{"id":"https://openalex.org/W2095984793","doi":"https://doi.org/10.1109/tcsi.2009.2039257","title":"Prediction of the Spectrum of a Digital Delta\u2013Sigma Modulator Followed by a Polynomial Nonlinearity","display_name":"Prediction of the Spectrum of a Digital Delta\u2013Sigma Modulator Followed by a Polynomial Nonlinearity","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2095984793","doi":"https://doi.org/10.1109/tcsi.2009.2039257","mag":"2095984793"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2009.2039257","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2009.2039257","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-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/A5071591062","display_name":"Kaveh Hosseini","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I27577105","display_name":"University College Cork","ror":"https://ror.org/03265fv13","country_code":"IE","type":"education","lineage":["https://openalex.org/I27577105"]}],"countries":["IE","US"],"is_corresponding":true,"raw_author_name":"Kaveh Hosseini","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","University College Cork, Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"University College Cork, Cork, Ireland","institution_ids":["https://openalex.org/I27577105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058028927","display_name":"Michael Peter Kennedy","orcid":"https://orcid.org/0000-0003-3242-1056"},"institutions":[{"id":"https://openalex.org/I27577105","display_name":"University College Cork","ror":"https://ror.org/03265fv13","country_code":"IE","type":"education","lineage":["https://openalex.org/I27577105"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Michael Peter Kennedy","raw_affiliation_strings":["Department of Microelectronic Engineering, Tyndall National Institute, University College Cork, Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Department of Microelectronic Engineering, Tyndall National Institute, University College Cork, Cork, Ireland","institution_ids":["https://openalex.org/I27577105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013367304","display_name":"S.H. Lewis","orcid":"https://orcid.org/0000-0003-4167-5867"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen H Lewis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075380777","display_name":"Bernard C. Levy","orcid":"https://orcid.org/0000-0002-4130-6781"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernard C Levy","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Davis, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071591062"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I27577105"],"apc_list":null,"apc_paid":null,"fwci":1.2668,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.80379035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"57","issue":"8","first_page":"1905","last_page":"1913"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9980999827384949,"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/T12564","display_name":"Sensor Technology and Measurement Systems","score":0.9667999744415283,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/delta-sigma-modulation","display_name":"Delta-sigma modulation","score":0.8596203923225403},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7656198740005493},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.6971401572227478},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6758849620819092},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5879377722740173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5190723538398743},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5136125087738037},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4598596394062042},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.44091400504112244},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2908484935760498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2887915372848511},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28175443410873413},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20505687594413757},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13402777910232544},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1088029146194458},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08645027875900269},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.08510324358940125}],"concepts":[{"id":"https://openalex.org/C68754193","wikidata":"https://www.wikidata.org/wiki/Q1184820","display_name":"Delta-sigma modulation","level":3,"score":0.8596203923225403},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7656198740005493},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.6971401572227478},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6758849620819092},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5879377722740173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5190723538398743},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5136125087738037},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4598596394062042},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.44091400504112244},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2908484935760498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2887915372848511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28175443410873413},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20505687594413757},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13402777910232544},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1088029146194458},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08645027875900269},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08510324358940125},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2009.2039257","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2009.2039257","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:20636","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/20636/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6100000143051147,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"},{"id":"https://openalex.org/F4320320863","display_name":"University College Cork","ror":"https://ror.org/03265fv13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W560475881","https://openalex.org/W629945696","https://openalex.org/W1492984241","https://openalex.org/W1521591241","https://openalex.org/W1531446014","https://openalex.org/W1591892647","https://openalex.org/W1667165204","https://openalex.org/W1766888123","https://openalex.org/W1857207637","https://openalex.org/W1964718894","https://openalex.org/W1980505907","https://openalex.org/W1983424317","https://openalex.org/W1994781711","https://openalex.org/W2018704819","https://openalex.org/W2024512685","https://openalex.org/W2025232524","https://openalex.org/W2025591491","https://openalex.org/W2030258400","https://openalex.org/W2036212759","https://openalex.org/W2067936044","https://openalex.org/W2091696547","https://openalex.org/W2103369810","https://openalex.org/W2116059849","https://openalex.org/W2117948529","https://openalex.org/W2120894588","https://openalex.org/W2132242631","https://openalex.org/W2134962970","https://openalex.org/W2135589601","https://openalex.org/W2146298723","https://openalex.org/W2150524153","https://openalex.org/W2156285952","https://openalex.org/W2157083307","https://openalex.org/W2157269402","https://openalex.org/W2157470323","https://openalex.org/W2160465108","https://openalex.org/W2160579191","https://openalex.org/W2171035445","https://openalex.org/W2478884216"],"related_works":["https://openalex.org/W2538983634","https://openalex.org/W2495953643","https://openalex.org/W2800677388","https://openalex.org/W2099210776","https://openalex.org/W2154555498","https://openalex.org/W2087338710","https://openalex.org/W33571542","https://openalex.org/W2146152074","https://openalex.org/W2065341556","https://openalex.org/W4233608695"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,15,20,27],"mathematical":[4],"analysis":[5,35],"of":[6,11,14],"the":[7,12,40,45,48],"power":[8],"spectral":[9],"density":[10],"output":[13],"nonlinear":[16],"block":[17],"driven":[18],"by":[19,44],"digital":[21],"delta-sigma":[22],"modulator.":[23],"The":[24,34],"nonlinearity":[25,46],"is":[26,50],"memoryless":[28],"third-order":[29],"polynomial":[30],"with":[31],"real":[32],"coefficients.":[33],"yields":[36],"expressions":[37],"that":[38],"predict":[39],"noise":[41],"floor":[42],"caused":[43],"when":[47],"input":[49],"constant.":[51]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
