乐胖代购免代理版

{"id":"https://openalex.org/W2130681819","doi":"https://doi.org/10.1109/78.564174","title":"Discrete Zak transforms, polyphase transforms, and applications","display_name":"Discrete Zak transforms, polyphase transforms, and applications","publication_year":1997,"publication_date":"1997-04-01","ids":{"openalex":"https://openalex.org/W2130681819","doi":"https://doi.org/10.1109/78.564174","mag":"2130681819"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.564174","pdf_url":null,"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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://publik.tuwien.ac.at/files/pub-et_3333.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079321311","display_name":"Helmut B\u00f6lcskei","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088715","display_name":"FH Campus Wien","ror":"https://ror.org/003f4pg83","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210088715"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"H. Bolcskei","raw_affiliation_strings":["Wien Univ., Austria"],"affiliations":[{"raw_affiliation_string":"Wien Univ., Austria","institution_ids":["https://openalex.org/I4210088715"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036535440","display_name":"Franz Hlawatsch","orcid":"https://orcid.org/0000-0001-9010-9285"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"funder","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"F. Hlawatsch","raw_affiliation_strings":["[INTHFT, University of Technology, Vienna, Vienna, Austria]"],"affiliations":[{"raw_affiliation_string":"[INTHFT, University of Technology, Vienna, Vienna, Austria]","institution_ids":["https://openalex.org/I145847075"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.928,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":94,"citation_normalized_percentile":{"value":0.954633,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"45","issue":"4","first_page":"851","last_page":"866"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.999,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9918,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polyphase-system","display_name":"Polyphase system","score":0.843114},{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.7938181},{"id":"https://openalex.org/keywords/filter-bank","display_name":"Filter bank","score":0.68837273},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.421503}],"concepts":[{"id":"https://openalex.org/C96157337","wikidata":"https://www.wikidata.org/wiki/Q391639","display_name":"Polyphase system","level":2,"score":0.843114},{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.7938181},{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.68837273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6305212},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.58494925},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.54471457},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.43042952},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.421503},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.38808864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38469926},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.34922838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.349042},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34175456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29049927},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.28999949},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.20753011},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.1507093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10561693},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09887794},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0950709},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08828324},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07977685},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.564174","pdf_url":null,"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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.4159","pdf_url":"http://publik.tuwien.ac.at/files/pub-et_3333.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.4159","pdf_url":"http://publik.tuwien.ac.at/files/pub-et_3333.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":73,"referenced_works":["https://openalex.org/W112573943","https://openalex.org/W1481424961","https://openalex.org/W1481646516","https://openalex.org/W1488966929","https://openalex.org/W1497552356","https://openalex.org/W1546509353","https://openalex.org/W1588513474","https://openalex.org/W163914653","https://openalex.org/W1766888123","https://openalex.org/W1966442934","https://openalex.org/W1968249360","https://openalex.org/W1970723625","https://openalex.org/W1973119332","https://openalex.org/W1975461858","https://openalex.org/W1979303800","https://openalex.org/W1991701719","https://openalex.org/W1992505003","https://openalex.org/W2011869890","https://openalex.org/W2014846693","https://openalex.org/W2023871577","https://openalex.org/W2023907940","https://openalex.org/W2028323766","https://openalex.org/W2029680709","https://openalex.org/W2029728802","https://openalex.org/W2032049628","https://openalex.org/W2032846890","https://openalex.org/W2033570251","https://openalex.org/W2036724129","https://openalex.org/W2038763524","https://openalex.org/W2044350368","https://openalex.org/W2052017042","https://openalex.org/W2062024414","https://openalex.org/W2065366926","https://openalex.org/W2069929793","https://openalex.org/W2070918986","https://openalex.org/W2072671582","https://openalex.org/W2072867014","https://openalex.org/W2083446386","https://openalex.org/W2087377426","https://openalex.org/W2091725015","https://openalex.org/W2092128121","https://openalex.org/W2094704098","https://openalex.org/W2100276046","https://openalex.org/W2101789093","https://openalex.org/W2103620128","https://openalex.org/W2115347601","https://openalex.org/W2118799423","https://openalex.org/W2125505191","https://openalex.org/W2125851658","https://openalex.org/W2126556281","https://openalex.org/W2126777570","https://openalex.org/W2127404108","https://openalex.org/W2130102558","https://openalex.org/W2130331495","https://openalex.org/W2134302011","https://openalex.org/W2134524318","https://openalex.org/W2141572998","https://openalex.org/W2152717663","https://openalex.org/W2155165663","https://openalex.org/W2158656251","https://openalex.org/W2161298425","https://openalex.org/W2164890883","https://openalex.org/W2171902986","https://openalex.org/W28633752","https://openalex.org/W2973818247","https://openalex.org/W3161439748","https://openalex.org/W39986554","https://openalex.org/W4229951323","https://openalex.org/W4241850875","https://openalex.org/W4242359720","https://openalex.org/W4242717957","https://openalex.org/W4255272544","https://openalex.org/W4301036370"],"related_works":["https://openalex.org/W4231678179","https://openalex.org/W2950739756","https://openalex.org/W2752674986","https://openalex.org/W2587934350","https://openalex.org/W2537414839","https://openalex.org/W2514335647","https://openalex.org/W2199954716","https://openalex.org/W2064784059","https://openalex.org/W1980778204","https://openalex.org/W1503981845"],"abstract_inverted_index":{"We":[0,59],"consider":[1],"three":[2,69],"different":[3],"versions":[4],"of":[5,33,67,77,123,138,146],"the":[6,15,18,31,34,38,43,68,82,86,103,121,136,139,143],"Zak":[7],"(1967)":[8],"transform":[9,65],"(ZT)":[10],"for":[11,92,107],"discrete-time":[12,16,35,83,93],"signals,":[13],"namely,":[14],"ZT,":[17],"polyphase":[19,44,114],"transform,":[20,45],"and":[21,48,55,64,73,85,110,153],"a":[22,117],"cyclic":[23,87],"discrete":[24,70,88,140],"ZT.":[25],"In":[26,80],"particular,":[27,81],"we":[28,74],"show":[29],"that":[30],"extension":[32],"ZT":[36,71,84,89,141],"to":[37,134,142],"complex":[39],"z-plane":[40],"results":[41,131],"in":[42,51,120],"an":[46],"important":[47,91],"well-known":[49],"concept":[50],"multirate":[52],"signal":[53],"processing":[54],"filter":[56,124,128],"bank":[57],"theory.":[58],"discuss":[60],"fundamental":[61,118],"properties,":[62],"relations,":[63],"pairs":[66],"versions,":[72],"summarize":[75],"applications":[76],"these":[78],"transforms.":[79],"are":[90,132],"Gabor":[94,148,151],"(1946)":[95],"expansion":[96],"(Weyl-Heisenberg":[97],"frame)":[98],"theory":[99,122],"since":[100],"they":[101],"diagonalize":[102],"Weyl-Heisenberg":[104],"frame":[105,154],"operator":[106],"critical":[108],"sampling":[109],"integer":[111],"oversampling.":[112],"The":[113],"representation":[115],"plays":[116],"role":[119],"banks,":[125],"especially":[126],"DFT":[127],"banks.":[129],"Simulation":[130],"presented":[133],"demonstrate":[135],"application":[137],"efficient":[144],"calculation":[145],"dual":[147],"windows,":[149,152],"tight":[150],"bounds.":[155]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2130681819","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2025-04-16T08:38:39.292776","created_date":"2016-06-24"}