{"id":"https://openalex.org/W2180490775","doi":"https://doi.org/10.1109/waspaa.2015.7336908","title":"A general and explicit formulation for wave digital filters with multiple/multiport nonlinearities and complicated topologies","display_name":"A general and explicit formulation for wave digital filters with multiple/multiport nonlinearities and complicated topologies","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2180490775","doi":"https://doi.org/10.1109/waspaa.2015.7336908","mag":"2180490775"},"language":"en","primary_location":{"id":"doi:10.1109/waspaa.2015.7336908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/waspaa.2015.7336908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)","raw_type":"proceedings-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/A5000698721","display_name":"Kurt James Werner","orcid":"https://orcid.org/0000-0003-0635-0258"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kurt James Werner","raw_affiliation_strings":["Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062363186","display_name":"Vaibhav Nangia","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vaibhav Nangia","raw_affiliation_strings":["Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015837093","display_name":"Julius O. Smith","orcid":"https://orcid.org/0000-0002-5251-2935"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julius O. Smith","raw_affiliation_strings":["Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111856554","display_name":"Jonathan S. Abel","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan S. Abel","raw_affiliation_strings":["Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8996,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91747657,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":null,"first_page":"1","last_page":"5"},"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9837999939918518,"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/T10205","display_name":"Advanced Fiber Optic Sensors","score":0.9710999727249146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6883229613304138},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.596140444278717},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.566800594329834},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5516709089279175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4939485192298889},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41931843757629395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39731985330581665},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33216530084609985},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2019156813621521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09464913606643677}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6883229613304138},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.596140444278717},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.566800594329834},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5516709089279175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4939485192298889},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41931843757629395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39731985330581665},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33216530084609985},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2019156813621521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09464913606643677},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/waspaa.2015.7336908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/waspaa.2015.7336908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1506714983","https://openalex.org/W1547021691","https://openalex.org/W1547850816","https://openalex.org/W1571071896","https://openalex.org/W1597053603","https://openalex.org/W1892300399","https://openalex.org/W1972580129","https://openalex.org/W1996432748","https://openalex.org/W1998589219","https://openalex.org/W2003377248","https://openalex.org/W2021281004","https://openalex.org/W2043333893","https://openalex.org/W2057845019","https://openalex.org/W2067922464","https://openalex.org/W2074067089","https://openalex.org/W2085505633","https://openalex.org/W2096179824","https://openalex.org/W2097913753","https://openalex.org/W2098988753","https://openalex.org/W2099587991","https://openalex.org/W2111751578","https://openalex.org/W2112545765","https://openalex.org/W2113223048","https://openalex.org/W2116763969","https://openalex.org/W2119212591","https://openalex.org/W2125565230","https://openalex.org/W2128067553","https://openalex.org/W2133545736","https://openalex.org/W2139030761","https://openalex.org/W2142852645","https://openalex.org/W2143588713","https://openalex.org/W2145694954","https://openalex.org/W2148923545","https://openalex.org/W2150737593","https://openalex.org/W2153293927","https://openalex.org/W2166546105","https://openalex.org/W2407882466","https://openalex.org/W2497365831","https://openalex.org/W2507109542","https://openalex.org/W2614441919","https://openalex.org/W2618891424","https://openalex.org/W6630435397","https://openalex.org/W6634325903","https://openalex.org/W6676950288","https://openalex.org/W6678587432","https://openalex.org/W6680641309","https://openalex.org/W6681459076","https://openalex.org/W6713437328","https://openalex.org/W6738133461"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W2770593030","https://openalex.org/W3081478936","https://openalex.org/W3154990682","https://openalex.org/W2560201613","https://openalex.org/W2785612136","https://openalex.org/W2171975302"],"abstract_inverted_index":{"A":[0,67],"general,":[1],"explicit,":[2],"and":[3,36,92,112],"novel":[4,38],"formulation":[5],"for":[6,40,99],"Wave":[7],"Digital":[8],"Filters":[9],"(WDFs)":[10],"with":[11,25,57,86],"multiple/multiport":[12],"nonlinearities":[13,56],"is":[14,82],"presented.":[15,83],"It":[16,50],"confronts":[17],"graph-theoretic":[18],"views":[19],"of":[20,46,54,60,75,106,114],"WDF":[21,101],"structures":[22],"(SPQR":[23],"tree)":[24],"techniques":[26],"from":[27],"the":[28,71,76,110],"nonlinear":[29],"loop":[30],"resolution":[31],"literature":[32],"(the":[33],"K":[34],"method)":[35],"a":[37],"method":[39],"deriving":[41],"scattering":[42],"matrices":[43],"(WDF":[44],"adaptors)":[45],"arbitrarily":[47],"complex":[48],"topologies.":[49],"accommodates":[51],"any":[52,58],"number":[53,59],"memoryless":[55],"ports":[61],"each":[62],"without":[63],"requiring":[64],"simplifying":[65],"assumptions.":[66],"case":[68],"study":[69],"on":[70],"first":[72],"clipping":[73],"stage":[74],"Big":[77],"Muff":[78],"Pi":[79],"distortion":[80],"pedal":[81],"This":[84],"circuit,":[85],"its":[87],"multiple":[88],"nonlinearities,":[89],"multiport":[90],"nonlinearity,":[91],"complicated":[93],"topology,":[94],"poses":[95],"an":[96],"intractable":[97],"problem":[98],"state-of-the-art":[100],"methods.":[102],"Hence,":[103],"successful":[104],"simulation":[105],"this":[107],"circuit":[108],"demonstrates":[109],"novelty":[111],"robustness":[113],"our":[115],"framework.":[116]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}