{"id":"https://openalex.org/W2096342300","doi":"https://doi.org/10.3390/e13091648","title":"Wavelet Fisher\u2019s Information Measure of 1=f \u03b1 Signals","display_name":"Wavelet Fisher\u2019s Information Measure of 1=f \u03b1 Signals","publication_year":2011,"publication_date":"2011-09-06","ids":{"openalex":"https://openalex.org/W2096342300","doi":"https://doi.org/10.3390/e13091648","mag":"2096342300"},"language":"en","primary_location":{"id":"doi:10.3390/e13091648","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13091648","pdf_url":"https://www.mdpi.com/1099-4300/13/9/1648/pdf?version=1424784833","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/13/9/1648/pdf?version=1424784833","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065050491","display_name":"Julio C\u00e9sar Ram\u00edrez Pacheco","orcid":"https://orcid.org/0000-0002-0397-6063"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Julio Ram\u00edrez-Pacheco","raw_affiliation_strings":["Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico","Department of Electrical Engineering, CINVESTAV-IPN Unidad Guadalajara, 45015 Av. Cien\u00edfica 1145, Col. El Baj\u00edo, Zapop\u00e1n, Jalisco, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering, CINVESTAV-IPN Unidad Guadalajara, 45015 Av. Cien\u00edfica 1145, Col. El Baj\u00edo, Zapop\u00e1n, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086698147","display_name":"Deni Torres-Rom\u00e1n","orcid":"https://orcid.org/0000-0002-9813-7712"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Deni Torres-Rom\u00e1n","raw_affiliation_strings":["Department of Electrical Engineering, CINVESTAV-IPN Unidad Guadalajara, 45015 Av. Cien\u00edfica 1145, Col. El Baj\u00edo, Zapop\u00e1n, Jalisco, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, CINVESTAV-IPN Unidad Guadalajara, 45015 Av. Cien\u00edfica 1145, Col. El Baj\u00edo, Zapop\u00e1n, Jalisco, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048152060","display_name":"Luis Rizo-Dom\u00ednguez","orcid":"https://orcid.org/0000-0001-9393-5320"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Rizo-Dominguez","raw_affiliation_strings":["Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025309299","display_name":"Joel Antonio Trejo-S\u00e1nchez","orcid":"https://orcid.org/0000-0001-9326-7713"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joel Trejo-Sanchez","raw_affiliation_strings":["Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022133437","display_name":"Francisco Manzano-Pinz\u00f3n","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francisco Manzano-Pinz\u00f3n","raw_affiliation_strings":["Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Engineering, University of Caribe, 77528, SM-78, Mza-1, Lote-1, Esquina Fracc. Tabachines, Canc\u00fan, Q.Roo, M\u00e9xico","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065050491"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5232,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70000825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"9","first_page":"1648","last_page":"1663"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9923999905586243,"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":0.9923999905586243,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9922999739646912,"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/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9900000095367432,"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/wavelet","display_name":"Wavelet","score":0.8629002571105957},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6496446132659912},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6392587423324585},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.5972670316696167},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5147769451141357},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4366213381290436},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.42258796095848083},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4143609404563904},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.4141806662082672},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3888995051383972},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36169278621673584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3288326859474182},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3033183217048645},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30192315578460693},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16473299264907837},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11768332123756409}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8629002571105957},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6496446132659912},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6392587423324585},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.5972670316696167},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5147769451141357},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4366213381290436},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.42258796095848083},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4143609404563904},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.4141806662082672},