{"id":"https://openalex.org/W2982841898","doi":"https://doi.org/10.1109/tcsii.2019.2953158","title":"A Symbolic Dynamics Approach to Trellis-Coded Chaotic Modulation","display_name":"A Symbolic Dynamics Approach to Trellis-Coded Chaotic Modulation","publication_year":2019,"publication_date":"2019-11-12","ids":{"openalex":"https://openalex.org/W2982841898","doi":"https://doi.org/10.1109/tcsii.2019.2953158","mag":"2982841898"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2953158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2953158","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/A5029683443","display_name":"Carlos E. C. Souza","orcid":"https://orcid.org/0000-0001-6006-0900"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Carlos E. C. Souza","raw_affiliation_strings":["Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044717316","display_name":"Cec\u00edlio Pimentel","orcid":"https://orcid.org/0000-0003-2632-919X"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cecilio Pimentel","raw_affiliation_strings":["Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081177321","display_name":"Daniel P. B. Chaves","orcid":"https://orcid.org/0000-0003-4345-4320"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Daniel P. B. Chaves","raw_affiliation_strings":["Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029683443"],"corresponding_institution_ids":["https://openalex.org/I25112270"],"apc_list":null,"apc_paid":null,"fwci":0.5988,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71936935,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"10","first_page":"2189","last_page":"2193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9979000091552734,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.8595950603485107},{"id":"https://openalex.org/keywords/symbolic-dynamics","display_name":"Symbolic dynamics","score":0.7116845846176147},{"id":"https://openalex.org/keywords/trellis-modulation","display_name":"Trellis modulation","score":0.6202020645141602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5038897395133972},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4976852238178253},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.48303207755088806},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.48128169775009155},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47870707511901855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4630698263645172},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.46073031425476074},{"id":"https://openalex.org/keywords/trellis","display_name":"Trellis (graph)","score":0.4391530156135559},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3650805950164795},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35598039627075195},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.30295106768608093},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12746378779411316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12069201469421387},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12031185626983643},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11241599917411804},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07391104102134705},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06539526581764221}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8595950603485107},{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.7116845846176147},{"id":"https://openalex.org/C197712280","wikidata":"https://www.wikidata.org/wiki/Q557200","display_name":"Trellis modulation","level":4,"score":0.6202020645141602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5038897395133972},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4976852238178253},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.48303207755088806},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.48128169775009155},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47870707511901855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4630698263645172},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.46073031425476074},{"id":"https://openalex.org/C2781235587","wikidata":"https://www.wikidata.org/wiki/Q7838009","display_name":"Trellis (graph)","level":3,"score":0.4391530156135559},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3650805950164795},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35598039627075195},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.30295106768608093},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12746378779411316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12069201469421387},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12031185626983643},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11241599917411804},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07391104102134705},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06539526581764221},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2953158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2953158","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":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323678","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Ci\u00eancia e Tecnologia do Estado de Pernambuco","ror":"https://ror.org/02te5rf52"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1481257794","https://openalex.org/W1522045078","https://openalex.org/W1565611252","https://openalex.org/W1994859578","https://openalex.org/W2010598801","https://openalex.org/W2033682634","https://openalex.org/W2052987310","https://openalex.org/W2062636205","https://openalex.org/W2093976753","https://openalex.org/W2121074861","https://openalex.org/W2133229768","https://openalex.org/W2146858647","https://openalex.org/W2165205968","https://openalex.org/W2344446931","https://openalex.org/W2398714011","https://openalex.org/W2555681488","https://openalex.org/W2619972866","https://openalex.org/W2793931757","https://openalex.org/W2901364422","https://openalex.org/W2909109048","https://openalex.org/W2915847935","https://openalex.org/W4206252072"],"related_works":["https://openalex.org/W2152410978","https://openalex.org/W1578638483","https://openalex.org/W2054582988","https://openalex.org/W2757495821","https://openalex.org/W2233004746","https://openalex.org/W1781896427","https://openalex.org/W2164710988","https://openalex.org/W2160771105","https://openalex.org/W2107129730","https://openalex.org/W1934708831"],"abstract_inverted_index":{"We":[0,74],"propose":[1],"a":[2,23,27,36,81],"trellis-coded":[3,84],"chaotic":[4,14,18,44,53,72,85],"modulation":[5,86],"scheme":[6],"employing":[7],"the":[8,39,43,48,52,69,77],"symbolic":[9],"dynamics":[10,32],"generated":[11],"by":[12,35,51],"three-dimensional":[13],"flows.":[15],"The":[16,30],"continuous":[17],"trajectories":[19,45],"are":[20],"discretized":[21],"using":[22,68],"labeled":[24],"partition":[25],"of":[26,42],"Poincar\u00e9":[28],"section.":[29],"discrete":[31,71],"is":[33,57],"modeled":[34],"graph":[37,56],"representing":[38],"evolution":[40],"mechanism":[41],"according":[46],"to":[47,59,63],"restrictions":[49],"imposed":[50],"flow.":[54],"This":[55],"employed":[58],"design":[60],"finite-state":[61],"encoders":[62],"transmit":[64],"binary":[65],"information":[66],"sequences":[67],"restricted":[70],"dynamics.":[73],"show":[75],"that":[76],"proposed":[78,83],"system":[79],"outperforms":[80],"recently":[82],"scheme.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
