{"id":"https://openalex.org/W1926922329","doi":"https://doi.org/10.1109/icassp.1983.1172089","title":"Stable modelling of a continuous covariance function with application to continuous speech","display_name":"Stable modelling of a continuous covariance function with application to continuous speech","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1926922329","doi":"https://doi.org/10.1109/icassp.1983.1172089","mag":"1926922329"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1983.1172089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1983.1172089","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-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/A5029728016","display_name":"Ing Widya","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"I. Widya","raw_affiliation_strings":["Department of Electrical Engineering, Delft University of Technnology, Delft, Netherlands","TNO-Ground watersurvey, Delft, Netherlands","Department of Electrical Engineering, Delft University of Technnology, Delft, Netherlands; TNO-Ground watersurvey, Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"TNO-Ground watersurvey, Delft, Netherlands","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering, Delft University of Technnology, Delft, Netherlands; TNO-Ground watersurvey, Delft, Netherlands","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035921496","display_name":"P. Dewilde","orcid":"https://orcid.org/0000-0002-9553-1845"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"P. Dewilde","raw_affiliation_strings":["Department of Electrical Engineering, Delft University of Technnology, Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029728016"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08181709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"793","last_page":"796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/covariance","display_name":"Covariance","score":0.6244230270385742},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5530871152877808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4905816614627838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49057191610336304},{"id":"https://openalex.org/keywords/continuous-function","display_name":"Continuous function (set theory)","score":0.4894360601902008},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.46690279245376587},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46206602454185486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.461381733417511},{"id":"https://openalex.org/keywords/autocovariance","display_name":"Autocovariance","score":0.453754186630249},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4301658272743225},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3359873592853546},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.2546318769454956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21971791982650757},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.13529345393180847},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09603700041770935}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6244230270385742},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5530871152877808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4905816614627838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49057191610336304},{"id":"https://openalex.org/C2778199601","wikidata":"https://www.wikidata.org/wiki/Q5165476","display_name":"Continuous function (set theory)","level":3,"score":0.4894360601902008},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.46690279245376587},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46206602454185486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.461381733417511},{"id":"https://openalex.org/C88271906","wikidata":"https://www.wikidata.org/wiki/Q786973","display_name":"Autocovariance","level":3,"score":0.453754186630249},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4301658272743225},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3359873592853546},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.2546318769454956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21971791982650757},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.13529345393180847},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09603700041770935},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1983.1172089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1983.1172089","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1482315736","https://openalex.org/W1576783654","https://openalex.org/W1974781983","https://openalex.org/W2040904072","https://openalex.org/W2083862580","https://openalex.org/W2092231603","https://openalex.org/W2100540421","https://openalex.org/W2164323769","https://openalex.org/W4211022954","https://openalex.org/W4250038851","https://openalex.org/W6684015581"],"related_works":["https://openalex.org/W2386803684","https://openalex.org/W1971337326","https://openalex.org/W3178402891","https://openalex.org/W651058035","https://openalex.org/W143964308","https://openalex.org/W2073389045","https://openalex.org/W2046078371","https://openalex.org/W4315750325","https://openalex.org/W4297832768","https://openalex.org/W2477374484"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,32,43,51,80,96,102,111,124,127,149,194,198,212],"modelling":[3],"of":[4,20,31,42,75,126,141,169,193,200,214],"a":[5,24,28,40,64,118,138,167,181],"covariance":[6,170],"function":[7],"\u03b4(t)":[8],"+":[9],"k(t)":[10],"where":[11],"t":[12],"is":[13,19,47,73,151,203],"continuous":[14,29,66],"time.":[15],"For":[16],"instance,":[17],"it":[18,63],"interest":[21],"to":[22,50,57,60,94,110,153],"have":[23,99],"method":[25,105,150],"for":[26,158],"computing":[27],"model":[30],"oral":[33],"cavity.":[34],"To":[35],"achieve":[36],"this":[37],"one":[38,55,74,86],"uses":[39],"sampling":[41,81],"speech":[44],"signal":[45],"which":[46,122],"high":[48,139],"compared":[49],"Nyquist":[52],"frequency":[53],"and":[54,82,130,177,227],"hopes":[56],"be":[58,108],"able":[59],"distill":[61],"from":[62],"time":[65],"reflection":[67,175],"function.":[68],"The":[69],"problem":[70],"here,":[71],"however,":[72],"numerical":[76,142],"stability.":[77,143],"By":[78],"increasing":[79],"using":[83],"classical":[84,154],"methods":[85,218],"will":[87],"lose":[88],"control":[89],"on":[90,134],"accuracy.":[91],"In":[92,162,208],"order":[93],"stabilize":[95],"procedure":[97],"we":[98,145,165,183,187,210],"investigated":[100],"how":[101,148],"celebrated":[103],"Schur":[104],"[1],[2],[3]":[106],"may":[107,184],"extended":[109],"time-continuous":[112],"case.":[113],"It":[114],"turns":[115],"out":[116],"that":[117,186],"novel":[119],"equation":[120],"arises":[121],"expresses":[123],"causality":[125],"modeling":[128],"filter":[129],"which,":[131],"when":[132],"used":[133],"our":[135,215],"problem,":[136],"achieves":[137],"degree":[140],"Incidentally":[144],"show":[146,166],"also":[147],"related":[152],"inverse":[155],"scattering":[156],"problems":[157],"lossless":[159],"transmission":[160],"lines.":[161],"fig.":[163,206],"1-4":[164],"number":[168],"testfunctions,":[171],"their":[172,178],"corresponding":[173],"continuous-time":[174],"functions":[176],"errors.":[179],"As":[180],"conclusion":[182,209],"state":[185],"arrive":[188],"at":[189],"an":[190],"optimal":[191],"behaviour":[192],"algorithm,":[195],"even":[196],"in":[197,205,220,224,228],"presence":[199],"noise,":[201],"as":[202],"illustrated":[204],"5.":[207],"discuss":[211],"relation":[213],"technique":[216],"with":[217],"presented":[219],"estimation":[221],"theory":[222,230],"[4],[5],":[223],"electromagnetism":[225],"[6]":[226],"embedding":[229],"[7].":[231]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
