{"id":"https://openalex.org/W1593323175","doi":"https://doi.org/10.1109/icassp.1982.1171484","title":"On the inversion of singular operators","display_name":"On the inversion of singular operators","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1593323175","doi":"https://doi.org/10.1109/icassp.1982.1171484","mag":"1593323175"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1982.1171484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '82. 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/A5008436777","display_name":"Vicente Casares\u2010Giner","orcid":"https://orcid.org/0000-0002-6947-8470"},"institutions":[{"id":"https://openalex.org/I121595252","display_name":"Polytechnic University of Puerto Rico","ror":"https://ror.org/01b8jmq89","country_code":"PR","type":"education","lineage":["https://openalex.org/I121595252"]}],"countries":["PR"],"is_corresponding":true,"raw_author_name":"V. Casares-Giner","raw_affiliation_strings":["Escuela T\u00e9cnica Superior Ingenieros Telecomunicaci\u00f3n, Universidad Polit\u00e9cnica de Barcelona, Barcelona, Spain","[Universidad polit\u00e9cnica de barcelona, barcelona, spain]"],"affiliations":[{"raw_affiliation_string":"Escuela T\u00e9cnica Superior Ingenieros Telecomunicaci\u00f3n, Universidad Polit\u00e9cnica de Barcelona, Barcelona, Spain","institution_ids":[]},{"raw_affiliation_string":"[Universidad polit\u00e9cnica de barcelona, barcelona, spain]","institution_ids":["https://openalex.org/I121595252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008436777"],"corresponding_institution_ids":["https://openalex.org/I121595252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08314642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1541","last_page":"1544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9979000091552734,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/autocorrelation","display_name":"Autocorrelation","score":0.6900293827056885},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.6729763746261597},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6659659743309021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6281182765960693},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6197162866592407},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5629479289054871},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5052340626716614},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.44837814569473267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3058692216873169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22491297125816345},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10347855091094971}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.6900293827056885},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.6729763746261597},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6659659743309021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6281182765960693},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6197162866592407},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5629479289054871},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5052340626716614},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.44837814569473267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3058692216873169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22491297125816345},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10347855091094971},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1982.1171484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1769722179","https://openalex.org/W1968553164","https://openalex.org/W1986635413","https://openalex.org/W1997419185","https://openalex.org/W2020141429","https://openalex.org/W2095296829","https://openalex.org/W2098406407","https://openalex.org/W2147247569","https://openalex.org/W2316882975","https://openalex.org/W6638042834","https://openalex.org/W6674626204"],"related_works":["https://openalex.org/W4280509587","https://openalex.org/W4238525485","https://openalex.org/W2020088723","https://openalex.org/W3130220683","https://openalex.org/W2149910220","https://openalex.org/W3019994430","https://openalex.org/W2148445249","https://openalex.org/W4301241236","https://openalex.org/W3098163135","https://openalex.org/W2357242572"],"abstract_inverted_index":{"This":[0,59],"paper":[1],"is":[2,60],"concerned":[3],"with":[4,101],"the":[5,17,24,29,37,56,64,75,82,98,111],"inversion":[6,99],"of":[7,53,69],"digital":[8],"singular":[9,104],"convolution":[10],"operators":[11],"defined":[12],"by":[13,34,39,62],"a":[14,40,70,102],"polynomial":[15,38,90],"in":[16,23,92],"z-transform":[18],"domain.":[19],"For":[20],"that":[21],"purpose,":[22],"one":[25],"dimensional":[26],"case":[27],"(1D),":[28],"method":[30,113],"given":[31,114],"here":[32],"proceeds":[33],"first":[35],"approximating":[36],"rational":[41],"transfer":[42],"function,":[43],"Which":[44],"numerator":[45],"results":[46],"to":[47,74],"be":[48,79],"an":[49],"autocorrelation":[50,105],"functions,":[51,106],"free":[52],"zeros":[54],"on":[55],"unit":[57],"circle.":[58],"obtained":[61],"using":[63,81],"least":[65,87],"square":[66,88],"inverse":[67,89],"concept":[68],"polynomial.":[71],"The":[72],"extension":[73],"2D":[76,85],"case,":[77],"can":[78,109],"achieved":[80],"well":[83],"known":[84],"planar":[86],"(PLSI)":[91],"semicausal":[93],"form.":[94],"With":[95],"this":[96],"approach,":[97],"deals":[100],"non":[103],"so":[107],"we":[108],"use":[110],"asymmtotical":[112],"recently":[115],"|1|.":[116]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
