{"id":"https://openalex.org/W1998310396","doi":"https://doi.org/10.1109/tsp.2010.2088392","title":"The Synchronized Short-Time-Fourier-Transform: Properties and Definitions for Multichannel Source Separation","display_name":"The Synchronized Short-Time-Fourier-Transform: Properties and Definitions for Multichannel Source Separation","publication_year":2010,"publication_date":"2010-10-20","ids":{"openalex":"https://openalex.org/W1998310396","doi":"https://doi.org/10.1109/tsp.2010.2088392","mag":"1998310396"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2088392","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2088392","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":true,"oa_status":"green","oa_url":"https://arrow.tudublin.ie/cgi/viewcontent.cgi?article=1234&context=engscheleart2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022040369","display_name":"Ruair\u00ed de Fr\u00e9in","orcid":"https://orcid.org/0000-0002-3912-1470"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Ruair\u00ed de Frein","raw_affiliation_strings":["Sparse Signal Processing Group, University College Dublin, Dublin, Ireland","Sparse Signal Process. Group, Univ. Coll. Dublin, Dublin, Ireland"],"affiliations":[{"raw_affiliation_string":"Sparse Signal Processing Group, University College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"Sparse Signal Process. Group, Univ. Coll. Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055788989","display_name":"Scott Rickard","orcid":null},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Scott T. Rickard","raw_affiliation_strings":["Sparse Signal Processing Group, University College Dublin, Dublin, Ireland","Sparse Signal Process. Group, Univ. Coll. Dublin, Dublin, Ireland"],"affiliations":[{"raw_affiliation_string":"Sparse Signal Processing Group, University College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"Sparse Signal Process. Group, Univ. Coll. Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022040369"],"corresponding_institution_ids":["https://openalex.org/I100930933"],"apc_list":null,"apc_paid":null,"fwci":1.0145,"has_fulltext":true,"cited_by_count":53,"citation_normalized_percentile":{"value":0.74869808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"59","issue":"1","first_page":"91","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T10860","display_name":"Speech and Audio Processing","score":0.9990000128746033,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6088516116142273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5846917629241943},{"id":"https://openalex.org/keywords/constant-q-transform","display_name":"Constant Q transform","score":0.5668153166770935},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.5584741830825806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5474454164505005},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.5266145467758179},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.5147476196289062},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.48121145367622375},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4608366787433624},{"id":"https://openalex.org/keywords/source-separation","display_name":"Source separation","score":0.4478265047073364},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.4478147029876709},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.43718183040618896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36041608452796936},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.2827902138233185},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.233050137758255},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18883532285690308},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.18746337294578552},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12141811847686768},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1029863953590393},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.09242454171180725},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.08621889352798462},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.08223602175712585}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6088516116142273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5846917629241943},{"id":"https://openalex.org/C153705960","wikidata":"https://www.wikidata.org/wiki/Q5163634","display_name":"Constant Q transform","level":5,"score":0.5668153166770935},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.5584741830825806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5474454164505005},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.5266145467758179},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.5147476196289062},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.48121145367622375},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4608366787433624},{"id":"https://openalex.org/C2776864781","wikidata":"https://www.wikidata.org/wiki/Q52617913","display_name":"Source