{"id":"https://openalex.org/W2140758785","doi":"https://doi.org/10.1109/icassp.1984.1172786","title":"Singular value decomposition, singular vectors, and the discrete prolate spheroidal sequences","display_name":"Singular value decomposition, singular vectors, and the discrete prolate spheroidal sequences","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W2140758785","doi":"https://doi.org/10.1109/icassp.1984.1172786","mag":"2140758785"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1984.1172786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1984.1172786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '84. 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/A5081905097","display_name":"Y. Zhou","orcid":"https://orcid.org/0009-0007-4106-7761"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Y. Zhou","raw_affiliation_strings":["Department of Electrical Engineering, University of Utah, Salt Lake, UT, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Utah, Salt Lake, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087418997","display_name":"C.K. Rushforth","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Rushforth","raw_affiliation_strings":["Department of Electrical Engineering, University of Utah, Salt Lake, UT, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Utah, Salt Lake, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030399610","display_name":"R. Frost","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Frost","raw_affiliation_strings":["Department of Electrical Engineering, University of Utah, Salt Lake, UT, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Utah, Salt Lake, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081905097"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":0.4125,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67091631,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"92","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/prolate-spheroid","display_name":"Prolate spheroid","score":0.8478041887283325},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.8395447731018066},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.6084636449813843},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.5715389251708984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5454155206680298},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48449966311454773},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4795491397380829},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.44015103578567505},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.4340857267379761},{"id":"https://openalex.org/keywords/discrete-frequency-domain","display_name":"Discrete frequency domain","score":0.43206456303596497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3700837790966034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34694916009902954},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.2415633201599121},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.2091546654701233},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19411617517471313},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15008047223091125}],"concepts":[{"id":"https://openalex.org/C197807790","wikidata":"https://www.wikidata.org/wiki/Q208395","display_name":"Prolate spheroid","level":2,"score":0.8478041887283325},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.8395447731018066},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.6084636449813843},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.5715389251708984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5454155206680298},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48449966311454773},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4795491397380829},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.44015103578567505},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4340857267379761},{"id":"https://openalex.org/C23548689","wikidata":"https://www.wikidata.org/wiki/Q5282049","display_name":"Discrete frequency domain","level":3,"score":0.43206456303596497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3700837790966034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34694916009902954},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.2415633201599121},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2091546654701233},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19411617517471313},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15008047223091125},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1984.1172786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1984.1172786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '84. 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/11","score":0.46000000834465027,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2067111814","https://openalex.org/W2074223751","https://openalex.org/W2118400858","https://openalex.org/W2167208435","https://openalex.org/W2989457786"],"related_works":["https://openalex.org/W2067111814","https://openalex.org/W2072997916","https://openalex.org/W4240906956","https://openalex.org/W2389530697","https://openalex.org/W2080672562","https://openalex.org/W2315023318","https://openalex.org/W1990844505","https://openalex.org/W2159849569","https://openalex.org/W2391313426","https://openalex.org/W4390725884"],"abstract_inverted_index":{"We":[0,21],"study":[1],"in":[2],"this":[3],"paper":[4],"a":[5],"discrete-time,":[6],"discrete-frequency":[7],"model":[8],"for":[9,75],"image":[10],"restoration":[11],"using":[12],"the":[13,18,24,31,58],"singular":[14,26],"value":[15],"decomposition":[16],"of":[17,30],"imaging":[19],"matrix.":[20],"show":[22],"that":[23,55],"resulting":[25],"vectors":[27],"have":[28],"many":[29],"properties":[32,68],"possessed":[33],"by":[34,57],"Slepian's":[35],"discrete":[36],"prolate":[37],"sphroidal":[38],"sequences":[39],"(DPSS).":[40],"They":[41],"are":[42,46],"doubly":[43],"orthogonal,":[44],"they":[45,48,61],"bandlimited,":[47],"satisfy":[49],"an":[50,63],"equation":[51],"very":[52],"similar":[53],"to":[54,70],"satisfied":[56],"DPSSs,":[59],"and":[60],"possess":[62],"extremal":[64],"energy-concentration":[65],"property.":[66],"These":[67],"continue":[69],"hold":[71],"with":[72],"appropriate":[73],"modification":[74],"bandpass":[76],"as":[77,79],"well":[78],"lowpass":[80],"operations.":[81]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}