{"id":"https://openalex.org/W1914942147","doi":"https://doi.org/10.1155/2015/861563","title":"Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames","display_name":"Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1914942147","doi":"https://doi.org/10.1155/2015/861563","mag":"1914942147"},"language":"en","primary_location":{"id":"doi:10.1155/2015/861563","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/861563","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/861563.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2015/861563.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029839615","display_name":"Martin Ehler","orcid":"https://orcid.org/0000-0002-3247-6279"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Martin Ehler","raw_affiliation_strings":["Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029839615"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.5254,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64474275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2015","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9997000098228455,"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":0.9997000098228455,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/filter-bank","display_name":"Filter bank","score":0.7857001423835754},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5404511094093323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5387488603591919},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.523611843585968},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.519716739654541},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5114701986312866},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4951283037662506},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4887576103210449},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4451771378517151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43469542264938354},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41740182042121887},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3892252445220947},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.33079707622528076},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13933861255645752},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11124855279922485}],"concepts":[{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.7857001423835754},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5404511094093323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5387488603591919},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.523611843585968},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.519716739654541},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5114701986312866},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4951283037662506},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4887576103210449},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4451771378517151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43469542264938354},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41740182042121887},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3892252445220947},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.33079707622528076},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13933861255645752},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11124855279922485},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1155/2015/861563","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/861563","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/861563.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1305.0716","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.0716","pdf_url":"https://arxiv.org/pdf/1305.0716","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:info:fedora/oai:univie.ac.at:o:448327","is_oa":true,"landing_page_url":"https://phaidra.univie.ac.at/o:448327","pdf_url":null,"source":{"id":"https://openalex.org/S4306401993","display_name":"Phaidra (Universit\u00e4t Wien)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129774422","host_organization_name":"University of Vienna","host_organization_lineage":["https://openalex.org/I129774422"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1110-757X","raw_type":"article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1439816410","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1439816410","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:861563","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2015/861563.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:67365527305548df8ddd3ff36d377a98","is_oa":true,"landing_page_url":"https://doaj.org/article/67365527305548df8ddd3ff36d377a98","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2015 (2015)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2015/861563","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2015/861563","pdf_url":"https://downloads.hindawi.com/journals/jam/2015/861563.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G2916271932","display_name":null,"funder_award_id":"VRG12-009","funder_id":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund"}],"funders":[{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1914942147.pdf","grobid_xml":"https://content.openalex.org/works/W1914942147.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1612063214","https://openalex.org/W1665316997","https://openalex.org/W1832862996","https://openalex.org/W1927811016","https://openalex.org/W1965809243","https://openalex.org/W1966245736","https://openalex.org/W1976318178","https://openalex.org/W2008418230","https://openalex.org/W2010693285","https://openalex.org/W2014143478","https://openalex.org/W2015480090","https://openalex.org/W2018381203","https://openalex.org/W2021553162","https://openalex.org/W2021578093","https://openalex.org/W2022950224","https://openalex.org/W2025655594","https://openalex.org/W2025709642","https://openalex.org/W2028926376","https://openalex.org/W2037259582","https://openalex.org/W2042753947","https://openalex.org/W2055815775","https://openalex.org/W2062312100","https://openalex.org/W2075014089","https://openalex.org/W2078661971","https://openalex.org/W2094235750","https://openalex.org/W2094644779","https://openalex.org/W2098598867","https://openalex.org/W2103835941","https://openalex.org/W2103972909","https://openalex.org/W2107411554","https://openalex.org/W2112133784","https://openalex.org/W2115138043","https://openalex.org/W2119337797","https://openalex.org/W2124714273","https://openalex.org/W2129638195","https://openalex.org/W2133665775","https://openalex.org/W2145988782","https://openalex.org/W2164982812","https://openalex.org/W2170526414","https://openalex.org/W2182304189","https://openalex.org/W2296616510","https://openalex.org/W2395924179","https://openalex.org/W2963302510","https://openalex.org/W2963422302","https://openalex.org/W2963636976","https://openalex.org/W2963705996","https://openalex.org/W3098045837","https://openalex.org/W3101320118","https://openalex.org/W3102575917","https://openalex.org/W3102825791","https://openalex.org/W3103827634","https://openalex.org/W4205427178","https://openalex.org/W4246929754","https://openalex.org/W4292170079","https://openalex.org/W4298362374"],"related_works":["https://openalex.org/W4210376836","https://openalex.org/W4210925376","https://openalex.org/W1633995705","https://openalex.org/W2596211269","https://openalex.org/W197862639","https://openalex.org/W2360384790","https://openalex.org/W4232397253","https://openalex.org/W4235913033","https://openalex.org/W2109284253","https://openalex.org/W2039966832"],"abstract_inverted_index":{"We":[0,97],"turn":[1],"a":[2,7,59,100,119],"given":[3,101],"filter":[4,24,38,43,81],"bank":[5,39,82],"into":[6],"filtering":[8],"scheme":[9],"that":[10],"provides":[11],"perfect":[12,46],"reconstruction,":[13],"synthesis":[14,128],"is":[15,76,89],"the":[16,19,32,36,73,79],"adjoint":[17],"of":[18,35,61],"analysis":[20,126],"part":[21],"(so-called":[22],"unitary":[23],"banks),":[25],"all":[26],"filters":[27],"have":[28,69],"equal":[29,70],"norm,":[30,71],"and":[31,117,127],"essential":[33],"features":[34],"original":[37],"are":[40,48],"preserved.":[41],"Unitary":[42],"banks":[44],"providing":[45],"reconstruction":[47],"induced":[49],"by":[50],"tight":[51,121],"generalized":[52,102],"frames,":[53],"which":[54,88,124],"enable":[55],"signal":[56,74,95,125],"decomposition":[57],"using":[58],"set":[60],"linear":[62],"operators.":[63],"If,":[64],"in":[65,84],"addition,":[66],"frame":[67,103],"elements":[68,105],"then":[72],"energy":[75],"spread":[77],"through":[78],"various":[80],"channels":[83],"some":[85],"uniform":[86],"fashion,":[87],"often":[90],"more":[91],"suitable":[92],"for":[93,107,113,123],"further":[94],"processing.":[96],"start":[98],"with":[99],"whose":[104],"allow":[106],"fast":[108,132],"matrix":[109],"vector":[110],"multiplication,":[111],"as,":[112],"instance,":[114],"convolution":[115],"operators,":[116],"compute":[118],"normalized":[120],"frame,":[122],"still":[129],"preserve":[130],"those":[131],"algorithmic":[133],"schemes.":[134]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}