{"id":"https://openalex.org/W2292882697","doi":"https://doi.org/10.1109/tcsii.2015.2482466","title":"Phase Characteristics for the Stability of 2-D Quarter-Plane Recursive Digital All-Pass Filters","display_name":"Phase Characteristics for the Stability of 2-D Quarter-Plane Recursive Digital All-Pass Filters","publication_year":2015,"publication_date":"2015-09-25","ids":{"openalex":"https://openalex.org/W2292882697","doi":"https://doi.org/10.1109/tcsii.2015.2482466","mag":"2292882697"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2015.2482466","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2015.2482466","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 II: Express Briefs","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/A5101759745","display_name":"Ju-Hong Lee","orcid":"https://orcid.org/0000-0003-3141-6917"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ju-Hong Lee","raw_affiliation_strings":["Department of Electrical Engineering, Graduate Institute of Communication Engineering and Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Graduate Institute of Communication Engineering and Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071509033","display_name":"Jiun-Shian Du","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jiun-Shian Du","raw_affiliation_strings":["Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101759745"],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16505364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"63","issue":"3","first_page":"289","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"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":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9932000041007996,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7036216259002686},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6408026814460754},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6302449703216553},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6087219715118408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5975058078765869},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5267096161842346},{"id":"https://openalex.org/keywords/phase-plane","display_name":"Phase plane","score":0.4959469735622406},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.4958132207393646},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4785252809524536},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4766339063644409},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4570893943309784},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4055434465408325},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3347506523132324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3271961808204651},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20473229885101318},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11719590425491333},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08114674687385559},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07938393950462341},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07088819146156311}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7036216259002686},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6408026814460754},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6302449703216553},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6087219715118408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5975058078765869},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5267096161842346},{"id":"https://openalex.org/C157626765","wikidata":"https://www.wikidata.org/wiki/Q2088081","display_name":"Phase plane","level":3,"score":0.4959469735622406},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.4958132207393646},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4785252809524536},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4766339063644409},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4570893943309784},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4055434465408325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3347506523132324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3271961808204651},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20473229885101318},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11719590425491333},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08114674687385559},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07938393950462341},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07088819146156311},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2015.2482466","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2015.2482466","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G1716176145","display_name":null,"funder_award_id":"MOST100-2221-E002-200-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G2345590437","display_name":null,"funder_award_id":"MOST103-2221-E002-123-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1481646516","https://openalex.org/W1530768209","https://openalex.org/W1964310290","https://openalex.org/W2011062840","https://openalex.org/W2040612424","https://openalex.org/W2040859638","https://openalex.org/W2073237150","https://openalex.org/W2086317049","https://openalex.org/W2093063936","https://openalex.org/W2097772361","https://openalex.org/W2101127805","https://openalex.org/W2111670850","https://openalex.org/W2132150310","https://openalex.org/W2139117407","https://openalex.org/W2147645393","https://openalex.org/W2147863049","https://openalex.org/W2150736972","https://openalex.org/W2171846963"],"related_works":["https://openalex.org/W2009525028","https://openalex.org/W4321064619","https://openalex.org/W2794559785","https://openalex.org/W2963936214","https://openalex.org/W2076561698","https://openalex.org/W2053599029","https://openalex.org/W4301895170","https://openalex.org/W2962925412","https://openalex.org/W1754499339","https://openalex.org/W2048118513"],"abstract_inverted_index":{"In":[0],"this":[1,117],"brief,":[2],"the":[3,22,31,40,46,74,78,84,92,101,120,126,132],"monotone":[4],"phase-response":[5],"property":[6,72,94],"of":[7,33,48,76,80,91,105],"a":[8,106],"2-D":[9,60,107,127],"causal":[10],"digital":[11],"all-pass":[12],"filter":[13],"(DAF)":[14],"with":[15],"real":[16,34],"coefficients":[17,20],"or":[18],"complex":[19],"in":[21],"quarter":[23],"plane":[24],"(QP)":[25],"support":[26],"region":[27],"is":[28,55,64,95,113,122],"presented.":[29],"Regarding":[30],"circumstance":[32],"coefficients,":[35],"we":[36],"also":[37,123],"prove":[38],"that":[39],"previously":[41,85],"proposed":[42,86],"stability":[43,121],"criterion":[44],"on":[45],"viewpoint":[47],"unwrapped":[49],"phase":[50,81,103],"by":[51,125],"Pei":[52],"and":[53,57,119,131],"Shyu":[54],"necessary":[56],"sufficient":[58,66],"for":[59,67,100,135],"separable":[61],"DAFs":[62],"but":[63],"only":[65],"QP":[68],"DAFs.":[69],"The":[70],"resultant":[71],"possesses":[73],"advantage":[75],"increasing":[77],"freedom":[79],"design":[82,111],"over":[83],"one.":[87],"A":[88,110],"remarkable":[89],"application":[90],"presented":[93],"choosing":[96],"an":[97],"appropriate":[98],"specification":[99],"desired":[102],"response":[104],"DAF":[108],"design.":[109],"example":[112],"given":[114],"to":[115],"show":[116],"application,":[118],"inspected":[124],"spectral":[128],"factorization":[129],"algorithm":[130],"root":[133],"maps":[134],"confirmation.":[136]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}