{"id":"https://openalex.org/W2122645855","doi":"https://doi.org/10.1109/icassp.2004.1326700","title":"Sigma-delta quantization and finite frames","display_name":"Sigma-delta quantization and finite frames","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2122645855","doi":"https://doi.org/10.1109/icassp.2004.1326700","mag":"2122645855"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2004.1326700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2004.1326700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 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/A5088060405","display_name":"John J. Benedetto","orcid":"https://orcid.org/0000-0003-0257-6401"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J.J. Benedetto","raw_affiliation_strings":["Dept. of Math., Maryland Univ., College Park, MD, USA","Dept. of Math., Maryland, Univ. College Park, MD, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Math., Maryland Univ., College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept. of Math., Maryland, Univ. College Park, MD, USA#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":null,"display_name":"O. Yilmaz","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"O. Yilmaz","raw_affiliation_strings":["Dept. of Math., Maryland Univ., College Park, MD, USA","Dept. of Math., Maryland, Univ. College Park, MD, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Math., Maryland Univ., College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept. of Math., Maryland, Univ. College Park, MD, USA#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037280534","display_name":"Alexander M. Powell","orcid":"https://orcid.org/0000-0001-6911-1890"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.M. Powell","raw_affiliation_strings":["Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA","Vanderbilt University"],"affiliations":[{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Vanderbilt University","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088060405"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":6.2866,"has_fulltext":false,"cited_by_count":113,"citation_normalized_percentile":{"value":0.97041606,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"iii","last_page":"937"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9797999858856201,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9675999879837036,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.6279088258743286},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.599911630153656},{"id":"https://openalex.org/keywords/delta-sigma-modulation","display_name":"Delta-sigma modulation","score":0.49333396553993225},{"id":"https://openalex.org/keywords/delta","display_name":"Delta","score":0.45032185316085815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4458228647708893},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3491566479206085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3377169966697693},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2840134799480438},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11238178610801697},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11061742901802063},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.08038285374641418}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6279088258743286},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.599911630153656},{"id":"https://openalex.org/C68754193","wikidata":"https://www.wikidata.org/wiki/Q1184820","display_name":"Delta-sigma modulation","level":3,"score":0.49333396553993225},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.45032185316085815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4458228647708893},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3491566479206085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3377169966697693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2840134799480438},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11238178610801697},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11061742901802063},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08038285374641418},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2004.1326700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2004.1326700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.512.1531","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.512.1531","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://signal.ese.wustl.edu/MURI/publications/01624636.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.94.8896","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.94.8896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ubc.ca/~oyilmaz/pubs/icassp_ffsd.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W39752266","https://openalex.org/W118952169","https://openalex.org/W605564925","https://openalex.org/W1524562370","https://openalex.org/W1531446014","https://openalex.org/W1570190641","https://openalex.org/W1571821595","https://openalex.org/W1580014081","https://openalex.org/W1607458528","https://openalex.org/W1966245736","https://openalex.org/W1976318178","https://openalex.org/W1989877067","https://openalex.org/W1989995562","https://openalex.org/W2001968606","https://openalex.org/W2042280087","https://openalex.org/W2050507755","https://openalex.org/W2062024414","https://openalex.org/W2075433161","https://openalex.org/W2086869478","https://openalex.org/W2105037400","https://openalex.org/W2109836220","https://openalex.org/W2119337797","https://openalex.org/W2124699935","https://openalex.org/W2125358031","https://openalex.org/W2125952551","https://openalex.org/W2130528435","https://openalex.org/W2140051381","https://openalex.org/W2142362467","https://openalex.org/W2144424682","https://openalex.org/W2146118141","https://openalex.org/W2165145454","https://openalex.org/W2168719276","https://openalex.org/W2170678594","https://openalex.org/W2182304189"],"related_works":["https://openalex.org/W4221046490","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W4297616267","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2135268282","https://openalex.org/W4233608695"],"abstract_inverted_index":{"It":[0],"is":[1,34],"shown":[2,35],"that":[3,36],"sigma-delta":[4],"(/spl":[5],"Sigma//spl":[6,38],"Delta/)":[7],"algorithms":[8],"can":[9],"be":[10],"used":[11],"effectively":[12],"to":[13],"quantize":[14],"finite":[15],"frame":[16,26],"expansions":[17,27],"for":[18,23],"R/sup":[19],"d/.":[20],"Error":[21],"estimates":[22],"various":[24],"quantized":[25],"are":[28],"derived,":[29],"and,":[30],"in":[31],"particular,":[32],"it":[33],"/spl":[37],"Delta/":[39],"quantizers":[40],"outperform":[41],"the":[42],"standard":[43],"PCM":[44],"schemes.":[45]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":11}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