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3888995051383972},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36169278621673584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3288326859474182},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3033183217048645},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30192315578460693},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16473299264907837},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11768332123756409},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e13091648","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13091648","pdf_url":"https://www.mdpi.com/1099-4300/13/9/1648/pdf?version=1424784833","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":"pmh:oai:rei.iteso.mx:11117/2915","is_oa":true,"landing_page_url":"http://hdl.handle.net/11117/2915","pdf_url":"https://rei.iteso.mx/bitstreams/bcd9e177-7cc2-4e28-b21e-558318e9735e/download","source":{"id":"https://openalex.org/S4377196641","display_name":"ITESO Institutional Repository (ReI) (Western Institute of Technology and Higher Education)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I113686770","host_organization_name":"Instituto Tecnol\u00f3gico y de Estudios Superiores de Occidente","host_organization_lineage":["https://openalex.org/I113686770"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:8fc185952801440988438aa55164586a","is_oa":true,"landing_page_url":"https://doaj.org/article/8fc185952801440988438aa55164586a","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 13, Iss 9, Pp 1648-1663 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e13091648","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13091648","pdf_url":"https://www.mdpi.com/1099-4300/13/9/1648/pdf?version=1424784833","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":[{"id":"https://openalex.org/G1001415852","display_name":null,"funder_award_id":"47609","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320335331","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2096342300.pdf","grobid_xml":"https://content.openalex.org/works/W2096342300.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W100200759","https://openalex.org/W1967071544","https://openalex.org/W1972215088","https://openalex.org/W1980215498","https://openalex.org/W1980771542","https://openalex.org/W1984384167","https://openalex.org/W1990305300","https://openalex.org/W1991926769","https://openalex.org/W1992839121","https://openalex.org/W1996830571","https://openalex.org/W1998009571","https://openalex.org/W2018176499","https://openalex.org/W2019371791","https://openalex.org/W2021427912","https://openalex.org/W2022894179","https://openalex.org/W2038044579","https://openalex.org/W2038689382","https://openalex.org/W2048224016","https://openalex.org/W2053270905","https://openalex.org/W2057183507","https://openalex.org/W2058431076","https://openalex.org/W2058892816","https://openalex.org/W2061951880","https://openalex.org/W2062936942","https://openalex.org/W2062962812","https://openalex.org/W2066795034","https://openalex.org/W2075771673","https://openalex.org/W2078355631","https://openalex.org/W2081438405","https://openalex.org/W2094340188","https://openalex.org/W2102616700","https://openalex.org/W2105818147","https://openalex.org/W2132885249","https://openalex.org/W2137725485","https://openalex.org/W2148934434","https://openalex.org/W2151296573","https://openalex.org/W2163229535","https://openalex.org/W2164214015","https://openalex.org/W2319085245","https://openalex.org/W2495764367","https://openalex.org/W2563398606","https://openalex.org/W6645562632"],"related_works":["https://openalex.org/W3124771927","https://openalex.org/W3212925274","https://openalex.org/W4225940264","https://openalex.org/W2750125254","https://openalex.org/W2111510771","https://openalex.org/W2057609120","https://openalex.org/W2114041665","https://openalex.org/W2889544313","https://openalex.org/W4380714911","https://openalex.org/W2939693078"],"abstract_inverted_index":{"This":[0],"article":[1],"defines":[2],"the":[3,29,86,92],"concept":[4],"of":[5,17,72,88],"wavelet-based":[6],"Fisher\u2019s":[7,25],"information":[8,26],"measure":[9,19,27],"(wavelet":[10],"FIM)":[11],"and":[12,36,45,61,80,83],"develops":[13],"a":[14,38],"closed-form":[15],"expression":[16],"this":[18,50],"for":[20,41,55,64,85],"1=f":[21,33],"\u03b1":[22,34,56,65],"signals.":[23],"Wavelet":[24],"characterizes":[28],"complexities":[30],"associated":[31],"to":[32],"signals":[35,100],"provides":[37],"powerful":[39],"tool":[40],"their":[42],"analysis.":[43],"Theoretical":[44],"experimental":[46],"studies":[47],"demonstrate":[48],"that":[49],"quantity":[51],"is":[52],"exponentially":[53],"increasing":[54],"&gt;":[57],"1":[58,67],"(non-stationary":[59],"signals)":[60],"almost":[62],"constant":[63],"&lt;":[66],"(stationary":[68],"signals).":[69],"Potential":[70],"applications":[71],"wavelet":[73],"FIM":[74],"are":[75],"discussed":[76],"in":[77,91,95],"some":[78],"detail":[79],"its":[81],"power":[82],"robustness":[84],"detection":[87],"structural":[89],"breaks":[90],"mean":[93],"embedded":[94],"stationary":[96],"fractional":[97],"Gaussian":[98],"noise":[99],"studied.":[101]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
