{"id":"https://openalex.org/W2102696374","doi":"https://doi.org/10.1109/icassp.2006.1660710","title":"Generalized Spectral Theory for \u03a3\u0394 Quantization with Constant Inputs","display_name":"Generalized Spectral Theory for \u03a3\u0394 Quantization with Constant Inputs","publication_year":2006,"publication_date":"2006-08-03","ids":{"openalex":"https://openalex.org/W2102696374","doi":"https://doi.org/10.1109/icassp.2006.1660710","mag":"2102696374"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2006.1660710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1660710","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","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/A5064276318","display_name":"Nguyen T. Thao","orcid":"https://orcid.org/0000-0002-6797-2811"},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I4210093530","display_name":"City College","ror":"https://ror.org/00h90tg62","country_code":"US","type":"education","lineage":["https://openalex.org/I4210093530"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N.T. Thao","raw_affiliation_strings":["Department of Electrical Engineering,City College and Graduate Center, City University of New York, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering,City College and Graduate Center, City University of New York, New York, NY, USA","institution_ids":["https://openalex.org/I174216632","https://openalex.org/I4210093530","https://openalex.org/I125687163","https://openalex.org/I121847817"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081116332","display_name":"Sinan Gunturk","orcid":null},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Gunturk","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2885,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64766143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"540"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10299","display_name":"Photonic and Optical Devices","score":0.9912999868392944,"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/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9907000064849854,"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/quantization","display_name":"Quantization (signal processing)","score":0.775921106338501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5217660069465637},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5095060467720032},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.4982917308807373},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49380144476890564},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4276980459690094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37032103538513184},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13608214259147644}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.775921106338501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5217660069465637},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5095060467720032},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.4982917308807373},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49380144476890564},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4276980459690094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37032103538513184},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13608214259147644},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2006.1660710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1660710","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W202356670","https://openalex.org/W605564925","https://openalex.org/W2047736787","https://openalex.org/W2050577087","https://openalex.org/W2052731225","https://openalex.org/W2058548300","https://openalex.org/W2060847388","https://openalex.org/W2087512568","https://openalex.org/W2150786674","https://openalex.org/W2218206570","https://openalex.org/W2993508114","https://openalex.org/W4299973078"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W1970313336","https://openalex.org/W4388175706","https://openalex.org/W3170865983","https://openalex.org/W2356126862","https://openalex.org/W2112928736","https://openalex.org/W4235576806","https://openalex.org/W3130054936","https://openalex.org/W4295350473"],"abstract_inverted_index":{"The":[0],"quantization":[1,36,60],"operation":[2],"has":[3,27],"been":[4],"traditionally":[5],"analyzed":[6],"in":[7,31],"signal":[8],"processing":[9],"and":[10],"data":[11],"conversion":[12],"as":[13,40,42],"a":[14],"source":[15],"of":[16,22,48,68],"white":[17],"noise":[18],"although":[19],"it":[20],"is":[21],"deterministic":[23],"nature.":[24],"This":[25],"model":[26],"become":[28],"particularly":[29],"inaccurate":[30],"\u03a3\u0394":[32,49],"modulation":[33],"where":[34],"the":[35,59,65],"resolution":[37],"can":[38],"be":[39],"low":[41],"1-bit.":[43],"For":[44],"an":[45],"important":[46],"class":[47],"modulators":[50],"with":[51],"constant":[52],"inputs,":[53],"we":[54],"build":[55],"rigorous":[56],"foundations":[57],"to":[58],"error":[61],"analysis":[62],"based":[63],"on":[64],"spectral":[66],"theory":[67],"unitary":[69],"operators.":[70]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}