{"id":"https://openalex.org/W1978501515","doi":"https://doi.org/10.1109/tsp.2013.2284479","title":"The Stationary Phase Approximation, Time-Frequency Decomposition and Auditory Processing","display_name":"The Stationary Phase Approximation, Time-Frequency Decomposition and Auditory Processing","publication_year":2013,"publication_date":"2013-10-04","ids":{"openalex":"https://openalex.org/W1978501515","doi":"https://doi.org/10.1109/tsp.2013.2284479","mag":"1978501515"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2013.2284479","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2284479","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/6678249/06620957.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/78/6678249/06620957.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076320344","display_name":"B. Mulgrew","orcid":"https://orcid.org/0000-0002-8082-2818"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Bernard Mulgrew","raw_affiliation_strings":["School of Engineering, The University of Edinburgh, Edinburgh, United Kingdom","Institute for Digital Communications, School of Engineering, The University of Edinburgh, Edinburgh, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Engineering, The University of Edinburgh, Edinburgh, United Kingdom","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"Institute for Digital Communications, School of Engineering, The University of Edinburgh, Edinburgh, United Kingdom","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076320344"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":null,"apc_paid":null,"fwci":0.6431,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.66501384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"1","first_page":"56","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","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/T10860","display_name":"Speech and Audio Processing","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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983000159263611,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9983000159263611,"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/mathematics","display_name":"Mathematics","score":0.6117127537727356},{"id":"https://openalex.org/keywords/phase-plane","display_name":"Phase plane","score":0.4951743185520172},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4856085181236267},{"id":"https://openalex.org/keywords/linear-phase","display_name":"Linear phase","score":0.455649197101593},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4385550618171692},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4361477792263031},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.43252331018447876},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33613908290863037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2790941596031189},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18781110644340515},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16609010100364685},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09984984993934631}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6117127537727356},{"id":"https://openalex.org/C157626765","wikidata":"https://www.wikidata.org/wiki/Q2088081","display_name":"Phase plane","level":3,"score":0.4951743185520172},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4856085181236267},{"id":"https://openalex.org/C20610874","wikidata":"https://www.wikidata.org/wiki/Q512136","display_name":"Linear phase","level":3,"score":0.455649197101593},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4385550618171692},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4361477792263031},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.43252331018447876},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33613908290863037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2790941596031189},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18781110644340515},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16609010100364685},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09984984993934631},{"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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsp.2013.2284479","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2284479","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/6678249/06620957.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/f9560431-b948-4939-991b-124d88de0adf","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/f9560431-b948-4939-991b-124d88de0adf","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mulgrew, B 2014, 'The Stationary Phase Approximation, Time-Frequency Decomposition and Auditory Processing', IEEE Transactions on Signal Processing, vol. 62, no. 1, pp. 56-68. https://doi.org/10.1109/TSP.2013.2284479","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1208.5919","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.5919","pdf_url":"https://arxiv.org/pdf/1208.5919","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.ed.ac.uk:publications/f9560431-b948-4939-991b-124d88de0adf","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11820/f9560431-b948-4939-991b-124d88de0adf","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1109/tsp.2013.2284479","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2284479","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/6678249/06620957.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2327784722","display_name":null,"funder_award_id":"EP/J015180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7216340628","display_name":null,"funder_award_id":"EP/J015180","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7866018786","display_name":"Sensor Signal Processing","funder_award_id":"EP/J015180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320005","display_name":"Royal Academy of Engineering","ror":"https://ror.org/0526snb40"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1978501515.pdf","grobid_xml":"https://content.openalex.org/works/W1978501515.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W139969942","https://openalex.org/W228380312","https://openalex.org/W1525535255","https://openalex.org/W1527747735","https://openalex.org/W1549490721","https://openalex.org/W1840682514","https://openalex.org/W1972950801","https://openalex.org/W1973746598","https://openalex.org/W1985865845","https://openalex.org/W1986931325","https://openalex.org/W1989605930","https://openalex.org/W2013020033","https://openalex.org/W2013454018","https://openalex.org/W2023628098","https://openalex.org/W2033708670","https://openalex.org/W2067616908","https://openalex.org/W2089716537","https://openalex.org/W2090218979","https://openalex.org/W2115755118","https://openalex.org/W2116966666","https://openalex.org/W2120221444","https://openalex.org/W2126636849","https://openalex.org/W2137508792","https://openalex.org/W2140147143","https://openalex.org/W2150738741","https://openalex.org/W2155814293","https://openalex.org/W2161087431","https://openalex.org/W2163699846","https://openalex.org/W2170706425","https://openalex.org/W3108496714","https://openalex.org/W3202700001","https://openalex.org/W4206180546","https://openalex.org/W4303083268"],"related_works":["https://openalex.org/W2046736294","https://openalex.org/W1519526186","https://openalex.org/W2980815195","https://openalex.org/W2260200182","https://openalex.org/W4293584968","https://openalex.org/W2384758770","https://openalex.org/W2032964960","https://openalex.org/W4382701036","https://openalex.org/W2798106756","https://openalex.org/W1731719754"],"abstract_inverted_index":{"The":[0,171],"principle":[1],"of":[2,11,34,47,55,95,108,122,175,184,189,198,207],"stationary":[3,67,109,139,162,172],"phase":[4,51,68,110,140,151,163,173,192],"(PSP)":[5],"is":[6,113,159],"re-examined":[7],"in":[8,29,82,105,115,142,154],"the":[9,35,37,45,56,61,75,96,101,106,116,123,128,143,190,196,215],"context":[10],"linear":[12],"time-frequency":[13],"(TF)":[14],"decomposition":[15],"using":[16],"Gaussian,":[17],"gammatone":[18],"and":[19,26,42,63,146,169,182,203],"gamma":[20],"chirp":[21],"filters":[22,130],"at":[23],"uniform,":[24],"logarithmic":[25],"cochlear":[27],"spacings":[28],"frequency.":[30],"This":[31],"necessitates":[32],"consideration":[33],"use":[36],"PSP":[38],"on":[39],"non-asymptotic":[40],"integrals":[41],"leads":[43,131],"to":[44,74,89,211],"introduction":[46],"a":[48,134,148,160,205],"test":[49,62,102,149],"for":[50,137,150,166,195],"rate":[52,152,193],"dominance.":[53],"Regions":[54],"TF":[57,97,144,161,191],"plane":[58,98,145],"that":[59,80,99,155,212],"pass":[60],"do":[64],"not":[65],"contain":[66],"points":[69,141],"contribute":[70],"little":[71],"or":[72,103],"nothing":[73],"final":[76],"output.":[77],"Analysis":[78],"values":[79],"lie":[81],"these":[83],"regions":[84,94,174],"can":[85],"thus":[86],"be":[87],"set":[88],"zero,":[90],"i.e.,":[91],"sparsity.":[92],"In":[93],"fail":[100],"are":[104,179],"vicinity":[107],"points,":[111],"synthesis":[112,129],"performed":[114],"usual":[117],"way.":[118],"A":[119],"new":[120,135],"interpretation":[121],"location":[124],"parameters":[125],"associated":[126],"with":[127],"to:":[132],"i)":[133],"method":[136],"locating":[138],"ii)":[147],"dominance":[153],"plane.":[156],"Together":[157],"this":[158],"approximation":[164],"(TFSPA)":[165],"both":[167],"analysis":[168,188],"synthesis.":[170],"several":[176],"elementary":[177],"signals":[178],"identified":[180],"theoretically":[181],"examples":[183],"reconstruction":[185],"given.":[186],"An":[187],"characteristics":[194],"case":[197],"two":[199],"simultaneous":[200,208],"tones":[201],"predicts":[202],"quantifies":[204],"form":[206],"masking":[209],"similar":[210],"which":[213],"characterizes":[214],"auditory":[216],"system.":[217]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}