{"id":"https://openalex.org/W2651277749","doi":"https://doi.org/10.1109/icassp.2017.7953010","title":"Fast orthogonal approximations of sampled sinusoids and bandlimited signals","display_name":"Fast orthogonal approximations of sampled sinusoids and bandlimited signals","publication_year":2017,"publication_date":"2017-03-01","ids":{"openalex":"https://openalex.org/W2651277749","doi":"https://doi.org/10.1109/icassp.2017.7953010","mag":"2651277749"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2017.7953010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2017.7953010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.25676/11124/170920","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011989964","display_name":"Zhihui Zhu","orcid":"https://orcid.org/0000-0002-3856-0375"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhihui Zhu","raw_affiliation_strings":["Electrical Engineering and Computer Science, Colorado School of Mines, Golden, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, Colorado School of Mines, Golden, CO, USA","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061744441","display_name":"Santhosh Karnik","orcid":"https://orcid.org/0000-0002-4212-8761"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Santhosh Karnik","raw_affiliation_strings":["Electrical & Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical & Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065207980","display_name":"Michael B. Wakin","orcid":"https://orcid.org/0000-0002-2165-4586"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael B. Wakin","raw_affiliation_strings":["Electrical Engineering and Computer Science, Colorado School of Mines, Golden, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, Colorado School of Mines, Golden, CO, USA","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064232831","display_name":"Mark A. Davenport","orcid":"https://orcid.org/0000-0001-6079-6328"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark A. Davenport","raw_affiliation_strings":["Electrical & Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical & Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041443633","display_name":"Justin Romberg","orcid":"https://orcid.org/0000-0002-6616-197X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin K. Romberg","raw_affiliation_strings":["Electrical & Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical & Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2012","issue":null,"first_page":"4511","last_page":"4515"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.9175139665603638},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6072260737419128},{"id":"https://openalex.org/keywords/baseband","display_name":"Baseband","score":0.6007301211357117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5699204206466675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5373064875602722},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5041741132736206},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.49383124709129333},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4757280647754669},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.45353034138679504},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.4423104226589203},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.42529240250587463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34588897228240967},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.3060373067855835},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.23636162281036377},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2129010260105133},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.16464468836784363},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.11670076847076416},{"id":"https://openalex.org/keywords/signal-transfer-function","display_name":"Signal transfer function","score":0.11255282163619995},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10572996735572815}],"concepts":[{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.9175139665603638},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6072260737419128},{"id":"https://openalex.org/C65165936","wikidata":"https://www.wikidata.org/wiki/Q575784","display_name":"Baseband","level":3,"score":0.6007301211357117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5699204206466675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5373064875602722},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5041741132736206},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.49383124709129333},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4757280647754669},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.45353034138679504},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.4423104226589203},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.42529240250587463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34588897228240967},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.3060373067855835},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.23636162281036377},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2129010260105133},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.16464468836784363},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.11670076847076416},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.11255282163619995},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10572996735572815},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2017.7953010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2017.7953010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.library.colostate.edu:11124/170920","is_oa":false,"landing_page_url":"http://hdl.handle.net/11124/170920","pdf_url":null,"source":{"id":"https://openalex.org/S4306402292","display_name":"Digital Collections of Colorado (Colorado State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I92446798","host_organization_name":"Colorado State University","host_organization_lineage":["https://openalex.org/I92446798"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Presentation"},{"id":"doi:10.25676/11124/170920","is_oa":true,"landing_page_url":"https://doi.org/10.25676/11124/170920","pdf_url":null,"source":{"id":"https://openalex.org/S7407052040","display_name":"Mines Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"doi:10.25676/11124/170920","is_oa":true,"landing_page_url":"https://doi.org/10.25676/11124/170920","pdf_url":null,"source":{"id":"https://openalex.org/S7407052040","display_name":"Mines Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Other"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6100000143051147,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1967589385","https://openalex.org/W2108839770","https://openalex.org/W2109155033","https://openalex.org/W2122302132","https://openalex.org/W2157399945","https://openalex.org/W2165548826","https://openalex.org/W2167208435","https://openalex.org/W2263517759","https://openalex.org/W2557729753","https://openalex.org/W2962761750","https://openalex.org/W2963623419","https://openalex.org/W2963772835"],"related_works":["https://openalex.org/W66665949","https://openalex.org/W3093534330","https://openalex.org/W2156213969","https://openalex.org/W2785032488","https://openalex.org/W2150539049","https://openalex.org/W2108924426","https://openalex.org/W2127120319","https://openalex.org/W2144601817","https://openalex.org/W2051447688","https://openalex.org/W2748500020"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"provide":[4,110],"a":[5,16,23,55,90],"dictionary":[6,60],"for":[7,101],"representing":[8],"the":[9,28,34,42,52,58,64,73,84,118],"discrete":[10,29],"vector":[11],"one":[12],"obtains":[13],"when":[14],"collecting":[15],"finite":[17],"set":[18],"of":[19,41,50,54,94,113,120],"uniform":[20],"samples":[21],"from":[22],"baseband":[24],"analog":[25],"signal.":[26],"Like":[27],"prolate":[30],"spheroidal":[31],"sequences":[32],"(DPSS's),":[33],"proposed":[35,59,85],"orthogonal":[36],"basis":[37,86],"compactly":[38],"captures":[39],"most":[40],"energy":[43],"in":[44,97],"oversampled":[45],"bandlimited":[46,102],"signals.":[47],"The":[48],"complexity":[49],"computing":[51],"representation":[53],"signal":[56],"using":[57],"is":[61,67],"comparable":[62],"to":[63,81],"FFT,":[65],"which":[66],"much":[68],"less":[69],"than":[70],"that":[71,83,107],"involving":[72],"DPSS":[74],"basis.":[75],"We":[76],"also":[77,106],"give":[78],"non-asymptotic":[79],"results":[80],"guarantee":[82],"not":[87],"only":[88],"provides":[89],"very":[91],"high":[92],"degree":[93],"approximation":[95],"accuracy":[96],"an":[98],"MSE":[99],"sense":[100],"sample":[103],"vectors,":[104],"but":[105],"it":[108],"can":[109],"high-quality":[111],"approximations":[112],"all":[114],"sampled":[115],"sinusoids":[116],"within":[117],"band":[119],"interest.":[121]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
