{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,11]],"date-time":"2023-02-11T10:10:52Z","timestamp":1676110252016},"reference-count":31,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1966,4,1]],"date-time":"1966-04-01T00:00:00Z","timestamp":-118454400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2014,5,15]],"date-time":"2014-05-15T00:00:00Z","timestamp":1400112000000},"content-version":"vor","delay-in-days":17576,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information and Control"],"published-print":{"date-parts":[[1966,4]]},"DOI":"10.1016\/s0019-9958(66)90202-6","type":"journal-article","created":{"date-parts":[[2004,12,15]],"date-time":"2004-12-15T09:12:12Z","timestamp":1103101932000},"page":"130-152","source":"Crossref","is-referenced-by-count":17,"title":["Some results on singular detection"],"prefix":"10.1016","volume":"9","author":[{"given":"Thomas","family":"Kailath","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0019-9958(66)90202-6_bib1","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1090\/S0002-9947-1950-0051437-7","article-title":"Theory of reproducing kernels","volume":"63","author":"Aronszajn","year":"1950","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/S0019-9958(66)90202-6_bib2","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1016\/0022-247X(60)90012-3","article-title":"Estimation and detection for multiple stochastic processes","volume":"1","author":"Balakrishnan","year":"1960","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0019-9958(66)90202-6_bib3","doi-asserted-by":"crossref","first-page":"402","DOI":"10.1137\/1104040","article-title":"Analytic random processes","volume":"4","author":"Belyaev","year":"1959","journal-title":"Theory Prob. Appl."},{"key":"10.1016\/S0019-9958(66)90202-6_bib4","series-title":"An Introduction to the Theory of Random Signals and Noise","author":"Davenport","year":"1958"},{"key":"10.1016\/S0019-9958(66)90202-6_bib5","article-title":"The Design of Point Detector Arrays","author":"Gaarder","year":"1965"},{"key":"10.1016\/S0019-9958(66)90202-6_bib6","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/S0019-9958(60)90718-X","article-title":"Effective sampling rates for Gaussian detection, or can the Gaussian model be salvaged","volume":"3","author":"Good","year":"1960","journal-title":"Inform. Control"},{"key":"10.1016\/S0019-9958(66)90202-6_bib7_1","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0019-9958(58)90092-5","article-title":"A paradox concerning rate of information","volume":"1","author":"Good","year":"1958","journal-title":"Inform. Control"},{"key":"10.1016\/S0019-9958(66)90202-6_bib7_2","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/S0019-9958(59)90383-3","article-title":"A paradox concerning rate of information","volume":"vol. 2","author":"Good","year":"1959","journal-title":"Inform. Control"},{"key":"10.1016\/S0019-9958(66)90202-6_bib8","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/BF02590638","article-title":"Stochastic processes and statistical inference","volume":"1","author":"Grenander","year":"1950","journal-title":"Ark. Mat."},{"key":"10.1016\/S0019-9958(66)90202-6_bib9","doi-asserted-by":"crossref","first-page":"404","DOI":"10.21136\/CMJ.1962.100528","article-title":"On linear statistical problems in stochastic processes","volume":"12","author":"Hajek","year":"1962","journal-title":"Czech. Math. J."},{"key":"10.1016\/S0019-9958(66)90202-6_bib10","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1214\/aoms\/1177730391","article-title":"An explicit representation of a stationary Gaussian process","volume":"18","author":"Kac","year":"1947","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0019-9958(66)90202-6_bib11","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1137\/0108020","article-title":"The detection of radar echoes in noise, Pt. I","volume":"8","author":"Kelly","year":"1960","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"10.1016\/S0019-9958(66)90202-6_bib12","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1002\/j.1538-7305.1961.tb01623.x","article-title":"Further results on the detectability of known signals in colored Gaussian noise","volume":"40","author":"Martel","year":"1961","journal-title":"Bell System Tech. J."