89],"process":[91],"proof,":[94],"shown":[97],"that":[98,119,128],"above":[100],"gives,":[102],"time,":[106],"vector":[111],"determined":[114],"F(\u03c9).":[116],"We":[117],"indicate":[118],"gives":[122],"favorable":[124],"method":[125],"Doppler-radar":[127],"useful":[130],"velocity":[134],"target":[137],"object":[138],"having":[139],"Doppler":[140],"shift.":[141]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
