{"id":"https://openalex.org/W1582802997","doi":"https://doi.org/10.1109/iscas.2003.1205812","title":"A generalized direct-form II transposed structure for IIR filter implementation with minimal roundoff noise gain","display_name":"A generalized direct-form II transposed structure for IIR filter implementation with minimal roundoff noise gain","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W1582802997","doi":"https://doi.org/10.1109/iscas.2003.1205812","mag":"1582802997"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1205812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5087154354","display_name":"G. Li","orcid":"https://orcid.org/0009-0000-3277-3655"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"G. Li","raw_affiliation_strings":["School of EEE, Nanyang Technological University, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of EEE, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ, Singapore#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110233940","display_name":"Z.X. Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Z.X. Zhao","raw_affiliation_strings":["School of EEE, Nanyang Technological University, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of EEE, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ, Singapore#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111917507","display_name":"J.X. Hao","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"J.X. Hao","raw_affiliation_strings":["School of EEE, Nanyang Technological University, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of EEE, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ, Singapore#TAB#","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":1.924,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.84171008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"IV","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/delta-operator","display_name":"Delta operator","score":0.7316933274269104},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6086399555206299},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.57497239112854},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5668661594390869},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5037803053855896},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4916697144508362},{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.4429216980934143},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37505263090133667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35993367433547974},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.3519080877304077},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3367347717285156},{"id":"https://openalex.org/keywords/shift-operator","display_name":"Shift operator","score":0.2987256646156311},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.22301065921783447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19544348120689392},{"id":"https://openalex.org/keywords/compact-operator","display_name":"Compact operator","score":0.11457523703575134}],"concepts":[{"id":"https://openalex.org/C115633367","wikidata":"https://www.wikidata.org/wiki/Q5254796","display_name":"Delta operator","level":5,"score":0.7316933274269104},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6086399555206299},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.57497239112854},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5668661594390869},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5037803053855896},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4916697144508362},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.4429216980934143},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37505263090133667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35993367433547974},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.3519080877304077},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3367347717285156},{"id":"https://openalex.org/C65630602","wikidata":"https://www.wikidata.org/wiki/Q2278680","display_name":"Shift operator","level":4,"score":0.2987256646156311},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.22301065921783447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19544348120689392},{"id":"https://openalex.org/C79013869","wikidata":"https://www.wikidata.org/wiki/Q1780743","display_name":"Compact operator","level":3,"score":0.11457523703575134},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"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/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2003.1205812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.800000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W124815405","https://openalex.org/W658567759","https://openalex.org/W1814021024","https://openalex.org/W1966384140","https://openalex.org/W2011216539","https://openalex.org/W2044271574","https://openalex.org/W2105153734","https://openalex.org/W2113834812","https://openalex.org/W2116865694","https://openalex.org/W2121968961","https://openalex.org/W2140802901","https://openalex.org/W2147874601","https://openalex.org/W2149457238","https://openalex.org/W2399582925","https://openalex.org/W2730973634","https://openalex.org/W6638584499","https://openalex.org/W6712560778"],"related_works":["https://openalex.org/W2095847640","https://openalex.org/W2065338826","https://openalex.org/W2765889801","https://openalex.org/W3211972912","https://openalex.org/W1980000023","https://openalex.org/W2766165353","https://openalex.org/W2092836648","https://openalex.org/W2238142701","https://openalex.org/W2649360600","https://openalex.org/W2268417969"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"based":[3],"on":[4],"a":[5,9,17,76],"polynomial":[6,36,72],"operator":[7],"approach":[8],"new":[10],"structure":[11,15,51],"is":[12,16,67],"derived.":[13],"This":[14],"generalization":[18],"of":[19,35,41,49],"the":[20,26,30,45,50,54,63,70,81],"direct-form":[21],"II":[22],"transposed":[23],"structures":[24],"in":[25],"conventional":[27],"shift-operator":[28],"and":[29,83],"prevailing":[31],"delta-operator.":[32],"The":[33],"use":[34],"operators":[37,73],"provides":[38],"more":[39],"degrees":[40],"freedom":[42],"for":[43],"minimizing":[44],"roundoff":[46],"noise":[47],"gain":[48],"without":[52],"increasing":[53],"computation":[55],"complexity.":[56],"Numerical":[57],"examples":[58],"are":[59],"presented":[60],"to":[61],"illustrate":[62],"design":[64],"procedure.":[65],"It":[66],"shown":[68],"that":[69],"optimized":[71],"can":[74],"yield":[75],"much":[77],"better":[78],"performance":[79],"than":[80],"shift":[82],"delta":[84],"operators.":[85]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}