{"id":"https://openalex.org/W2752711999","doi":"https://doi.org/10.1109/tcomm.2017.2748595","title":"Non-Linear Programming: Maximize SINR for Designing Spreading Sequence","display_name":"Non-Linear Programming: Maximize SINR for Designing Spreading Sequence","publication_year":2017,"publication_date":"2017-09-04","ids":{"openalex":"https://openalex.org/W2752711999","doi":"https://doi.org/10.1109/tcomm.2017.2748595","mag":"2752711999"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2017.2748595","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2017.2748595","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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/A5052981892","display_name":"Hirofumi Tsuda","orcid":"https://orcid.org/0000-0002-3527-9211"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hirofumi Tsuda","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Kyoto University, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001619132","display_name":"Ken Umeno","orcid":"https://orcid.org/0000-0002-9162-1261"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ken Umeno","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Kyoto University, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052981892"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":1.6576,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86430356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"66","issue":"1","first_page":"278","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10575","display_name":"Wireless Communication Networks Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.6764243245124817},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6078613996505737},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.542104184627533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5199090838432312},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.515956699848175},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4334675669670105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42678046226501465},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4232105612754822},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.41535940766334534},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.4114946722984314},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.40556690096855164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3991086184978485},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37101244926452637},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3442612886428833},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3295166492462158},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1398274302482605},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13683462142944336},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10497167706489563}],"concepts":[{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.6764243245124817},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6078613996505737},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.542104184627533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5199090838432312},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.515956699848175},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4334675669670105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42678046226501465},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4232105612754822},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.41535940766334534},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.4114946722984314},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.40556690096855164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3991086184978485},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37101244926452637},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3442612886428833},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3295166492462158},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1398274302482605},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13683462142944336},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10497167706489563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2017.2748595","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2017.2748595","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W24195377","https://openalex.org/W1487876791","https://openalex.org/W1504535869","https://openalex.org/W1542496577","https://openalex.org/W1968971721","https://openalex.org/W1972204922","https://openalex.org/W1984386576","https://openalex.org/W1991282172","https://openalex.org/W1996215314","https://openalex.org/W1996984927","https://openalex.org/W1998724873","https://openalex.org/W2006296282","https://openalex.org/W2008632765","https://openalex.org/W2019519832","https://openalex.org/W2024448650","https://openalex.org/W2036201099","https://openalex.org/W2042814617","https://openalex.org/W2061090545","https://openalex.org/W2062342873","https://openalex.org/W2067096554","https://openalex.org/W2096509667","https://openalex.org/W2099503269","https://openalex.org/W2103154484","https://openalex.org/W2109672127","https://openalex.org/W2112017702","https://openalex.org/W2116211855","https://openalex.org/W2119877985","https://openalex.org/W2122758559","https://openalex.org/W2130509920","https://openalex.org/W2130917709","https://openalex.org/W2134233838","https://openalex.org/W2136425633","https://openalex.org/W2136789592","https://openalex.org/W2138548210","https://openalex.org/W2138706041","https://openalex.org/W2144152858","https://openalex.org/W2145080587","https://openalex.org/W2156674109","https://openalex.org/W2164509250","https://openalex.org/W2244359298","https://openalex.org/W2285911715","https://openalex.org/W2344446931","https://openalex.org/W2538207836","https://openalex.org/W2543895508","https://openalex.org/W2912522929","https://openalex.org/W2963323955","https://openalex.org/W4250589301","https://openalex.org/W4253609148","https://openalex.org/W6695844914"],"related_works":["https://openalex.org/W4312206320","https://openalex.org/W2160052563","https://openalex.org/W1544933314","https://openalex.org/W2115832833","https://openalex.org/W2803118069","https://openalex.org/W2126408684","https://openalex.org/W4390640000","https://openalex.org/W2617248812","https://openalex.org/W3153752017","https://openalex.org/W2738062192"],"abstract_inverted_index":{"Signal":[0],"to":[1,19],"interference":[2],"plus":[3],"noise":[4],"ratio":[5],"(SINR)":[6],"is":[7,104],"an":[8,64],"important":[9],"index":[10],"for":[11,132],"wireless":[12],"communications.":[13],"This":[14],"paper":[15],"shows":[16],"a":[17,44,84,113],"method":[18],"derive":[20,63],"spreading":[21],"sequences":[22],"utilized":[23],"in":[24],"code":[25],"division":[26],"multiple":[27],"access":[28],"systems":[29],"as":[30],"the":[31,34,51,57,60,97,109,123,128,133],"solutions":[32,125],"of":[33,54,59,66,72],"non-linear":[35],"programming:":[36],"maximize":[37,99],"SINR.":[38,55,100],"To":[39],"this":[40,102,118],"end,":[41],"we":[42,62,82,95,107,121],"consider":[43],"frequency-selective":[45],"wide-sense-stationary":[46],"uncorrelated-scattering":[47],"channel":[48],"and":[49,76,88,126],"obtain":[50,96,108,122],"worst":[52],"case":[53],"In":[56],"course":[58],"evaluation,":[61],"expression":[65],"SINR,":[67],"whose":[68],"main":[69],"terms":[70,75],"consist":[71],"periodic":[73,78],"correlation":[74,79],"odd":[77],"terms.":[80],"Also,":[81],"show":[83],"relation":[85],"between":[86],"SINR":[87],"mean":[89],"square":[90],"correlations.":[91],"With":[92],"our":[93],"expression,":[94],"problem:":[98],"Since":[101],"problem":[103,111],"not":[105],"convex,":[106],"relaxed":[110,119],"with":[112],"semidefinite":[114],"relaxation":[115],"technique.":[116],"From":[117],"problem,":[120],"approximated":[124],"evaluate":[127],"bit":[129],"error":[130],"rate":[131],"solutions.":[134]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}