{"id":"https://openalex.org/W3205415745","doi":"https://doi.org/10.1109/taslp.2021.3120650","title":"A Superfast Toeplitz Matrix Inversion Method for Single- and Multi-Channel Inverse Filters and Its Application to Room Equalization","display_name":"A Superfast Toeplitz Matrix Inversion Method for Single- and Multi-Channel Inverse Filters and Its Application to Room Equalization","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3205415745","doi":"https://doi.org/10.1109/taslp.2021.3120650","mag":"3205415745"},"language":"en","primary_location":{"id":"doi:10.1109/taslp.2021.3120650","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taslp.2021.3120650","pdf_url":null,"source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"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/ACM Transactions on Audio, Speech, and Language 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/A5084685628","display_name":"Mark A. Poletti","orcid":"https://orcid.org/0000-0002-1967-2718"},"institutions":[{"id":"https://openalex.org/I150510651","display_name":"Callaghan Innovation","ror":"https://ror.org/02n25sf77","country_code":"NZ","type":"government","lineage":["https://openalex.org/I150510651"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Mark A. Poletti","raw_affiliation_strings":["Callaghan Innovation Wellington New Zealand"],"affiliations":[{"raw_affiliation_string":"Callaghan Innovation Wellington New Zealand","institution_ids":["https://openalex.org/I150510651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043984331","display_name":"Paul D. Teal","orcid":"https://orcid.org/0000-0002-6111-6280"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Paul Teal","raw_affiliation_strings":["*School of Engineering and Computer Science Victoria University of Wellington Wellington, New Zealand"],"affiliations":[{"raw_affiliation_string":"*School of Engineering and Computer Science Victoria University of Wellington Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084685628"],"corresponding_institution_ids":["https://openalex.org/I150510651"],"apc_list":null,"apc_paid":null,"fwci":1.2259,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76335813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"29","issue":null,"first_page":"3144","last_page":"3157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9972000122070312,"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/T12024","display_name":"Ultra-Wideband Communications Technology","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9217188358306885},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.7095117568969727},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.675051212310791},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.525727391242981},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4963884949684143},{"id":"https://openalex.org/keywords/equalization","display_name":"Equalization (audio)","score":0.47220712900161743},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.4135139286518097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4005233347415924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33953458070755005},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3336282968521118},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.32973015308380127},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3200448155403137},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.23978295922279358},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19936716556549072},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.15722918510437012},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10684657096862793},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.10585525631904602},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.086825430393219},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07243451476097107}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9217188358306885},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.7095117568969727},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.675051212310791},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.525727391242981},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4963884949684143},{"id":"https://openalex.org/C75755367","wikidata":"https://www.wikidata.org/wiki/Q104531076","display_name":"Equalization (audio)","level":3,"score":0.47220712900161743},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.4135139286518097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4005233347415924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33953458070755005},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3336282968521118},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.32973015308380127},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3200448155403137},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.23978295922279358},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19936716556549072},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.15722918510437012},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10684657096862793},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.10585525631904602},