{"id":"https://openalex.org/W4404075287","doi":"https://doi.org/10.3390/e26110941","title":"Symmetry in Signals: A New Insight","display_name":"Symmetry in Signals: A New Insight","publication_year":2024,"publication_date":"2024-11-02","ids":{"openalex":"https://openalex.org/W4404075287","doi":"https://doi.org/10.3390/e26110941","pmid":"https://pubmed.ncbi.nlm.nih.gov/39593886"},"language":"en","primary_location":{"id":"doi:10.3390/e26110941","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26110941","pdf_url":"https://www.mdpi.com/1099-4300/26/11/941/pdf?version=1730720012","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/11/941/pdf?version=1730720012","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063563565","display_name":"Jean\u2010Marc Girault","orcid":"https://orcid.org/0000-0002-2356-885X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210108471","display_name":"Le Mans Universit\u00e9","ror":"https://ror.org/01mtcc283","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210108471"]},{"id":"https://openalex.org/I4210149659","display_name":"\u00c9cole Sup\u00e9rieure d'\u00c9lectronique de l'Ouest","ror":"https://ror.org/04nx9ps90","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210149659"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Marc Girault","raw_affiliation_strings":["Groupe ESEO, 49000 Angers, France","Laboratoire d\u2019Acoustique de l\u2019Universit\u00e9 du Mans (LAUM), UMR 6613, Institut d\u2019Acoustique\u2014Graduate School (IA-GS), CNRS, Le Mans Universit\u00e9, 72085 Le Mans, France"],"raw_orcid":"https://orcid.org/0000-0002-2356-885X","affiliations":[{"raw_affiliation_string":"Groupe ESEO, 49000 Angers, France","institution_ids":["https://openalex.org/I4210149659"]},{"raw_affiliation_string":"Laboratoire d\u2019Acoustique de l\u2019Universit\u00e9 du Mans (LAUM), UMR 6613, Institut d\u2019Acoustique\u2014Graduate School (IA-GS), CNRS, Le Mans Universit\u00e9, 72085 Le Mans, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210108471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063563565"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210108471","https://openalex.org/I4210149659"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2031,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57173211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"26","issue":"11","first_page":"941","last_page":"941"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5682978630065918},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5229971408843994},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.48220551013946533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38700392842292786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37846899032592773},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.356992244720459},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20351624488830566}],"concepts":[{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5682978630065918},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5229971408843994},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.48220551013946533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38700392842292786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37846899032592773},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.356992244720459},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20351624488830566}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e26110941","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26110941","pdf_url":"https://www.mdpi.com/1099-4300/26/11/941/pdf?version=1730720012","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:39593886","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39593886","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11592564","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11592564","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11592564/pdf/entropy-26-00941.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:HAL:hal-04782086v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04782086","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, 2024, 26 (11), pp.941. &#x27E8;10.3390/e26110941&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:b95a2d380a1b4613b2d4430bf7874e16","is_oa":true,"landing_page_url":"https://doaj.org/article/b95a2d380a1b4613b2d4430bf7874e16","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 11, p 941 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26110941","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26110941","pdf_url":"https://www.mdpi.com/1099-4300/26/11/941/pdf?version=1730720012","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4404075287.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W296861016","https://openalex.org/W1562935128","https://openalex.org/W2002634573","https://openalex.org/W2022585692","https://openalex.org/W2039729024","https://openalex.org/W2041804068","https://openalex.org/W2118212099","https://openalex.org/W2124792425","https://openalex.org/W2143214041","https://openalex.org/W2143600525","https://openalex.org/W2152409639","https://openalex.org/W2168276137","https://openalex.org/W2169472392","https://openalex.org/W2792352835","https://openalex.org/W3037308686","https://openalex.org/W3114433504","https://openalex.org/W3127812974","https://openalex.org/W3211966607","https://openalex.org/W4206625865","https://openalex.org/W4213089498","https://openalex.org/W4319315927","https://openalex.org/W4402517909"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W4231291595","https://openalex.org/W4245609766","https://openalex.org/W1606211735","https://openalex.org/W2329192282","https://openalex.org/W2026588291"],"abstract_inverted_index":{"Symmetry":[0],"is":[1,10],"a":[2,34,81,136,179,194],"fundamental":[3],"property":[4],"of":[5,36,61,68,104,130,183],"many":[6],"natural":[7],"systems,":[8,19],"which":[9],"observable":[11],"through":[12],"signals.":[13,40,109],"In":[14],"most":[15,67],"out-of-equilibrium":[16],"complex":[17,186],"dynamic":[18],"the":[20,56,120,128,147],"observed":[21],"signals":[22,62,115,133,143,187],"are":[23,116,162],"asymmetric.":[24],"However,":[25],"for":[26,89,139],"certain":[27],"operating":[28],"modes,":[29],"some":[30],"systems":[31],"have":[32,63],"demonstrated":[33],"resurgence":[35],"symmetry":[37,92,105,131,184],"in":[38,106,132,185],"their":[39],"Research":[41],"has":[42],"naturally":[43],"focused":[44,70],"on":[45,55,71,86,151],"examining":[46],"time":[47,94],"invariance":[48],"to":[49,100,118,164],"quantify":[50,165],"this":[51],"symmetry.":[52,77,166],"Measures":[53],"based":[54,85,150],"statistical":[57],"and":[58,112,134,141,160,177],"harmonic":[59,72],"properties":[60],"been":[64],"proposed,":[65],"but":[66],"them":[69],"distortion":[73],"without":[74],"explicitly":[75],"measuring":[76],"This":[78],"paper":[79],"introduces":[80],"new":[82,98,137,155],"mathematical":[83],"framework":[84],"group":[87],"theory":[88],"analyzing":[90],"signal":[91],"beyond":[93,146],"invariance.":[95],"It":[96],"presents":[97],"indicators":[99,171],"evaluate":[101],"different":[102],"types":[103],"non-stochastic":[107],"symmetric":[108,114],"Both":[110],"periodic":[111,140],"non-periodic":[113,142],"analyzed":[117],"formalize":[119],"problem.":[121],"The":[122],"study":[123],"raises":[124],"critical":[125],"questions":[126],"about":[127],"completeness":[129],"proposes":[135],"classification":[138,149],"that":[144],"goes":[145],"traditional":[148,170],"Fourier":[152],"coefficients.":[153],"Furthermore,":[154],"measures":[156,168],"such":[157],"as":[158],"\"symmetrometry\"":[159],"\"distorsymmetry\"":[161],"introduced":[163],"These":[167],"outperform":[169],"like":[172],"Total":[173],"Harmonic":[174],"Distortion":[175],"(THD)":[176],"provide":[178],"more":[180],"accurate":[181],"measurement":[182],"from":[188],"applications":[189],"where":[190],"duty":[191],"cycle":[192],"plays":[193],"major":[195],"role.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