},{"key":"10.1016\/S0019-9958(66)90202-6_bib13","series-title":"Hilbertsche Raume mit Kernfunktion","author":"Meschkowski","year":"1961"},{"key":"10.1016\/S0019-9958(66)90202-6_bib14","series-title":"Introduction to Statistical Communication Theory","author":"Middleton","year":"1960"},{"key":"10.1016\/S0019-9958(66)90202-6_bib15_1","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1109\/TIT.1961.1057621","article-title":"On singular and nonsingular optimum (Bayes) tests for the detection of normal stochastic signals in normal noise","volume":"IT-7","author":"Middleton","year":"1961","journal-title":"IRE Trans. Inform. Theory"},{"key":"10.1016\/S0019-9958(66)90202-6_bib15_2","first-page":"326","article-title":"On singular and nonsingular optimum (Bayes) tests for the detection of normal stochastic signals in normal noise","volume":"IT-8","author":"Middleton","year":"1962","journal-title":"IRE Trans. Inform. Theory"},{"key":"10.1016\/S0019-9958(66)90202-6_bib15_3","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1109\/TIT.1962.1057792","article-title":"On singular and nonsingular optimum (Bayes) tests for the detection of normal stochastic signals in normal noise","volume":"IT-8","author":"Middleton","year":"1962","journal-title":"IRE Trans. Inform. Theory"},{"key":"10.1016\/S0019-9958(66)90202-6_bib16","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1137\/1109006","article-title":"Extension of stationary stochastic processes","volume":"9","author":"Parthasarathy","year":"1964","journal-title":"Theory Prob. Appl."},{"key":"10.1016\/S0019-9958(66)90202-6_bib17","article-title":"Statistical Inference on Time-Series by Hilbert Space Methods","author":"Parzen","year":"1959"},{"key":"10.1016\/S0019-9958(66)90202-6_bib18","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1214\/aoms\/1177704840","article-title":"An approach to time-series analysis","volume":"32","author":"Parzen","year":"1961","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0019-9958(66)90202-6_bib19_1","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1002\/j.1538-7305.1961.tb03976.x","article-title":"Prolate spheroidal functions\u2014I, II","volume":"40","author":"Pollak","year":"1961","journal-title":"Bell System Tech. J."},{"key":"10.1016\/S0019-9958(66)90202-6_bib19_2","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1002\/j.1538-7305.1961.tb03977.x","article-title":"Prolate spheroidal functions\u2014I, II","volume":"40","author":"Pollak","year":"1961","journal-title":"Bell System Tech. J."},{"key":"10.1016\/S0019-9958(66)90202-6_bib20","first-page":"125","article-title":"Optimum detection of random signals in noise, with application to scatter-multipath communication\u2014I","volume":"IT-2","author":"Price","year":"1956","journal-title":"Trans. IRE-PGIT"},{"key":"10.1016\/S0019-9958(66)90202-6_bib21","series-title":"Theory of Random Functions and Its Applications in Automatic Control","author":"Pugachev","year":"1960"},{"key":"10.1016\/S0019-9958(66)90202-6_bib22","series-title":"Functional Analysis","author":"Riesz","year":"1965"},{"key":"10.1016\/S0019-9958(66)90202-6_bib23","series-title":"Proc. Symp. Time-Series Analysis","article-title":"Singular Gaussian measures in detection theory","author":"Root","year":"1964"},{"key":"10.1016\/S0019-9958(66)90202-6_bib24","article-title":"The Sequential Estimation and Detection of Signals in Normal Noise","author":"Selin","year":"1962"},{"key":"10.1016\/S0019-9958(66)90202-6_bib25","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1109\/TIT.1958.1057443","article-title":"Some results on the detection of Gaussian signals in noise","volume":"IT-4","author":"Slepian","year":"1958","journal-title":"IRE Trans. Inform. Theory"},{"key":"10.1016\/S0019-9958(66)90202-6_bib26","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/S0019-9958(60)90933-5","article-title":"Paradoxes related to the rate of transmission of information","volume":"3","author":"Swerling","year":"1960","journal-title":"Inform. Control"},{"key":"10.1016\/S0019-9958(66)90202-6_bib27","series-title":"Proc. Symp. Time-Series Analysis","article-title":"On the equivalence of perpendicularity of two Gaussian probability measures in function space","author":"Yaglom","year":"1963"}],"container-title":["Information and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0019995866902026?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0019995866902026?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,7,1]],"date-time":"2021-07-01T11:33:55Z","timestamp":1625139235000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0019995866902026"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1966,4]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1966,4]]}},"alternative-id":["S0019995866902026"],"URL":"https:\/\/doi.org\/10.1016\/s0019-9958(66)90202-6","relation":{},"ISSN":["0019-9958"],"issn-type":[{"value":"0019-9958","type":"print"}],"subject":[],"published":{"date-parts":[[1966,4]]}}}