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.086825430393219},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07243451476097107},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/taslp.2021.3120650","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taslp.2021.3120650","pdf_url":null,"source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"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/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":95,"referenced_works":["https://openalex.org/W59009386","https://openalex.org/W86312689","https://openalex.org/W250076511","https://openalex.org/W1489154671","https://openalex.org/W1499680351","https://openalex.org/W1504812426","https://openalex.org/W1506809288","https://openalex.org/W1507671955","https://openalex.org/W1528659953","https://openalex.org/W1531260337","https://openalex.org/W1535818194","https://openalex.org/W1550164471","https://openalex.org/W1558067945","https://openalex.org/W1563527684","https://openalex.org/W1581883835","https://openalex.org/W1589108990","https://openalex.org/W1606909171","https://openalex.org/W1965392255","https://openalex.org/W1968005194","https://openalex.org/W1968107344","https://openalex.org/W1968609454","https://openalex.org/W1980763573","https://openalex.org/W1981369412","https://openalex.org/W1984265227","https://openalex.org/W1988666697","https://openalex.org/W2001224529","https://openalex.org/W2007162393","https://openalex.org/W2012131781","https://openalex.org/W2026342440","https://openalex.org/W2028015380","https://openalex.org/W2033550848","https://openalex.org/W2035872447","https://openalex.org/W2037814094","https://openalex.org/W2039287840","https://openalex.org/W2041165203","https://openalex.org/W2045043668","https://openalex.org/W2045748842","https://openalex.org/W2050622140","https://openalex.org/W2050628660","https://openalex.org/W2055196990","https://openalex.org/W2055507002","https://openalex.org/W2062058725","https://openalex.org/W2067990945","https://openalex.org/W2081416904","https://openalex.org/W2082180697","https://openalex.org/W2082357614","https://openalex.org/W2083320535","https://openalex.org/W2087062397","https://openalex.org/W2095018839","https://openalex.org/W2096277768","https://openalex.org/W2105591391","https://openalex.org/W2106386991","https://openalex.org/W2107896606","https://openalex.org/W2113460265","https://openalex.org/W2120248756","https://openalex.org/W2125299530","https://openalex.org/W2128334000","https://openalex.org/W2131393427","https://openalex.org/W2138466101","https://openalex.org/W2138689274","https://openalex.org/W2138777759","https://openalex.org/W2143688899","https://openalex.org/W2145823187","https://openalex.org/W2151141216","https://openalex.org/W2155321723","https://openalex.org/W2155373676","https://openalex.org/W2156746018","https://openalex.org/W2157445035","https://openalex.org/W2160242609","https://openalex.org/W2162944910","https://openalex.org/W2165491778","https://openalex.org/W2289576194","https://openalex.org/W2505648635","https://openalex.org/W2777602360","https://openalex.org/W2803385454","https://openalex.org/W2889507287","https://openalex.org/W2900427374","https://openalex.org/W2963339296","https://openalex.org/W2969789462","https://openalex.org/W3086820820","https://openalex.org/W3168651868","https://openalex.org/W4232954285","https://openalex.org/W4253198034","https://openalex.org/W4297970737","https://openalex.org/W6603471729","https://openalex.org/W6629856120","https://openalex.org/W6630183540","https://openalex.org/W6630321086","https://openalex.org/W6631775272","https://openalex.org/W6632964863","https://openalex.org/W6634770493","https://openalex.org/W6635448942","https://openalex.org/W6636102679","https://openalex.org/W6659849957","https://openalex.org/W6806095841"],"related_works":["https://openalex.org/W1654107233","https://openalex.org/W3104154517","https://openalex.org/W79513894","https://openalex.org/W2063765048","https://openalex.org/W2039201258","https://openalex.org/W3198879902","https://openalex.org/W1604903594","https://openalex.org/W2041103874","https://openalex.org/W2185203422","https://openalex.org/W2022386854"],"abstract_inverted_index":{"This":[0],"paper":[1],"derives":[2],"a":[3,21,37,61],"superfast":[4],"Toeplitz":[5,17],"matrix":[6,18,28,63],"inversion":[7],"method":[8,66],"using":[9,53],"FFT":[10,54],"techniques.":[11],"The":[12,65],"approach":[13],"casts":[14],"the":[15,26,33,40,48,58,84],"non-periodic":[16,34],"solution":[19,35,49],"into":[20],"periodic":[22,42],"framework":[23],"and":[24,72,75,79,88],"uses":[25],"Woodbury":[27],"inverse":[29],"identity":[30],"to":[31,39],"express":[32],"as":[36],"correction":[38],"time-windowed":[41],"solution.":[43],"It":[44],"is":[45,67],"shown":[46],"that":[47,56],"can":[50],"be":[51],"implemented":[52,68],"techniques":[55],"avoid":[57],"calculation":[59],"of":[60,86],"large":[62],"inverse.":[64],"for":[69,83],"both":[70],"single-":[71],"multi-channel":[73],"cases":[74],"typical":[76],"computation":[77],"times":[78],"accuracy":[80],"are":[81],"reported":[82],"equalization":[85],"simulated":[87],"measured":[89],"room":[90],"impulse":[91],"responses.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}