Previous article Next article The Detection of Radar Echoes in Noise. IE. J. Kelly, I. S. Reed, and W. L. RootE. J. Kelly, I. S. Reed, and W. L. Roothttps://doi.org/10.1137/0108020PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. Gabor, Theory of communications, J. Inst. Elect. Engrs. (III), 93 (1946), 429– Google Scholar[2] P. M. Woodward, Probability and information theory, with applications to radar, McGraw-Hill Book Co., Inc., New York, 1953x+128 MR0058912 0052.36503 Google Scholar[3] R. Arens, Complex processes for envelopes of normal noise, IRE Trans., PGIT-3 (1957), 204– 10.1109/TIT.1957.1057417 CrossrefISIGoogle Scholar[4] J. L. Doob, Stochastic processes, John Wiley & Sons Inc., New York, 1953viii+654 MR0058896 0053.26802 Google Scholar[5] J. L. Lawson and , G. E. Uhlenbeck, Threshold Signals, M.I.T. Radiation Laberatory Series, Vol. 24, McGraw-Hill, New York, 1950, (See also [6] and [1.0] for further references, and [10] and [1.1] for recent expositions of this material.) Google Scholar[6] David Middleton and , David van Meter, Detection and extraction of signals in noise from the point of view of statistical decision theory. I, J. Soc. Indust. Appl. Math., 3 (1955), 192–253 10.1137/0103017 MR0080032 0074.13001 LinkISIGoogle Scholar[7] David Middleton and , David Van Meter, Detection and extraction of signals in noise from the point of view of statistical decision theory. II, J. Soc. Indust. Appl. Math., 4 (1956), 86–119 10.1137/0104006 MR0090497 0074.13001 LinkISIGoogle Scholar[8] D. Middleton and , D. van Meter, Modern statistical approaches to reception in communication, PGIT Symposium on Information Theory, IRE Trans., 1954, 119–, September Google Scholar[9A] David Middleton, Statistical criteria for the detection of pulsed carriers in noise. I, J. Appl. Phys., 24 (1953), 371–378 10.1063/1.1721290 MR0055652 0052.36803 CrossrefISIGoogle Scholar[9B] David Middleton, Statistical criteria for the detection of pulsed carriers in noise. II, J. Appl. Phys., 24 (1953), 379–391 10.1063/1.1721291 MR0055653 0052.36803 CrossrefISIGoogle Scholar[10] D. Middleton, forthcoming book Google Scholar[11] Wilbur B. Davenport, Jr. and , William L. Root, An introduction to the theory of random signals and noise, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1958ix+393 MR0092275 0198.24002 Google Scholar[12] R. C. Davis, On the detection of sure signals in noise, J. Appl. Phys., 25 (1954), 76–82 10.1063/1.1721524 MR0059509 0057.35102 CrossrefISIGoogle Scholar[13] W. W. Peterson, , T. G. Birdsall and , W. C. Fox, The theory of signal dectectability, Trans. I.R.E., PGIT-4 (1954), 171–212 MR0089130 Google Scholar[14] Edgar Reich and , Peter Swerling, The detection of a sine wave in Gaussian noise, J. Appl. Phys., 24 (1953), 289–296 10.1063/1.1721267 MR0054225 0052.36802 CrossrefISIGoogle Scholar[15] D. Slepian, Estimation of signal parameters in the presence of noise, I.R.E. Trans., PGIT-3 (1954), 68– 0058.35702 Google Scholar[16] P. M. Woodward and , I. L. Davies, Information theory and inverse probability in telecommunication, Proc. Inst. Elec. Engrs. Part III., 99 (1952), 37–44 MR0045977 ISIGoogle Scholar[17] C. E. Shannon, A mathematical theory of communication, Bell System Tech. J., 27 (1948), 379–423, 623–656, Part III MR0026286 CrossrefGoogle Scholar[18] W. L. Root and , T. S. Pitcher, Some remarks on statistical detection, I.R.E. Trans., PGIT-1 (1955), 33– Google Scholar[19] Ulf Grenander, Stochastic processes and statistical inference, Ark. Mat., 1 (1950), 195–277 MR0039202 CrossrefGoogle Scholar[20] E. Lehmann, Theory of Testing Hypotheses, Lecture Notes, University of California, 1949 Google Scholar[21] F. Riesz and , B. Nagy, Functional Analysis, Ungar, New York, 1955 0070.10902 Google Scholar[22] M. Loéve, Probability Theory, D. van Nostrand, New York, 1955 0066.10903 Google Scholar[23] P. Lévy, Processus Stochastiques et Mouvement Brownien, Gauthier-Villars, Paris, 1948, (See Appendix: Fonctions Aléatoires du Second Ordre, M. Loéve.) 0034.22603 Google Scholar[24] J. Neyman and , E. Pearson, On the problem of the most efficient tests of statistical hypotheses, Philos. Trans.Roy. Soc. London. Ser. A, 231 (1933), 289– 0006.26804 CrossrefGoogle Scholar[25] Abraham Wald, Statistical Decision Functions, John Wiley & Sons Inc., New York, N. Y., 1950ix+179 MR0036976 0040.36402 Google Scholar[26] M. Kendall, The Advanced Theory of Statistics, Hafner Pub. Co., New York, 1951 Google Scholar[27] E. J. Kelly, , D. H. Lyons, , H. M. Jones and , I. S. Reed, Analysis of some detection criteria for pulsed radar, MIT Lincoln Laboratory, Technical Report No. 172, 1958, (Not generally available.) Google Scholar[28] I. S. Reed, , E. J. Kelly and , D. H. Lyons, Hahn decompositions and hypothesis tests, MIT Lincoln Laboratory, Technical Report No. 152, 1957, (Not generally available.) Google Scholar[29] Bernard M. Dwork, Detection of a pulse superimposed on fluctuation noise, Proc. I. R. E., 38 (1950), 771–774 MR0036961 CrossrefISIGoogle Scholar[30] W. Siebert, A radar detection philosophy, I.R.E. Trans., PGIT-3 (1956), 204– Google Scholar[31] P. Swerling, Parameter estimation for waveforms in additive Gaussian noise, J. Soc. Indust. Appl. Math., 7 (1959), 152–166 10.1137/0107014 MR0128007 0104.36503 LinkISIGoogle Scholar[32] J. Chover, A theorem on integral transforms with application to prediction theory, MRC Technical Summary Report No. 65, Math. Research Center, U. S. Army, University of Wisconsin, Madison, Wisconsin, 1959, January CrossrefGoogle Scholar[33] S. P. Lloyd, Stochastic processes with analytic covariance, Notices of Amer. Math. Soc., 5 (1958), 789– Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Hypothesis Testing of Gaussian Processes with Composite AlternativesEdmund H. Inselmann28 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 12, No. 2AbstractPDF (1413 KB) Volume 8, Issue 2| 1960Journal of the Society for Industrial and Applied Mathematics History Submitted:29 December 1958Published online:10 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0108020Article page range:pp. 309-341ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics
No takes yet. Share an insight, caveat, or question.
Kelly et al. (1960) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: