{"id":"https://openalex.org/W2746998727","doi":"https://doi.org/10.1007/s11045-017-0520-x","title":"Matrix spectral factorization for SA4 multiwavelet","display_name":"Matrix spectral factorization for SA4 multiwavelet","publication_year":2017,"publication_date":"2017-08-22","ids":{"openalex":"https://openalex.org/W2746998727","doi":"https://doi.org/10.1007/s11045-017-0520-x","mag":"2746998727"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-017-0520-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-017-0520-x","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.06468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013327736","display_name":"Vasil Kolev","orcid":"https://orcid.org/0000-0002-2694-2149"},"institutions":[{"id":"https://openalex.org/I4210163063","display_name":"Institute of Information and Communication Technologies","ror":"https://ror.org/05fpsjc82","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]},{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Vasil Kolev","raw_affiliation_strings":["Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Bl. 2 Acad. G. Bonchev St., 1113, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Bl. 2 Acad. G. Bonchev St., 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063","https://openalex.org/I24768866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074722975","display_name":"Todor Cooklev","orcid":"https://orcid.org/0000-0002-4619-3579"},"institutions":[{"id":"https://openalex.org/I162817326","display_name":"Indiana University \u2013 Purdue University Fort Wayne","ror":"https://ror.org/01jxzq227","country_code":"US","type":"education","lineage":["https://openalex.org/I162817326"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Todor Cooklev","raw_affiliation_strings":["Wireless Technology Center, Indiana University \u2013 Purdue University, Fort Wayne, IN, 46805, USA"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Center, Indiana University \u2013 Purdue University, Fort Wayne, IN, 46805, USA","institution_ids":["https://openalex.org/I162817326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017726749","display_name":"Fritz Keinert","orcid":"https://orcid.org/0000-0003-3116-967X"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fritz Keinert","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, 50011, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013327736"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"],"apc_list":null,"apc_paid":null,"fwci":0.2775,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64192381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"4","first_page":"1613","last_page":"1641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9908000230789185,"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/matrix-decomposition","display_name":"Matrix decomposition","score":0.7622970938682556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7105768918991089},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.6177452802658081},{"id":"https://openalex.org/keywords/autocorrelation-matrix","display_name":"Autocorrelation matrix","score":0.586988091468811},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5690284371376038},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.48215338587760925},{"id":"https://openalex.org/keywords/dft-matrix","display_name":"DFT matrix","score":0.47378110885620117},{"id":"https://openalex.org/keywords/spectral-theorem","display_name":"Spectral theorem","score":0.47116145491600037},{"id":"https://openalex.org/keywords/orthogonal-matrix","display_name":"Orthogonal matrix","score":0.4699055552482605},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.4508282542228699},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.4501233398914337},{"id":"https://openalex.org/keywords/matrix-function","display_name":"Matrix function","score":0.43238121271133423},{"id":"https://openalex.org/keywords/band-matrix","display_name":"Band matrix","score":0.43103379011154175},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4206995368003845},{"id":"https://openalex.org/keywords/single-entry-matrix","display_name":"Single-entry matrix","score":0.4181234836578369},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.4126441180706024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.360526442527771},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3364524245262146},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.3250178098678589},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.3111960291862488},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2796953320503235},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.21773439645767212},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20222356915473938},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.13464093208312988},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.11616289615631104},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.11402997374534607},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11317211389541626},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.100518137216568},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.08172494173049927},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07983464002609253}],"concepts":[{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.7622970938682556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7105768918991089},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.6177452802658081},{"id":"https://openalex.org/C4033963","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation matrix","level":3,"score":0.586988091468811},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5690284371376038},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.48215338587760925},{"id":"https://openalex.org/C103945485","wikidata":"https://www.wikidata.org/wiki/Q5204933","display_name":"DFT