{"id":"https://openalex.org/W2010600592","doi":"https://doi.org/10.1080/10556780903254104","title":"A new hybrid descent method with application to the optimal design of finite precision FIR filters","display_name":"A new hybrid descent method with application to the optimal design of finite precision FIR filters","publication_year":2009,"publication_date":"2009-09-25","ids":{"openalex":"https://openalex.org/W2010600592","doi":"https://doi.org/10.1080/10556780903254104","mag":"2010600592"},"language":"en","primary_location":{"id":"doi:10.1080/10556780903254104","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780903254104","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://espace.curtin.edu.au/bitstream/20.500.11937/30127/2/133820_133820.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080468416","display_name":"Ka Fai Cedric Yiu","orcid":"https://orcid.org/0000-0002-7523-4069"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"K. F.C. Yiu","raw_affiliation_strings":["Department of Applied Mathematics , The Hong Kong Polytechnic University , Hunghom, Kowloon, Hong Kong, People\u2019s Republic of China","Department of Applied Mathematics , The Hong Kong Polytechnic University, Hunghom , Kowloon , Hong Kong , People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics , The Hong Kong Polytechnic University , Hunghom, Kowloon, Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics , The Hong Kong Polytechnic University, Hunghom , Kowloon , Hong Kong , People's Republic of China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103183089","display_name":"W. Y. Yan","orcid":"https://orcid.org/0009-0005-4407-7856"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"W. Y. Yan","raw_affiliation_strings":["Department of Electrical and Computer Engineering , Curtin University of Technology , Perth, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering , Curtin University of Technology , Perth, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010897184","display_name":"Kok Lay Teo","orcid":"https://orcid.org/0000-0002-5903-7698"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"K. L. Teo","raw_affiliation_strings":["Department of Mathematics and Statistics , Curtin University of Technology , Perth, Australia","Dept. of Mathematics and Statistics, Curtin University of Technology, Perth, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Curtin University of Technology , Perth, Australia","institution_ids":["https://openalex.org/I205640436"]},{"raw_affiliation_string":"Dept. of Mathematics and Statistics, Curtin University of Technology, Perth, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012742462","display_name":"Siow Yong Low","orcid":null},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"S. Y. Low","raw_affiliation_strings":["IMPCA, Department of Computing , Curtin University of Technology , Perth, Australia","IMPCA, Department of Computing, Curtin University of Technology, Perth, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"IMPCA, Department of Computing , Curtin University of Technology , Perth, Australia","institution_ids":["https://openalex.org/I205640436"]},{"raw_affiliation_string":"IMPCA, Department of Computing, Curtin University of Technology, Perth, Australia#TAB#","institution_ids":["https://openalex.org/I205640436"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080468416"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08699127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"5","first_page":"725","last_page":"735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9987000226974487,"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":0.9987000226974487,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9986000061035156,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/simulated-annealing","display_name":"Simulated annealing","score":0.717470109462738},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.679554283618927},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6789440512657166},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.6503735780715942},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.6220197081565857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.546215295791626},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.49439001083374023},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4927270710468292},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4732047915458679},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46145758032798767},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.44208601117134094},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.41146624088287354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3625882565975189},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3312150239944458},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.1965891420841217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07385426759719849},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.061918795108795166}],"concepts":[{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.717470109462738},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.679554283618927},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6789440512657166},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.6503735780715942},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.6220197081565857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.546215295791626},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.49439001083374023},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4927270710468292},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4732047915458679},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46145758032798767},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.44208601117134094},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.41146624088287354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3625882565975189},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3312150239944458},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1965891420841217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07385426759719849},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.061918795108795166},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10556780903254104","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780903254104","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:espace.curtin.edu.au:20.500.11937/30127","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11937/30127","pdf_url":"https://espace.curtin.edu.au/bitstream/20.500.11937/30127/2/133820_133820.pdf","source":{"id":"https://openalex.org/S4306401790","display_name":"eSpace (Curtin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205640436","host_organization_name":"Curtin University","host_organization_lineage":["https://openalex.org/I205640436"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:eprints.soton.ac.uk:370676","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/370676/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:hub.hku.hk:10722/155927","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/155927","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/24936","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/24936","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:espace.curtin.edu.au:20.500.11937/30127","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11937/30127","pdf_url":"https://espace.curtin.edu.au/bitstream/20.500.11937/30127/2/133820_133820.pdf","source":{"id":"https://openalex.org/S4306401790","display_name":"eSpace (Curtin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205640436","host_organization_name":"Curtin University","host_organization_lineage":["https://openalex.org/I205640436"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010600592.pdf","grobid_xml":"https://content.openalex.org/works/W2010600592.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1969128339","https://openalex.org/W1971820827","https://openalex.org/W1990898786","https://openalex.org/W2023170313","https://openalex.org/W2024060531","https://openalex.org/W2039676234","https://openalex.org/W2059415325","https://openalex.org/W2064404969","https://openalex.org/W2077658674","https://openalex.org/W2101426223","https://openalex.org/W2106688875","https://openalex.org/W2113911013","https://openalex.org/W2127539731","https://openalex.org/W2127918354","https://openalex.org/W2130161361","https://openalex.org/W2131162254","https://openalex.org/W2136049984","https://openalex.org/W2146622064","https://openalex.org/W2148965074","https://openalex.org/W2154061444","https://openalex.org/W2158865748","https://openalex.org/W3012317737","https://openalex.org/W4212997115"],"related_works":["https://openalex.org/W2895097035","https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W3092094777","https://openalex.org/W3212731412","https://openalex.org/W2607956695","https://openalex.org/W4297780756","https://openalex.org/W4289926321"],"abstract_inverted_index":{"In":[0],"this":[1,102],"paper,":[2],"the":[3,6,39,63,71,81,84],"problem":[4,65,69],"of":[5,9,22,41,83],"optimal":[7],"design":[8],"discrete":[10,64,95],"coefficient":[11],"FIR":[12],"filters":[13],"is":[14,31,45,59],"considered.":[15],"A":[16],"novel":[17],"hybrid":[18,86,103],"descent":[19,49,87,104],"method,":[20,30,88],"consisting":[21],"a":[23,28,67],"simulated":[24,34],"annealing":[25,35],"algorithm":[26,36],"and":[27,44],"gradient-based":[29,57],"proposed.":[32],"The":[33,56],"operates":[37],"on":[38],"space":[40],"orthogonal":[42],"matrices":[43],"used":[46],"to":[47,66],"locate":[48],"points":[50],"for":[51],"previously":[52],"converged":[53],"local":[54],"minima.":[55],"method":[58],"derived":[60],"from":[61],"converting":[62],"continuous":[68],"via":[70,101],"Stiefel":[72],"manifold,":[73],"where":[74],"convergence":[75],"can":[76,98],"be":[77,99],"guaranteed.":[78],"To":[79],"demonstrate":[80],"effectiveness":[82],"proposed":[85],"several":[89],"numerical":[90],"examples":[91],"show":[92],"that":[93],"better":[94],"filter":[96],"designs":[97],"sought":[100],"method.":[105]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2016-06-24T00:00:00"}