{"id":"https://openalex.org/W2150787266","doi":"https://doi.org/10.1109/isit.2004.1365194","title":"Upper bound analysis of diversity for unitary space time constellations","display_name":"Upper bound analysis of diversity for unitary space time constellations","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2150787266","doi":"https://doi.org/10.1109/isit.2004.1365194","mag":"2150787266"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365194","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","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/A5000081781","display_name":"Guangyue Han","orcid":"https://orcid.org/0000-0001-9895-5646"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guangyue Han","raw_affiliation_strings":["Department of Mathematics, University of Notre Dame, Notre Dame, IN, USA","Dept. of Math., Notre Dame Univ., IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Dept. of Math., Notre Dame Univ., IN, USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021424383","display_name":"Joachim Rosenthal","orcid":"https://orcid.org/0000-0003-4545-3559"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Rosenthal","raw_affiliation_strings":["Department of Mathematics, University of Notre Dame, Notre Dame, IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000081781"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":null,"apc_paid":null,"fwci":0.3388,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66557738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"157","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.8171765804290771},{"id":"https://openalex.org/keywords/constellation","display_name":"Constellation","score":0.7879294157028198},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6492511630058289},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.5776454210281372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5636411309242249},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5397772192955017},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4170437753200531},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37707775831222534},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32983827590942383},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1480279266834259},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12559616565704346},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1075531542301178},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.05771726369857788}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.8171765804290771},{"id":"https://openalex.org/C70352696","wikidata":"https://www.wikidata.org/wiki/Q8928","display_name":"Constellation","level":2,"score":0.7879294157028198},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6492511630058289},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.5776454210281372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5636411309242249},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5397772192955017},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4170437753200531},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37707775831222534},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32983827590942383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1480279266834259},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12559616565704346},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1075531542301178},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.05771726369857788},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2004.1365194","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},{"id":"pmh:oai:hub.hku.hk:10722/158867","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/158867","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference_Paper"},{"id":"pmh:oai:www.zora.uzh.ch:21800","is_oa":false,"landing_page_url":"https://www.zora.uzh.ch/21800","pdf_url":null,"source":{"id":"https://openalex.org/S4306401281","display_name":"Zurich Open Repository and Archive (University of Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I202697423","host_organization_name":"University of Zurich","host_organization_lineage":["https://openalex.org/I202697423"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Han, G; Rosenthal, J  (2004). Upper bound analysis of diversity for unitary space time constellations.  In: 2004 IEEE IInternational Symposium on Information Theory. Proceedings. Chicago: IEEE, 157.","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2107080958","https://openalex.org/W2109062787","https://openalex.org/W2119239426","https://openalex.org/W2119582213","https://openalex.org/W2135665698","https://openalex.org/W2156336894","https://openalex.org/W2170705819","https://openalex.org/W2950105251","https://openalex.org/W4245939884","https://openalex.org/W6677839669","https://openalex.org/W6854844357"],"related_works":["https://openalex.org/W2801080295","https://openalex.org/W2502457263","https://openalex.org/W2901245944","https://openalex.org/W4322709807","https://openalex.org/W4377967113","https://openalex.org/W1548310101","https://openalex.org/W3186841189","https://openalex.org/W2078292672","https://openalex.org/W2382519356","https://openalex.org/W4383988291"],"abstract_inverted_index":{"Diversity":[0],"product":[1,52],"and":[2,53],"diversity":[3,24,51,55],"sum":[4],"are":[5],"two":[6],"important":[7],"parameters":[8],"for":[9,49],"unitary":[10],"space":[11],"time":[12],"constellation":[13],"design.":[14],"An":[15],"interesting":[16],"observation":[17],"in":[18],"this":[19],"paper":[20],"is":[21],"that":[22],"full":[23],"can":[25],"be":[26],"easily":[27],"achieved":[28],"by":[29],"Haar":[30],"distributed":[31],"random":[32],"constellations.":[33],"Using":[34],"the":[35,39,50,54],"packing":[36],"techniques":[37],"on":[38],"compact":[40],"Lie":[41],"group":[42],"U(n),":[43],"we":[44],"derive":[45],"an":[46],"upper":[47],"bound":[48],"sum.":[56]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
