{"id":"https://openalex.org/W2116241024","doi":"https://doi.org/10.1109/tit.1969.1054271","title":"The asymptotic error probability for transmission of orthogonal signals over the generalized incoherent channel","display_name":"The asymptotic error probability for transmission of orthogonal signals over the generalized incoherent channel","publication_year":1969,"publication_date":"1969-01-01","ids":{"openalex":"https://openalex.org/W2116241024","doi":"https://doi.org/10.1109/tit.1969.1054271","mag":"2116241024"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1969.1054271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1969.1054271","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5111429307","display_name":"L. I. Schiff","orcid":null},"institutions":[{"id":"https://openalex.org/I2800295664","display_name":"RCA (United States)","ror":"https://ror.org/010k8n340","country_code":"US","type":"company","lineage":["https://openalex.org/I2800295664"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Schiff","raw_affiliation_strings":["Department of Electrical Engineering, Polytechnic Institute of Brooklyn, Brooklyn, NY, USA","RCA Laboratories Limited, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Polytechnic Institute of Brooklyn, Brooklyn, NY, USA","institution_ids":[]},{"raw_affiliation_string":"RCA Laboratories Limited, Princeton, NJ, USA","institution_ids":["https://openalex.org/I2800295664"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111429307"],"corresponding_institution_ids":["https://openalex.org/I2800295664"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.25553521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"48","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9919000267982483,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9919000267982483,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9635999798774719,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9591000080108643,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/channel","display_name":"Channel (broadcasting)","score":0.6788902282714844},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4633368253707886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4098019599914551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37763839960098267},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3502822518348694},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3295615613460541},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1364613175392151}],"concepts":[{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6788902282714844},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4633368253707886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4098019599914551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37763839960098267},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3502822518348694},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3295615613460541},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1364613175392151}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1969.1054271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1969.1054271","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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":8,"referenced_works":["https://openalex.org/W2029351662","https://openalex.org/W2041929039","https://openalex.org/W2135479785","https://openalex.org/W2160062081","https://openalex.org/W2165328560","https://openalex.org/W2264297261","https://openalex.org/W3092419153","https://openalex.org/W4252713891"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"The":[0],"probability":[1,45],"of":[2,7,9,29,62,88,98,102],"error":[3,44],"for":[4,46,85],"the":[5,19,43,47,58,79],"transmission":[6],"one":[8],"<tex":[10,30,64,69,89],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11,31,65,70,90],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</tex>":[12],"-orthogonal,":[13],"equally":[14],"likely,":[15],"equal-energy":[16],"signals":[17],"over":[18,52],"white":[20],"Gaussian":[21],"noise":[22],"channel":[23,61,75],"is":[24,34,39,76],"known.":[25],"For":[26,68],"large":[27],"values":[28,87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</tex>":[32],"it":[33],"shown":[35],"that":[36],"this":[37,74],"result":[38],"asymptotically":[40],"equivalent":[41],"to":[42,78],"same":[48],"signal":[49],"set":[50],"transmitted":[51],"a":[53,96],"different":[54],"channel,":[55],"termed":[56],"here":[57],"generalized":[59],"incoherent":[60,81],"order":[63],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">v</tex>":[66,91],".":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">v":[71],"=":[72],"2</tex>":[73],"identical":[77],"phase":[80],"channel.":[82],"This":[83],"problem,":[84],"larger":[86],",":[92],"also":[93],"arises":[94],"in":[95],"number":[97],"other":[99],"applications,":[100],"some":[101],"which":[103],"are":[104],"given.":[105]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