separation","level":2,"score":0.4478265047073364},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.4478147029876709},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.43718183040618896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36041608452796936},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.2827902138233185},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.233050137758255},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18883532285690308},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.18746337294578552},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12141811847686768},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1029863953590393},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.09242454171180725},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.08621889352798462},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.08223602175712585},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2010.2088392","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2088392","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"},{"id":"pmh:oai:arrow.tudublin.ie:engscheleart2-1234","is_oa":true,"landing_page_url":"https://arrow.tudublin.ie/engscheleart2/207","pdf_url":"https://arrow.tudublin.ie/cgi/viewcontent.cgi?article=1234&context=engscheleart2","source":{"id":"https://openalex.org/S4377196307","display_name":"Arrow - TU Dublin (Technological University Dublin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210144925","host_organization_name":"Technological University Dublin","host_organization_lineage":["https://openalex.org/I4210144925"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Articles","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arrow.tudublin.ie:engscheleart2-1234","is_oa":true,"landing_page_url":"https://arrow.tudublin.ie/engscheleart2/207","pdf_url":"https://arrow.tudublin.ie/cgi/viewcontent.cgi?article=1234&context=engscheleart2","source":{"id":"https://openalex.org/S4377196307","display_name":"Arrow - TU Dublin (Technological University Dublin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210144925","host_organization_name":"Technological University Dublin","host_organization_lineage":["https://openalex.org/I4210144925"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Articles","raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.5899999737739563,"display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G7940935017","display_name":null,"funder_award_id":"05/YI2/I677","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998310396.pdf","grobid_xml":"https://content.openalex.org/works/W1998310396.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W141203745","https://openalex.org/W1565383065","https://openalex.org/W1766888123","https://openalex.org/W1872350411","https://openalex.org/W1956364622","https://openalex.org/W1987906574","https://openalex.org/W2046317813","https://openalex.org/W2049349100","https://openalex.org/W2073856445","https://openalex.org/W2077626982","https://openalex.org/W2096855653","https://openalex.org/W2103519107","https://openalex.org/W2105008888","https://openalex.org/W2111460811","https://openalex.org/W2113638573","https://openalex.org/W2116766578","https://openalex.org/W2118718620","https://openalex.org/W2128131274","https://openalex.org/W2129171989","https://openalex.org/W2129707178","https://openalex.org/W2133124221","https://openalex.org/W2135817141","https://openalex.org/W2140318696","https://openalex.org/W2155595938","https://openalex.org/W2160502247","https://openalex.org/W2166458192","https://openalex.org/W2259393421","https://openalex.org/W2287068643","https://openalex.org/W2547588342","https://openalex.org/W3161439748","https://openalex.org/W6640823206","https://openalex.org/W6677759377","https://openalex.org/W6679759322","https://openalex.org/W6680770193","https://openalex.org/W6692673157"],"related_works":["https://openalex.org/W2805281296","https://openalex.org/W2361804542","https://openalex.org/W2382006996","https://openalex.org/W2145347114","https://openalex.org/W2153106510","https://openalex.org/W2024392531","https://openalex.org/W2156709824","https://openalex.org/W2070232159","https://openalex.org/W2360044138","https://openalex.org/W2386019069"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"the":[3,10,22,26,36,48,79,91,110,116,119,138,151],"use":[4],"of":[5,17,25,44,109,137],"a":[6,42,53,124],"synchronized":[7,11],"linear":[8,30,49],"transform,":[9],"short-time-Fourier-transform":[12,38],"(sSTFT),":[13],"for":[14,47,103],"time-frequency":[15,29,80,139],"analysis":[16,117],"anechoic":[18],"mixtures.":[19],"We":[20,40],"address":[21],"short":[23],"comings":[24],"commonly":[27],"used":[28,51],"transform":[31,50,140],"in":[32,52,78,95,128,159],"multichannel":[33,54,92,104],"settings,":[34],"namely":[35],"classical":[37],"(cSTFT).":[39],"propose":[41],"series":[43],"desirable":[45],"properties":[46,93,136],"source":[55,73],"separation":[56,74,129],"scenario:":[57],"stationary":[58],"invertibility,":[59],"relative":[60,62,68,156],"delay,":[61],"attenuation,":[63],"and":[64,163],"finally":[65],"delay":[66],"invariant":[67],"windowed-disjoint":[69],"orthogonality":[70],"(DIRWDO).":[71],"Multisensor":[72],"techniques":[75],"which":[76],"operate":[77],"domain,":[81],"have":[82],"an":[83],"inherent":[84],"error":[85],"unless":[86],"consideration":[87],"is":[88,112,145],"given":[89],"to":[90,113,118,123],"proposed":[94],"this":[96],"paper.":[97],"The":[98,106],"sSTFT":[99,111,152],"preserves":[100],"these":[101],"relationships":[102],"data.":[105],"crucial":[107],"innovation":[108],"locally":[114],"synchronize":[115],"observations":[120],"as":[121],"opposed":[122],"global":[125],"clock.":[126],"Improvement":[127],"performance":[130],"can":[131],"be":[132],"achieved":[133],"because":[134],"assumed":[135],"are":[141],"satisfied":[142],"when":[143],"it":[144],"appropriately":[146],"synchronized.":[147],"Numerical":[148],"experiments":[149],"show":[150],"improves":[153],"instantaneous":[154],"subsample":[155],"parameter":[157],"estimation":[158],"low":[160],"noise":[161],"conditions":[162],"achieves":[164],"good":[165],"synthesis.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}
