{"id":"https://openalex.org/W2088969502","doi":"https://doi.org/10.1109/icassp.2010.5495728","title":"A study of the effect of uncertainties when calculating the singular value decomposition of a polynomial matrix","display_name":"A study of the effect of uncertainties when calculating the singular value decomposition of a polynomial matrix","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2088969502","doi":"https://doi.org/10.1109/icassp.2010.5495728","mag":"2088969502"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2010.5495728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2010.5495728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 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/A5111706685","display_name":"Joanne Foster","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J.A. Foster","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, UK","Advanced Signal Processing Group, Loughborough University, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105458070","display_name":"J.G. McWhirter","orcid":"https://orcid.org/0000-0003-1810-3318"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J.G. McWhirter","raw_affiliation_strings":["Centre of Digital Signal Processing, Cardiff University, UK","Centre of Digital Signal Processing, Cardiff University, CF24 3AA, UK"],"affiliations":[{"raw_affiliation_string":"Centre of Digital Signal Processing, Cardiff University, UK","institution_ids":["https://openalex.org/I79510175"]},{"raw_affiliation_string":"Centre of Digital Signal Processing, Cardiff University, CF24 3AA, UK","institution_ids":["https://openalex.org/I79510175"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107852972","display_name":"Martin Davies","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M.R. Davies","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, UK","Advanced Signal Processing Group, Loughborough University, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007993661","display_name":"Jonathon A. Chambers","orcid":"https://orcid.org/0000-0002-7224-8553"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J.A. Chambers","raw_affiliation_strings":["Advanced Signal Processing Group, Loughborough University, UK","Advanced Signal Processing Group, Loughborough University, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Advanced Signal Processing Group, Loughborough University, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111706685"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14610339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4118","last_page":"4121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10575","display_name":"Wireless Communication Networks Research","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/T11873","display_name":"PAPR reduction in OFDM","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/singular-value-decomposition","display_name":"Singular value decomposition","score":0.9055591821670532},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.7219492197036743},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6663748621940613},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.6545141935348511},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6107813119888306},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5638630390167236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.55039381980896},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4683873951435089},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.46497368812561035},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4640945792198181},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.46338093280792236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4493806064128876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39599040150642395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3753439486026764},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16548100113868713},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12072774767875671},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09144482016563416}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.9055591821670532},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.7219492197036743},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6663748621940613},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.6545141935348511},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6107813119888306},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5638630390167236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.55039381980896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4683873951435089},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.46497368812561035},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4640945792198181},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.46338093280792236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4493806064128876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39599040150642395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3753439486026764},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16548100113868713},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12072774767875671},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09144482016563416},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icassp.2010.5495728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2010.5495728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:alma.44SUR_INST:11138869920002346","is_oa":false,"landing_page_url":"http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000287096004013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11d2a86992e85fb529977dad66a846d5","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"event"},{"id":"pmh:oai:epubs.surrey.ac.uk:839149","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/839149/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:16593","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5495728","pdf_url":null,"source":{"id":"https://openalex.org/S7407055383","display_name":"ORCA Online Research @Cardiff","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8412214678","display_name":null,"funder_award_id":"EP/F065477/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1481646516","https://openalex.org/W2097894982","https://openalex.org/W2099461055","https://openalex.org/W2127135930","https://openalex.org/W2136126519","https://openalex.org/W2142690499","https://openalex.org/W2150994185","https://openalex.org/W2184811161","https://openalex.org/W2798333393","https://openalex.org/W3128611524"],"related_works":["https://openalex.org/W4319586039","https://openalex.org/W1489986405","https://openalex.org/W4382583540","https://openalex.org/W1607100495","https://openalex.org/W2147072251","https://openalex.org/W1990844505","https://openalex.org/W2148568324","https://openalex.org/W2088969502","https://openalex.org/W2053606573","https://openalex.org/W4299295751"],"abstract_inverted_index":{"An":[0],"algorithm":[1],"has":[2],"been":[3],"recently":[4],"proposed":[5,36,126],"by":[6,66],"the":[7,44,47,82,89,96,104,116,125],"authors":[8],"for":[9],"calculating":[10],"a":[11,34,59,77,107],"polynomial":[12,20,84,108],"matrix":[13,21,85,109],"singular":[14],"value":[15],"decomposition":[16],"(SVD)":[17],"based":[18],"upon":[19],"QR":[22],"decomposition.":[23,41],"In":[24,42],"this":[25,30,40],"work":[26],"we":[27],"examine":[28],"how":[29,112],"method":[31,37,87],"compares":[32],"to":[33],"previously":[35],"of":[38,46,58,68,80,106,120],"formulating":[39,103],"particular,":[43],"performance":[45,119],"two":[48],"methods":[49,123],"is":[50,54],"examined":[51],"when":[52,102],"each":[53],"used":[55],"as":[56],"part":[57],"broadband":[60],"multiple-input":[61],"multiple-output":[62],"(MIMO)":[63],"communication":[64],"system":[65],"means":[67],"average":[69],"bit":[70],"error":[71,117],"rate":[72,118],"simulations.":[73],"These":[74],"results":[75],"confirm":[76],"clear":[78],"advantage":[79],"using":[81],"new":[83],"SVD":[86,105,122],"over":[88],"existing":[90],"technique.":[91],"This":[92],"paper":[93],"also":[94],"discusses":[95],"possible":[97],"errors":[98,114],"that":[99],"are":[100],"encountered":[101],"and":[110],"investigates":[111],"these":[113],"affect":[115],"both":[121],"within":[124],"application.":[127]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}