{"id":"https://openalex.org/W1616841346","doi":"https://doi.org/10.1109/icassp.1987.1169328","title":"Almost unique specification of discrete finite length signal: From its end point and Fourier transform magnitude","display_name":"Almost unique specification of discrete finite length signal: From its end point and Fourier transform magnitude","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W1616841346","doi":"https://doi.org/10.1109/icassp.1987.1169328","mag":"1616841346"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1987.1169328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1987.1169328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5081802824","display_name":"Lei Xu","orcid":"https://orcid.org/0000-0001-9071-4311"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Xu","raw_affiliation_strings":["Department of Automation, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102060813","display_name":"Pingfan Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingfan Yan","raw_affiliation_strings":["Department of Automation, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113664747","display_name":"Tong Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Chang","raw_affiliation_strings":["Department of Automation, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.20192308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2097","last_page":"2100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9948999881744385,"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"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/magnitude","display_name":"Magnitude (astronomy)","score":0.7952530980110168},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5918775796890259},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5715575814247131},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.5588102340698242},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4847652316093445},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4777999520301819},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4273565709590912},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4061029553413391},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.39114201068878174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3889124095439911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38584327697753906},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25294458866119385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25211280584335327},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.18634480237960815},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18267837166786194},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.09400829672813416}],"concepts":[{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.7952530980110168},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5918775796890259},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5715575814247131},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.5588102340698242},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4847652316093445},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4777999520301819},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4273565709590912},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4061029553413391},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.39114201068878174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3889124095439911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38584327697753906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25294458866119385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25211280584335327},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.18634480237960815},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18267837166786194},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.09400829672813416},{"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1987.1169328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1987.1169328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1895539986","https://openalex.org/W1994815484","https://openalex.org/W2062431656","https://openalex.org/W2090963365","https://openalex.org/W2168274102","https://openalex.org/W4299512035","https://openalex.org/W6639378979"],"related_works":["https://openalex.org/W1984031140","https://openalex.org/W2516295475","https://openalex.org/W2034082304","https://openalex.org/W81470468","https://openalex.org/W2766639751","https://openalex.org/W1964268922","https://openalex.org/W4353087863","https://openalex.org/W1968864649","https://openalex.org/W2066908446","https://openalex.org/W2768366820"],"abstract_inverted_index":{"In":[0,96],"this":[1],"paper,":[2],"the":[3,48,75],"reconstruction":[4],"of":[5,27,32,50,67,92],"discrete":[6,33,63,99],"signal":[7,34,100],"with":[8,47,65,101],"finite":[9,102],"time":[10,103],"duration":[11,66,104],"from":[12,38,81,110],"its":[13,39,82,111],"end":[14,44,83,112],"point":[15,55,84,113],"and":[16,42,62,74,85,114],"Fourier":[17],"Transform":[18],"(FT)":[19],"magnitude":[20,41,87],"is":[21],"considered.":[22],"Based":[23],"on":[24],"one":[25,43],"result":[26],"[1]":[28],"that":[29,57,77],"a":[30,58,90],"class":[31],"can":[35,70,105],"be":[36,71,79,107],"reconstructed":[37,80,109],"FT":[40,86,115],"sample":[45],"point,":[46],"help":[49],"Measure":[51],"Theory,":[52],"furtherly":[53],"we":[54],"out":[56],"correspondence":[59],"between":[60],"RN+1space":[61],"signals":[64,76],"N+1":[68],"points":[69],"set":[72],"up,":[73],"can't":[78],"correspond":[88],"to":[89],"subset":[91],"RN+1with":[93],"measure":[94],"zero.":[95],"other":[97],"words,":[98],"almost":[106],"uniquely":[108],"magnitude.":[116]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
