{"id":"https://openalex.org/W2062927385","doi":"https://doi.org/10.1016/s0165-1684(99)00099-7","title":"A new formulation for the Karhunen\u2013Loeve expansion","display_name":"A new formulation for the Karhunen\u2013Loeve expansion","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W2062927385","doi":"https://doi.org/10.1016/s0165-1684(99)00099-7","mag":"2062927385"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-1684(99)00099-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-1684(99)00099-7","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal 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/A5110121514","display_name":"P. Courmontagne","orcid":null},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ph. Courmontagne","raw_affiliation_strings":["ISITV, Laboratoire MS-GESSY, Universit\u00e9 de Toulon, BP 132, 83957 La Garde Cedex, France"],"affiliations":[{"raw_affiliation_string":"ISITV, Laboratoire MS-GESSY, Universit\u00e9 de Toulon, BP 132, 83957 La Garde Cedex, France","institution_ids":["https://openalex.org/I143002897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110121514"],"corresponding_institution_ids":["https://openalex.org/I143002897"],"apc_list":{"value":3200,"currency":"USD","value_usd":3200},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.18892535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"79","issue":"3","first_page":"235","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9965999722480774,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.996399998664856,"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/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.805549144744873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6864677667617798},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35461747646331787},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34986478090286255},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.299418181180954}],"concepts":[{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.805549144744873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6864677667617798},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35461747646331787},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34986478090286255},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.299418181180954},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-1684(99)00099-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-1684(99)00099-7","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1536252645","https://openalex.org/W1572734635","https://openalex.org/W1904760613","https://openalex.org/W1979520507","https://openalex.org/W2011598377","https://openalex.org/W2062328787","https://openalex.org/W2282283428","https://openalex.org/W2312940325","https://openalex.org/W3023508719","https://openalex.org/W3175194126","https://openalex.org/W3210108089","https://openalex.org/W4285719527","https://openalex.org/W6604001683","https://openalex.org/W6776204315"],"related_works":["https://openalex.org/W2910133962","https://openalex.org/W2401850100","https://openalex.org/W4230623537","https://openalex.org/W2063488590","https://openalex.org/W3117324600","https://openalex.org/W2141704600","https://openalex.org/W4226067901","https://openalex.org/W4313705710","https://openalex.org/W3157737782","https://openalex.org/W3043663456"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}