{"id":"https://openalex.org/W2079417860","doi":"https://doi.org/10.1109/iswcs.2011.6125309","title":"Hierarchical generalized Cantor set modulation","display_name":"Hierarchical generalized Cantor set modulation","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2079417860","doi":"https://doi.org/10.1109/iswcs.2011.6125309","mag":"2079417860"},"language":"en","primary_location":{"id":"doi:10.1109/iswcs.2011.6125309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2011.6125309","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 8th International Symposium on Wireless Communication Systems","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/A5089754711","display_name":"Simon G\u00f6rtzen","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Simon Gortzen","raw_affiliation_strings":["Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, Aachen, Germany","Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062457536","display_name":"Lars Schiefler","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Schiefler","raw_affiliation_strings":["Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, Aachen, Germany","Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072895220","display_name":"Anke Schmeink","orcid":"https://orcid.org/0000-0002-9929-2925"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anke Schmeink","raw_affiliation_strings":["Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, Aachen, Germany","Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Information Theory and Systematic Design of Communication Systems, UMIC Research Centre, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089754711"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12568521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"56","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","score":0.9994999766349792,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9918000102043152,"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/T12131","display_name":"Wireless Signal Modulation Classification","score":0.9897000193595886,"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/cantor-set","display_name":"Cantor set","score":0.7031548619270325},{"id":"https://openalex.org/keywords/cantor-function","display_name":"Cantor function","score":0.6942012310028076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.622529923915863},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5959271192550659},{"id":"https://openalex.org/keywords/cantors-diagonal-argument","display_name":"Cantor's diagonal argument","score":0.575539767742157},{"id":"https://openalex.org/keywords/quadrature-amplitude-modulation","display_name":"Quadrature amplitude modulation","score":0.4971018135547638},{"id":"https://openalex.org/keywords/qam","display_name":"QAM","score":0.48917749524116516},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.47629085183143616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38756290078163147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3193402588367462},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09971863031387329}],"concepts":[{"id":"https://openalex.org/C36605576","wikidata":"https://www.wikidata.org/wiki/Q273188","display_name":"Cantor set","level":2,"score":0.7031548619270325},{"id":"https://openalex.org/C149701218","wikidata":"https://www.wikidata.org/wiki/Q938883","display_name":"Cantor function","level":3,"score":0.6942012310028076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.622529923915863},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5959271192550659},{"id":"https://openalex.org/C70654966","wikidata":"https://www.wikidata.org/wiki/Q729471","display_name":"Cantor's diagonal argument","level":3,"score":0.575539767742157},{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.4971018135547638},{"id":"https://openalex.org/C59030546","wikidata":"https://www.wikidata.org/wiki/Q7265371","display_name":"QAM","level":5,"score":0.48917749524116516},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.47629085183143616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38756290078163147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3193402588367462},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09971863031387329},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iswcs.2011.6125309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2011.6125309","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 8th International Symposium on Wireless Communication Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:publications.rwth-aachen.de:127960","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/127960","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"8th International Symposium on Wireless Communication Systems 2011 : ISWCS 2011 ; Aachen, Germany, 6th - 9th November, 2011 / General Chair: Rudolf Mathar, Fac. of Electrical Engineering and Information Technology, RWTH Aachen Univ.<br/>8. International Symposium on Wireless Communication Systems 2011, ISWCS 2011, Aachen, Germany, 2011-11-06 - 2011-11-09","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W595252221","https://openalex.org/W2060156873","https://openalex.org/W2072459054","https://openalex.org/W2101021282","https://openalex.org/W2104488907","https://openalex.org/W2110765617","https://openalex.org/W2116627879","https://openalex.org/W2119759613","https://openalex.org/W2120791771","https://openalex.org/W2132944622","https://openalex.org/W2157968118","https://openalex.org/W2296441616","https://openalex.org/W2610335499","https://openalex.org/W3099468523","https://openalex.org/W4247864783","https://openalex.org/W6843690465"],"related_works":["https://openalex.org/W2184380368","https://openalex.org/W1969756216","https://openalex.org/W2887688257","https://openalex.org/W2338591899","https://openalex.org/W1494303874","https://openalex.org/W228299209","https://openalex.org/W2353637260","https://openalex.org/W2336184504","https://openalex.org/W3027790046","https://openalex.org/W2891395702"],"abstract_inverted_index":{"In":[0],"this":[1,114],"paper,":[2],"we":[3,82],"show":[4],"that":[5],"arbitrary":[6],"hierarchical":[7,64,106,127],"pulse":[8],"amplitude":[9,108],"modulation":[10,55,65,109,128],"(PAM)":[11],"schemes":[12,66],"can":[13,99],"be":[14,100],"fully":[15],"described":[16],"by":[17],"generalized":[18,45],"Cantor":[19,22,29,46,59],"sets.":[20],"Generalized":[21],"sets":[23,47],"are":[24],"modified":[25],"versions":[26],"of":[27,44,62,77,125],"the":[28,68,74,78,87,121],"ternary":[30],"set,":[31],"a":[32,50,54,117],"famous":[33],"mathematical":[34],"construct":[35],"known":[36],"for":[37,49,86,94],"its":[38],"set-theoretical":[39],"properties.":[40],"The":[41,57],"fractal":[42],"nature":[43],"allow":[48],"natural":[51],"reinterpretation":[52],"as":[53,71,73,91,93],"scheme.":[56],"resulting":[58],"set":[60],"description":[61],"one-dimensional":[63],"covers":[67],"constellation":[69],"points":[70,76],"well":[72,92],"boundary":[75],"decision":[79],"regions.":[80],"Furthermore,":[81],"derive":[83],"simple":[84],"formulas":[85],"average":[88],"signal":[89],"power":[90],"iterative":[95],"demodulation.":[96],"All":[97],"results":[98],"extended":[101],"to":[102],"two":[103],"dimensions":[104],"and":[105,123],"quadrature":[107],"(QAM)":[110],"schemes.":[111,129],"As":[112],"such,":[113],"paper":[115],"offers":[116],"novel":[118],"perspective":[119],"on":[120],"classification":[122],"parametrization":[124],"practical":[126]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}