{"id":"https://openalex.org/W2162626524","doi":"https://doi.org/10.1109/tcsi.2010.2043015","title":"Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital All-Pass Filters","display_name":"Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital All-Pass Filters","publication_year":2010,"publication_date":"2010-03-30","ids":{"openalex":"https://openalex.org/W2162626524","doi":"https://doi.org/10.1109/tcsi.2010.2043015","mag":"2162626524"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2010.2043015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2010.2043015","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 I: Regular Papers","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":["Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"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/A5070044177","display_name":"Yuan\u2010Hau Yang","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"]},{"id":"https://openalex.org/I4210111328","display_name":"Novatek Microelectronics (Taiwan)","ror":"https://ror.org/02s6rdg38","country_code":"TW","type":"company","lineage":["https://openalex.org/I4210111328"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yuan-Hau Yang","raw_affiliation_strings":["Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","Novatek Microelectronics Corporation Limited, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Novatek Microelectronics Corporation Limited, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I4210111328"]}]}],"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":1.3485,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82122941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"9","first_page":"2498","last_page":"2508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.998199999332428,"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":0.998199999332428,"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/T10299","display_name":"Photonic and Optical Devices","score":0.9921000003814697,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9714999794960022,"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/quadrature-mirror-filter","display_name":"Quadrature mirror filter","score":0.8076471090316772},{"id":"https://openalex.org/keywords/parallelogram","display_name":"Parallelogram","score":0.5558081865310669},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5398470759391785},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5060471892356873},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.46487095952033997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44379061460494995},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.43854567408561707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4381019175052643},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.42811664938926697},{"id":"https://openalex.org/keywords/filter-bank","display_name":"Filter bank","score":0.4240013360977173},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.3638133108615875},{"id":"https://openalex.org/keywords/prototype-filter","display_name":"Prototype filter","score":0.2237783670425415},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.21881461143493652},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17975136637687683},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16381266713142395},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.15571445226669312},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.10570859909057617},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10462436079978943},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09169337153434753}],"concepts":[{"id":"https://openalex.org/C64621657","wikidata":"https://www.wikidata.org/wiki/Q2699730","display_name":"Quadrature mirror filter","level":5,"score":0.8076471090316772},{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.5558081865310669},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5398470759391785},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5060471892356873},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.46487095952033997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44379061460494995},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.43854567408561707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4381019175052643},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.42811664938926697},{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.4240013360977173},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.3638133108615875},{"id":"https://openalex.org/C175742284","wikidata":"https://www.wikidata.org/wiki/Q1415537","display_name":"Prototype filter","level":4,"score":0.2237783670425415},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.21881461143493652},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17975136637687683},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16381266713142395},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.15571445226669312},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.10570859909057617},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10462436079978943},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09169337153434753},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2010.2043015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2010.2043015","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 I: Regular Papers","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":25,"referenced_works":["https://openalex.org/W1481646516","https://openalex.org/W1588345844","https://openalex.org/W1661542135","https://openalex.org/W1969977682","https://openalex.org/W2008918457","https://openalex.org/W2011062840","https://openalex.org/W2032620901","https://openalex.org/W2040948494","https://openalex.org/W2043813810","https://openalex.org/W2053913299","https://openalex.org/W2069323107","https://openalex.org/W2082169577","https://openalex.org/W2086920040","https://openalex.org/W2109313346","https://openalex.org/W2115301940","https://openalex.org/W2120041316","https://openalex.org/W2136302579","https://openalex.org/W2137025896","https://openalex.org/W2139282155","https://openalex.org/W2146756377","https://openalex.org/W2147645393","https://openalex.org/W2156185209","https://openalex.org/W2156677329","https://openalex.org/W2207344428","https://openalex.org/W6688004650"],"related_works":["https://openalex.org/W2128189757","https://openalex.org/W2295095252","https://openalex.org/W2152958408","https://openalex.org/W2087734817","https://openalex.org/W1790877455","https://openalex.org/W2183101736","https://openalex.org/W2743919373","https://openalex.org/W2124061789","https://openalex.org/W2733324998","https://openalex.org/W2124417808"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,56,97],"novel":[4],"structure":[5],"for":[6,38,143],"the":[7,35,47,51,63,72,87,100,105,110,132],"analysis":[8],"and":[9,65,145],"synthesis":[10],"filters":[11,24,54],"of":[12,46,67,86,99],"two-channel":[13,68],"parallelogram":[14],"quadrature":[15],"mirror":[16],"filter":[17],"(PQMF)":[18],"banks.":[19,70],"Two-dimensional":[20],"recursive":[21],"digital":[22],"all-pass":[23],"(DAFs)":[25],"with":[26,104],"nonsymmetric":[27],"half-plane":[28],"(NSHP)":[29],"support":[30],"regions":[31],"are":[32,128,147],"used":[33],"as":[34],"basic":[36],"sections":[37],"building":[39],"this":[40],"structure.":[41],"With":[42],"an":[43],"appropriate":[44],"combination":[45],"2-D":[48,57,106],"NSHP":[49,107],"DAFs,":[50],"resultant":[52],"analysis/synthesis":[53],"possess":[55],"doubly":[58],"complementary":[59],"symmetry":[60],"that":[61],"facilitates":[62],"design":[64,84,126],"implementation":[66],"PQMF":[69,74,89],"Moreover,":[71],"proposed":[73,88],"bank":[75,90],"provides":[76],"approximately":[77],"linear-phase":[78,101],"response":[79],"without":[80],"magnitude":[81],"distortion.":[82],"The":[83],"problem":[85],"is":[91],"appropriately":[92],"formulated":[93],"to":[94,130],"result":[95],"in":[96,109],"minimization":[98],"error":[102],"associated":[103],"DAFs":[108],"<formula":[111,118,133],"formulatype=\"inline\"":[112,119,134],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[113,120,135],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[114,121],"<tex":[115,122],"Notation=\"TeX\">$p$</tex></formula>":[116],"th-norm":[117],"Notation=\"TeX\">$(L_{p})$</tex></formula>":[123],"sense.":[124],"Efficient":[125],"techniques":[127],"developed":[129],"solve":[131],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[136],"Notation=\"TeX\">$L_{p}$</tex>":[137],"</formula>":[138],"optimization":[139],"problems.":[140],"Simulation":[141],"results":[142],"illustration":[144],"comparison":[146],"also":[148],"provided.":[149]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}