{"id":"https://openalex.org/W2105290065","doi":"https://doi.org/10.1109/icassp.2012.6288697","title":"On compressed sensing and the estimation of continuous parameters from noisy observations","display_name":"On compressed sensing and the estimation of continuous parameters from noisy observations","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2105290065","doi":"https://doi.org/10.1109/icassp.2012.6288697","mag":"2105290065"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288697","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288697","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/d50332cf-448f-4dd1-bcc9-d3dbb40eb7ed","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088017609","display_name":"Jesper Kj\u00e6r Nielsen","orcid":"https://orcid.org/0000-0002-2586-7925"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jesper Kjaer Nielsen","raw_affiliation_strings":["Dept. of Electronic Systems, Aalborg University, Aalborg","Aalborg University, Dept. of Electronic Systems, Niels Jernes Vej 12, DK-9220, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electronic Systems, Aalborg University, Aalborg","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Aalborg University, Dept. of Electronic Systems, Niels Jernes Vej 12, DK-9220, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026658144","display_name":"Mads Gr\u00e6sb\u00f8ll Christensen","orcid":"https://orcid.org/0000-0003-3586-7969"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Mads Graesboll Christensen","raw_affiliation_strings":["Dept. of Architecture, Design & Media Technology, Aalborg University, Aalborg","Aalborg University, Dept. of Architecture, Design & Media Technology, Niels Jernes Vej 14, DK-9220, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Architecture, Design & Media Technology, Aalborg University, Aalborg","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Aalborg University, Dept. of Architecture, Design & Media Technology, Niels Jernes Vej 14, DK-9220, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103115969","display_name":"S\u00f8ren Holdt Jensen","orcid":"https://orcid.org/0000-0002-1050-470X"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Soren Holdt Jensen","raw_affiliation_strings":["Dept. of Electronic Systems, Aalborg University, Aalborg","Aalborg University, Dept. of Electronic Systems, Niels Jernes Vej 12, DK-9220, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electronic Systems, Aalborg University, Aalborg","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Aalborg University, Dept. of Electronic Systems, Niels Jernes Vej 12, DK-9220, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"3609","last_page":"3612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9976999759674072,"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/compressed-sensing","display_name":"Compressed sensing","score":0.846782922744751},{"id":"https://openalex.org/keywords/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.8453847169876099},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.788438081741333},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6218988299369812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5704203844070435},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.564838171005249},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5609458684921265},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4525538980960846},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4316242039203644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3779654800891876},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3465827703475952},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32065799832344055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2682415246963501},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08403021097183228},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07559037208557129},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.07071641087532043}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.846782922744751},{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.8453847169876099},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.788438081741333},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6218988299369812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5704203844070435},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.564838171005249},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5609458684921265},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4525538980960846},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4316242039203644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3779654800891876},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3465827703475952},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32065799832344055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2682415246963501},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08403021097183228},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07559037208557129},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.07071641087532043},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2012.6288697","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288697","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/d50332cf-448f-4dd1-bcc9-d3dbb40eb7ed","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/d50332cf-448f-4dd1-bcc9-d3dbb40eb7ed","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nielsen, J K, Christensen, M G & Jensen, S H 2012, On Compressed Sensing and the Estimation of Continuous Parameters From Noisy Observations. in Proceedings IEEE International Conference on Acoustics, Speech and Signal Processing. . IEEE Press, I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings, pp. 3609-3612, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing, Kyoto, Japan, 25/03/2012. https://doi.org/10.1109/ICASSP.2012.6288697","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.712.2782","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.712.2782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://sqrt-1.dk/aboutme/publications/20120314_ICASSP12A.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/d50332cf-448f-4dd1-bcc9-d3dbb40eb7ed","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/d50332cf-448f-4dd1-bcc9-d3dbb40eb7ed","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nielsen, J K, Christensen, M G & Jensen, S H 2012, On Compressed Sensing and the Estimation of Continuous Parameters From Noisy Observations. in Proceedings IEEE International Conference on Acoustics, Speech and Signal Processing. . IEEE Press, I E E E International Conference on Acoustics, Speech and Signal Processing. Proceedings, pp. 3609-3612, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing, Kyoto, Japan, 25/03/2012. https://doi.org/10.1109/ICASSP.2012.6288697","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.75,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W8105021","https://openalex.org/W1525535255","https://openalex.org/W1806269746","https://openalex.org/W1965392255","https://openalex.org/W2030449718","https://openalex.org/W2033182439","https://openalex.org/W2096282089","https://openalex.org/W2103955025","https://openalex.org/W2104266187","https://openalex.org/W2109515693","https://openalex.org/W2117029045","https://openalex.org/W2117170433","https://openalex.org/W2119667497","https://openalex.org/W2133285942","https://openalex.org/W2151693816","https://openalex.org/W2164452299","https://openalex.org/W2294690908","https://openalex.org/W2295549646","https://openalex.org/W3157098150","https://openalex.org/W6697419950"],"related_works":["https://openalex.org/W2120266201","https://openalex.org/W1479746946","https://openalex.org/W2143803213","https://openalex.org/W2055757274","https://openalex.org/W2511739151","https://openalex.org/W2155014562","https://openalex.org/W2134404114","https://openalex.org/W1964936841","https://openalex.org/W2026659681","https://openalex.org/W2185708237"],"abstract_inverted_index":{"Compressed":[0],"sensing":[1,111,117,124],"(CS)":[2],"has":[3],"in":[4],"recent":[5],"years":[6],"become":[7],"a":[8,28,47],"very":[9],"popular":[10,110],"way":[11],"of":[12,27,31,53,56,76,105],"sampling":[13],"sparse":[14],"signals.":[15],"This":[16],"sparsity":[17],"is":[18,97],"measured":[19],"with":[20,49],"respect":[21],"to":[22,46],"some":[23],"known":[24],"dictionary":[25,48],"consisting":[26],"finite":[29],"number":[30,52],"atoms.":[32,54],"Most":[33],"models":[34],"for":[35,100],"real":[36],"world":[37],"signals,":[38],"however,":[39],"are":[40,59],"parametrised":[41],"by":[42,131],"continuous":[43],"parameters":[44,58],"corresponding":[45],"an":[50],"infinite":[51,84],"Examples":[55],"such":[57,83,113],"the":[60,73,91,102,109,115,128,134],"temporal":[61],"and":[62],"spatial":[63],"frequency.":[64],"In":[65],"this":[66],"paper,":[67],"we":[68,81],"analyse":[69],"how":[70],"CS":[71],"affects":[72],"estimation":[74,103,129],"performance":[75],"any":[77],"unbiased":[78,106],"estimator":[79],"when":[80],"assume":[82],"dictionaries.":[85],"We":[86],"base":[87],"our":[88,119],"analysis":[89,120],"on":[90,125],"Cramer-Rao":[92],"lower":[93],"bound":[94],"(CRLB)":[95],"which":[96],"frequently":[98],"used":[99],"benchmarking":[101],"accuracy":[104,130],"estimators.":[107],"For":[108],"matrices":[112],"as":[114],"Gaussian":[116],"matrix,":[118],"shows":[121],"that":[122],"compressed":[123],"average":[126],"degrades":[127],"at":[132],"least":[133],"down-sample":[135],"factor.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
