{"id":"https://openalex.org/W4285293979","doi":"https://doi.org/10.1109/tsp.2022.3190615","title":"Binary Signal Perfect Recovery From Partial DFT Coefficients","display_name":"Binary Signal Perfect Recovery From Partial DFT Coefficients","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4285293979","doi":"https://doi.org/10.1109/tsp.2022.3190615"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2022.3190615","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3190615","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_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 Signal Processing","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/A5085279585","display_name":"Soo\u2010Chang Pei","orcid":"https://orcid.org/0000-0003-2448-4196"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Soo-Chang Pei","raw_affiliation_strings":["Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-2448-4196","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054825387","display_name":"Kuo-Wei Chang","orcid":"https://orcid.org/0000-0002-5987-6862"},"institutions":[{"id":"https://openalex.org/I92172085","display_name":"Chunghwa Telecom (Taiwan)","ror":"https://ror.org/04f786589","country_code":"TW","type":"company","lineage":["https://openalex.org/I92172085"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kuo-Wei Chang","raw_affiliation_strings":["Telecommunication Laboratories, Chunghwa Telecom Company Ltd, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-5987-6862","affiliations":[{"raw_affiliation_string":"Telecommunication Laboratories, Chunghwa Telecom Company Ltd, Taipei, Taiwan","institution_ids":["https://openalex.org/I92172085"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3251,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.50992741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"70","issue":null,"first_page":"3848","last_page":"3861"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9986000061035156,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9980000257492065,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9976000189781189,"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/notation","display_name":"Notation","score":0.7375888228416443},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7318588495254517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7311543226242065},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5579137206077576},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4447430372238159},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34340816736221313},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2608337998390198},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.23117202520370483}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7375888228416443},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7318588495254517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7311543226242065},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5579137206077576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4447430372238159},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34340816736221313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2608337998390198},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.23117202520370483}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2022.3190615","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3190615","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_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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5351557873","display_name":"Graph Signal Analysis and Graph Filter Bank Design","funder_award_id":"MOST108-2221-E002-039-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1662624818","https://openalex.org/W1964186194","https://openalex.org/W1995875735","https://openalex.org/W2025079166","https://openalex.org/W2027906720","https://openalex.org/W2031614119","https://openalex.org/W2033049991","https://openalex.org/W2036794347","https://openalex.org/W2061171222","https://openalex.org/W2088534753","https://openalex.org/W2106967375","https://openalex.org/W2119349413","https://openalex.org/W2127264496","https://openalex.org/W2127271355","https://openalex.org/W2134069026","https://openalex.org/W2136035821","https://openalex.org/W2140196014","https://openalex.org/W2141423311","https://openalex.org/W2152262720","https://openalex.org/W2163041151","https://openalex.org/W2549082795","https://openalex.org/W2573726823","https://openalex.org/W2793721892","https://openalex.org/W2904838066","https://openalex.org/W2963322354","https://openalex.org/W3083453848","https://openalex.org/W3107853093","https://openalex.org/W4240627487"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2038812594","https://openalex.org/W38661524","https://openalex.org/W2359118052","https://openalex.org/W2031152868","https://openalex.org/W2809374263","https://openalex.org/W2592261830","https://openalex.org/W2982347821","https://openalex.org/W2374829073","https://openalex.org/W2962833349"],"abstract_inverted_index":{"How":[0],"to":[1,122,136],"perfectly":[2,123],"recover":[3,124],"a":[4,21,101],"binary":[5,126],"signal":[6,56,75],"from":[7],"its":[8],"discrete":[9,138],"Fourier":[10],"transform":[11],"(DFT)":[12],"coefficients":[13,45,63,121],"is":[14,34,80,106],"studied.":[15],"The":[16,29],"theoretic":[17],"lower":[18],"bound":[19,89],"and":[20,27,82,109,141,143],"practical":[22,103],"recovery":[23,78,104],"strategy":[24],"are":[25],"derived":[26],"developed.":[28],"concept":[30,132],"of":[31,38,71,73,117,133],"ambiguity":[32,134],"pair":[33,37,135],"introduced.":[35],"This":[36],"signals":[39],"has":[40],"almost":[41],"the":[42,55,69,74,87,97,118,125,131],"same":[43],"DFT":[44,120,145],"except":[46],"for":[47,90],"some":[48],"positions.":[49],"It":[50,84],"can":[51,85,114],"prove":[52],"that":[53],"when":[54],"length":[57,98],"is$N$,":[58],"then":[59],"at":[60],"least$\\tau":[61],"(N)$DFT":[62],"must":[64],"be":[65],"sampled,":[66],"where$\\tau":[67],"(N)$is":[68],"number":[70],"factors":[72],"length$N$.":[76],"A":[77],"algorithm":[79],"proposed":[81,108],"implemented.":[83],"achieve":[86],"lowed":[88],"length$N=2^{m},":[91],"m":[92],"\\leq":[93],"6$.":[94],"To":[95],"overcome":[96],"limitation":[99],"problem,":[100],"more":[102],"method":[105],"also":[107,129],"implemented":[110],"for$N=2^{m},":[111],"m&gt;6$.":[112],"We":[113,128],"sample":[115],"11&#x0025;":[116],"total":[119],"signal.":[127],"extend":[130],"other":[137],"transforms":[139],"(DCT":[140],"WHT)":[142],"two-dimensional":[144],"cases.":[146]},"counts_by_year":[{"year":2023,"cited_by_count":4}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
