{"id":"https://openalex.org/W2125124730","doi":"https://doi.org/10.1109/tc.1976.1674684","title":"Error Analysis of Two-Dimensional Recursive Digital Filters Employing Floating-Point Arithmetic","display_name":"Error Analysis of Two-Dimensional Recursive Digital Filters Employing Floating-Point Arithmetic","publication_year":1976,"publication_date":"1976-07-01","ids":{"openalex":"https://openalex.org/W2125124730","doi":"https://doi.org/10.1109/tc.1976.1674684","mag":"2125124730"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1976.1674684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1976.1674684","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"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 Computers","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/A5010034731","display_name":"Ming-Duenn Ni","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114573","display_name":"Applied Physical Electronics (United States)","ror":"https://ror.org/028btas66","country_code":"US","type":"company","lineage":["https://openalex.org/I4210114573"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ming-Duenn Ni","raw_affiliation_strings":["Department of Electrical Engineering and the Electronics Research Center, University of Texas","Department of Electrical Engineering and the Electronics Research Center, University of Technology, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Electronics Research Center, University of Texas","institution_ids":["https://openalex.org/I4210114573"]},{"raw_affiliation_string":"Department of Electrical Engineering and the Electronics Research Center, University of Technology, Austin, TX, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108587969","display_name":"Aggarwal","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aggarwal","raw_affiliation_strings":["Department of Electrical Engineering and the Electronics Research Center, University of Technology, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Electronics Research Center, University of Technology, Austin, TX, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010034731"],"corresponding_institution_ids":["https://openalex.org/I4210114573"],"apc_list":null,"apc_paid":null,"fwci":0.5096,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67587209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"C-25","issue":"7","first_page":"755","last_page":"759"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.7568734884262085},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.6842217445373535},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6638317704200745},{"id":"https://openalex.org/keywords/saturation-arithmetic","display_name":"Saturation arithmetic","score":0.6638155579566956},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.6591860055923462},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.6399138569831848},{"id":"https://openalex.org/keywords/affine-arithmetic","display_name":"Affine arithmetic","score":0.5958961248397827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5739496350288391},{"id":"https://openalex.org/keywords/fixed-point-arithmetic","display_name":"Fixed-point arithmetic","score":0.5386185050010681},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5146680474281311},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.45495572686195374},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.4501785635948181},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37723076343536377},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.26496434211730957},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.19031193852424622}],"concepts":[{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.7568734884262085},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.6842217445373535},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6638317704200745},{"id":"https://openalex.org/C182775192","wikidata":"https://www.wikidata.org/wiki/Q913725","display_name":"Saturation arithmetic","level":3,"score":0.6638155579566956},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.6591860055923462},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.6399138569831848},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.5958961248397827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5739496350288391},{"id":"https://openalex.org/C163973906","wikidata":"https://www.wikidata.org/wiki/Q649900","display_name":"Fixed-point arithmetic","level":3,"score":0.5386185050010681},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5146680474281311},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.45495572686195374},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.4501785635948181},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37723076343536377},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26496434211730957},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.19031193852424622},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1976.1674684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1976.1674684","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"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 Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1493818369","https://openalex.org/W1969895121","https://openalex.org/W2063966621","https://openalex.org/W2065143792","https://openalex.org/W2081138225","https://openalex.org/W2095459005","https://openalex.org/W2108562122","https://openalex.org/W2132720672","https://openalex.org/W2147863049","https://openalex.org/W2153453630","https://openalex.org/W2168218036","https://openalex.org/W2170142399","https://openalex.org/W6676533942"],"related_works":["https://openalex.org/W1272899506","https://openalex.org/W1885677000","https://openalex.org/W2113155657","https://openalex.org/W1965905913","https://openalex.org/W2184853271","https://openalex.org/W1496637154","https://openalex.org/W2016217268","https://openalex.org/W2142252430","https://openalex.org/W4245068234","https://openalex.org/W2048255984"],"abstract_inverted_index":{"In":[0],"this":[1],"correspondence,":[2],"error":[3,36],"analysis":[4],"for":[5],"two-dimensional":[6],"direct":[7],"form":[8],"recursive":[9],"digital":[10],"filters":[11],"employing":[12],"floating-point":[13],"arithmetic":[14],"is":[15,33],"carried":[16],"out.":[17],"A":[18],"systematic":[19],"way":[20],"of":[21],"estimating":[22],"the":[23,47],"mean-squared":[24],"errors":[25],"due":[26],"to":[27,51],"roundoff,":[28],"coefficient,":[29],"and":[30],"input":[31],"quantizations":[32],"discussed.":[34],"Norm":[35],"bounds":[37],"are":[38],"also":[39],"given.":[40],"Extensive":[41],"numerical":[42],"experiments":[43],"have":[44],"shown":[45],"that":[46],"present":[48],"approach":[49],"leads":[50],"satisfactory":[52],"results.":[53]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
