{"id":"https://openalex.org/W2948354211","doi":"https://doi.org/10.1109/lsp.2019.2921228","title":"Perfect Gaussian Integer Sequences Embedding Pre-Given Gaussian Integers","display_name":"Perfect Gaussian Integer Sequences Embedding Pre-Given Gaussian Integers","publication_year":2019,"publication_date":"2019-06-05","ids":{"openalex":"https://openalex.org/W2948354211","doi":"https://doi.org/10.1109/lsp.2019.2921228","mag":"2948354211"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2019.2921228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2019.2921228","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5088104427","display_name":"Fanxin Zeng","orcid":"https://orcid.org/0000-0002-7320-400X"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanxin Zeng","raw_affiliation_strings":["Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-7320-400X","affiliations":[{"raw_affiliation_string":"Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021475783","display_name":"Xiping He","orcid":"https://orcid.org/0000-0003-3922-3319"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiping He","raw_affiliation_strings":["Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-3922-3319","affiliations":[{"raw_affiliation_string":"Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091859458","display_name":"Guixin Xuan","orcid":"https://orcid.org/0000-0001-5019-5107"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guixin Xuan","raw_affiliation_strings":["Communication NCO Academy, Army Engineering University of PLA, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication NCO Academy, Army Engineering University of PLA, Chongqing, China","institution_ids":["https://openalex.org/I4210163363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100389510","display_name":"Zhenyu Zhang","orcid":"https://orcid.org/0000-0001-8985-7083"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenyu Zhang","raw_affiliation_strings":["Communication NCO Academy, Army Engineering University of PLA, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-8985-7083","affiliations":[{"raw_affiliation_string":"Communication NCO Academy, Army Engineering University of PLA, Chongqing, China","institution_ids":["https://openalex.org/I4210163363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026503059","display_name":"Yanni Peng","orcid":"https://orcid.org/0000-0002-5850-8996"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanni Peng","raw_affiliation_strings":["Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115076755","display_name":"Yan Li","orcid":"https://orcid.org/0000-0002-7048-3314"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Yan","raw_affiliation_strings":["Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Engineering Laboratory for Detection, Chongqing Technology and Business University, Chongqing, China","institution_ids":["https://openalex.org/I145581781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2335,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52822734,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"26","issue":"8","first_page":"1122","last_page":"1126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9889000058174133,"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/sequence","display_name":"Sequence (biology)","score":0.7402089834213257},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7358965277671814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6786469221115112},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6455300450325012},{"id":"https://openalex.org/keywords/gaussian-integer","display_name":"Gaussian integer","score":0.6378326416015625},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5792165398597717},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5555112957954407},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5480246543884277},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5301291346549988},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.389590322971344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2083427906036377},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0668344497680664},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061414241790771484}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7402089834213257},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7358965277671814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6786469221115112},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6455300450325012},{"id":"https://openalex.org/C120561534","wikidata":"https://www.wikidata.org/wiki/Q724975","display_name":"Gaussian integer","level":2,"score":0.6378326416015625},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5792165398597717},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5555112957954407},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5480246543884277},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5301291346549988},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.389590322971344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2083427906036377},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0668344497680664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061414241790771484},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2019.2921228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2019.2921228","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G3446375449","display_name":"\u591a\u8f7d\u6ce2\u7801\u5206\u591a\u5740\u901a\u4fe1\u7cfb\u7edf\u4e2d\u6291\u5236\u5e72\u6270\u7684\u5e8f\u5217\u8bbe\u8ba1\u7814\u7a76","funder_award_id":"61002034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3693841377","display_name":"\u9ad8\u901f\u7387\u4f20\u8f93\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7684\u591a\u7528\u6237\u5730\u5740\u7801\u8bbe\u8ba1\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61271003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3906283228","display_name":"\u9002\u7528\u4e8e\u4e0b\u4e00\u4ee3\u79fb\u52a8\u901a\u4fe1\u7684\u5e8f\u5217\u8bbe\u8ba1\u65b9\u6cd5\u7814\u7a76","funder_award_id":"60872164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5901286758","display_name":null,"funder_award_id":"6147366","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1534375642","https://openalex.org/W1806232464","https://openalex.org/W1829788117","https://openalex.org/W1977449481","https://openalex.org/W1994576370","https://openalex.org/W2000329328","https://openalex.org/W2017922205","https://openalex.org/W2033699179","https://openalex.org/W2044842474","https://openalex.org/W2106841106","https://openalex.org/W2114788954","https://openalex.org/W2243404481","https://openalex.org/W2333186632","https://openalex.org/W2486953454","https://openalex.org/W2489047566","https://openalex.org/W2516138189","https://openalex.org/W2558254533","https://openalex.org/W2587269950","https://openalex.org/W2590916532","https://openalex.org/W2597177126","https://openalex.org/W2626357105","https://openalex.org/W2780855037","https://openalex.org/W2782063330","https://openalex.org/W2802998832","https://openalex.org/W2898326019","https://openalex.org/W4243205024","https://openalex.org/W4256064324","https://openalex.org/W6733250381"],"related_works":["https://openalex.org/W3096644734","https://openalex.org/W3118297191","https://openalex.org/W4280608413","https://openalex.org/W2369409824","https://openalex.org/W2971248009","https://openalex.org/W2414755644","https://openalex.org/W4288251380","https://openalex.org/W2964093280","https://openalex.org/W2077158246","https://openalex.org/W2963637926"],"abstract_inverted_index":{"A":[0],"pre-given":[1,21,41,55,73,93],"Gaussian":[2],"integer":[3,66],"(GI)":[4],"is":[5,9,14,23],"a":[6,12,17,20,24,82,103],"GI":[7,22,29,50,56,74,94],"that":[8,26,47,90],"determined":[10],"before":[11],"sequence":[13,18,25,118],"designed,":[15],"and":[16,71,87,108,120],"embedding":[19,53],"contains":[27],"the":[28,54,92,115],"as":[30],"part":[31],"of":[32,77,84,106,117],"its":[33],"components.":[34],"In":[35],"this":[36],"letter,":[37],"for":[38,62,110],"an":[39,63],"arbitrary":[40,64,72],"GI,":[42],"we":[43],"present":[44],"two":[45],"constructions":[46,79,101],"produce":[48],"perfect":[49],"sequences":[51],"(PGISs)":[52],"with":[57],"different":[58],"embedment":[59],"frequencies.":[60],"Typically,":[61],"even":[65],"N":[67,86,96],"(N":[68],"\u2265":[69],"4)":[70],"c,":[75],"one":[76],"our":[78],"can":[80],"yield":[81],"PGIS":[83,111],"period":[85],"degree":[88,105],"3":[89],"embeds":[91],"c":[95],"-":[97],"2":[98],"times.":[99],"Our":[100],"provide":[102],"high":[104],"freedom":[107],"flexibility":[109],"designs":[112,119],"to":[113],"satisfy":[114],"requirements":[116],"applications.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}