{"id":"https://openalex.org/W4206240144","doi":"https://doi.org/10.1109/tcsii.2022.3142167","title":"Complex-Valued Random Fourier Geometric Algebra Adaptive Filtering","display_name":"Complex-Valued Random Fourier Geometric Algebra Adaptive Filtering","publication_year":2022,"publication_date":"2022-01-11","ids":{"openalex":"https://openalex.org/W4206240144","doi":"https://doi.org/10.1109/tcsii.2022.3142167"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2022.3142167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3142167","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/A5073187884","display_name":"Gangyi Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gangyi Huang","raw_affiliation_strings":["College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103275889","display_name":"Minglin Shen","orcid":"https://orcid.org/0000-0001-8170-1930"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minglin Shen","raw_affiliation_strings":["College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027182060","display_name":"Dongyuan Lin","orcid":"https://orcid.org/0000-0002-7451-2477"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongyuan Lin","raw_affiliation_strings":["College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001616491","display_name":"Letian Qi","orcid":null},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Letian Qi","raw_affiliation_strings":["College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025136019","display_name":"Junhui Qian","orcid":"https://orcid.org/0000-0001-8017-725X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junhui Qian","raw_affiliation_strings":["School of Microelectronic and Communication Engineering and the Chongqing Key Laboratory of Bio-Perception and Intelligent Information Processing, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-8017-725X","affiliations":[{"raw_affiliation_string":"School of Microelectronic and Communication Engineering and the Chongqing Key Laboratory of Bio-Perception and Intelligent Information Processing, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100640301","display_name":"Shiyuan Wang","orcid":"https://orcid.org/0000-0002-5028-5839"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiyuan Wang","raw_affiliation_strings":["College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-5028-5839","affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5073187884"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":0.6122,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6577332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"69","issue":"4","first_page":"2346","last_page":"2350"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9975000023841858,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9837999939918518,"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/nonlinear-system","display_name":"Nonlinear system","score":0.5468681454658508},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5374612808227539},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.5132286548614502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48079434037208557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.451625257730484},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.43928852677345276},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4367663264274597},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4118586778640747},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37500548362731934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34363895654678345},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20177099108695984},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.1660175919532776},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14130884408950806},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14056190848350525},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09306195378303528}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5468681454658508},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5374612808227539},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.5132286548614502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48079434037208557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.451625257730484},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.43928852677345276},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4367663264274597},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4118586778640747},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37500548362731934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34363895654678345},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20177099108695984},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.1660175919532776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14130884408950806},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14056190848350525},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09306195378303528},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2022.3142167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3142167","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":[],"awards":[{"id":"https://openalex.org/G1255242861","display_name":null,"funder_award_id":"cstc2020jcyjmsxmX0234","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G230063549","display_name":null,"funder_award_id":"62071391","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8347029445","display_name":null,"funder_award_id":"2020jd001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W122875470","https://openalex.org/W1482404553","https://openalex.org/W1982175152","https://openalex.org/W2034358398","https://openalex.org/W2063363993","https://openalex.org/W2071820974","https://openalex.org/W2077598042","https://openalex.org/W2111052925","https://openalex.org/W2114865067","https://openalex.org/W2126709692","https://openalex.org/W2293860863","https://openalex.org/W2579153588","https://openalex.org/W2743707579","https://openalex.org/W2781953152","https://openalex.org/W2963073040","https://openalex.org/W2964844128","https://openalex.org/W2969412379","https://openalex.org/W2992645723","https://openalex.org/W2994462467","https://openalex.org/W3008422510","https://openalex.org/W3034841022","https://openalex.org/W3098588011","https://openalex.org/W3104802898","https://openalex.org/W4298680854","https://openalex.org/W6628696304","https://openalex.org/W6636581230","https://openalex.org/W6681302627","https://openalex.org/W6747838413"],"related_works":["https://openalex.org/W2964290513","https://openalex.org/W1482404553","https://openalex.org/W4296209631","https://openalex.org/W1593361846","https://openalex.org/W4327521644","https://openalex.org/W2978884468","https://openalex.org/W2168413811","https://openalex.org/W2005846134","https://openalex.org/W2561617217","https://openalex.org/W2369237035"],"abstract_inverted_index":{"The":[0,99],"complex-valued":[1,15,33,48,51,77,96,117,133],"fixed":[2,43],"dimensional":[3,44],"adaptive":[4,17,45,69],"filters":[5,18],"(CFDAFs)":[6],"can":[7,121],"improve":[8,88],"the":[9,22,27,61,64,71,89,92,107,123,127,145,148],"performance":[10],"and":[11,29,73,129,156],"computational":[12],"efficiency":[13,90],"of":[14,24,32,63,66,76,91,126,132,147,154],"kernel":[16],"(CKAFs),":[19],"but":[20],"have":[21],"challenge":[23],"over-coupling":[25],"for":[26,47,95],"real":[28,72,128],"imaginary":[30,74,130],"parts":[31,75,131],"signals.":[34],"To":[35],"this":[36,38],"end,":[37],"brief":[39],"proposes":[40],"a":[41],"novel":[42],"filter":[46],"signals":[49,78],"named":[50],"random":[52,82,101],"Fourier":[53,83,102],"geometric":[54,67,108],"algebra":[55,109],"least":[56],"mean":[57],"square":[58],"(CRFGALMS).":[59],"On":[60],"basis":[62],"framework":[65],"algebraic":[68],"filtering,":[70],"are":[79,141],"mapped":[80],"into":[81],"features":[84],"space":[85],"(RFFS)":[86],"to":[87,143],"nonlinear":[93,124,138],"mapping":[94,104,125],"signals,":[97,134],"respectively.":[98],"proposed":[100,149],"feature":[103],"based":[105],"on":[106,137],"is":[110],"endowed":[111],"with":[112],"superior":[113],"presentation":[114],"abilities":[115],"in":[116,152],"domain":[118],"as":[119],"it":[120],"decouple":[122],"efficiently.":[135],"Simulations":[136],"channel":[139],"equalization":[140],"used":[142],"illustrate":[144],"superiority":[146],"CRFGALMS":[150],"algorithm":[151],"terms":[153],"dimensionality":[155],"filtering":[157],"performance.":[158]},"counts_by_year":[{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