matrix","level":5,"score":0.47378110885620117},{"id":"https://openalex.org/C35958075","wikidata":"https://www.wikidata.org/wiki/Q1425077","display_name":"Spectral theorem","level":3,"score":0.47116145491600037},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.4699055552482605},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.4508282542228699},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.4501233398914337},{"id":"https://openalex.org/C4263655","wikidata":"https://www.wikidata.org/wiki/Q2699958","display_name":"Matrix function","level":4,"score":0.43238121271133423},{"id":"https://openalex.org/C33343441","wikidata":"https://www.wikidata.org/wiki/Q806350","display_name":"Band matrix","level":5,"score":0.43103379011154175},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4206995368003845},{"id":"https://openalex.org/C1678238","wikidata":"https://www.wikidata.org/wiki/Q6787895","display_name":"Single-entry matrix","level":5,"score":0.4181234836578369},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.4126441180706024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.360526442527771},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3364524245262146},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.3250178098678589},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.3111960291862488},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2796953320503235},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.21773439645767212},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20222356915473938},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.13464093208312988},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.11616289615631104},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.11402997374534607},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11317211389541626},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.100518137216568},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.08172494173049927},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07983464002609253},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11045-017-0520-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-017-0520-x","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.06468","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.06468","pdf_url":"https://arxiv.org/pdf/1910.06468","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.06468","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.06468","pdf_url":"https://arxiv.org/pdf/1910.06468","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":77,"referenced_works":["https://openalex.org/W119752240","https://openalex.org/W146269660","https://openalex.org/W589039136","https://openalex.org/W1002241278","https://openalex.org/W1483072194","https://openalex.org/W1530768209","https://openalex.org/W1601183739","https://openalex.org/W1766888123","https://openalex.org/W1967763965","https://openalex.org/W1968893942","https://openalex.org/W1975503490","https://openalex.org/W1977827796","https://openalex.org/W1991286145","https://openalex.org/W1993744827","https://openalex.org/W1995068417","https://openalex.org/W1998570043","https://openalex.org/W2002357820","https://openalex.org/W2004766860","https://openalex.org/W2024132874","https://openalex.org/W2043583598","https://openalex.org/W2048247182","https://openalex.org/W2048944749","https://openalex.org/W2054927092","https://openalex.org/W2063677680","https://openalex.org/W2068495657","https://openalex.org/W2076870022","https://openalex.org/W2077931273","https://openalex.org/W2083578060","https://openalex.org/W2101758433","https://openalex.org/W2103364132","https://openalex.org/W2103637013","https://openalex.org/W2107300011","https://openalex.org/W2107453951","https://openalex.org/W2109411320","https://openalex.org/W2111974760","https://openalex.org/W2116124511","https://openalex.org/W2116441190","https://openalex.org/W2121364686","https://openalex.org/W2123022940","https://openalex.org/W2123218398","https://openalex.org/W2126323701","https://openalex.org/W2127415919","https://openalex.org/W2132398465","https://openalex.org/W2135761745","https://openalex.org/W2137516589","https://openalex.org/W2143601630","https://openalex.org/W2154413958","https://openalex.org/W2154710242","https://openalex.org/W2156757852","https://openalex.org/W2156848867","https://openalex.org/W2158940042","https://openalex.org/W2160037824","https://openalex.org/W2163101083","https://openalex.org/W2164423928","https://openalex.org/W2165610601","https://openalex.org/W2165783715","https://openalex.org/W2165896486","https://openalex.org/W2171352244","https://openalex.org/W2249626609","https://openalex.org/W2249639625","https://openalex.org/W2289858865","https://openalex.org/W2339524658","https://openalex.org/W2358810561","https://openalex.org/W2443043757","https://openalex.org/W2951920181","https://openalex.org/W2962696261","https://openalex.org/W2963015954","https://openalex.org/W2964282423","https://openalex.org/W3100405419","https://openalex.org/W3103985981","https://openalex.org/W4200346838","https://openalex.org/W4253849071","https://openalex.org/W6680272512","https://openalex.org/W6736507542","https://openalex.org/W6750968397","https://openalex.org/W7026689296","https://openalex.org/W7071277484"],"related_works":["https://openalex.org/W4238100916","https://openalex.org/W2379943596","https://openalex.org/W2353881153","https://openalex.org/W2393545038","https://openalex.org/W2580547314","https://openalex.org/W1528598637","https://openalex.org/W1517673529","https://openalex.org/W2016177357","https://openalex.org/W2746998727","https://openalex.org/W4251679243"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}