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Problemy Peredachi Informatsii, 1977, Volume 13, Issue 2, Pages 72–82
(Mi ppi1084)
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Methods of Signal Processing
Potential Possibilities of Detection of Random Paths
K. Sh. Zigangirov
Abstract:
The testing of two hypotheses in Gaussian noise is considered, namely, of the hypothesis $H_0$ that there is no particle in the observation field, and of the hypothesis $H_1$ of presence of a particle in the field, with the distribution of the paths of the particle being known. An upper bound is obtained for signal-to-noise ratios for which it is impossible in principle to test the hypotheses with arbitrarily small error probabilities, and a lower bound is obtained for signal-to-noise ratios for which this is possible.
Received: 27.10.1975
Citation:
K. Sh. Zigangirov, “Potential Possibilities of Detection of Random Paths”, Probl. Peredachi Inf., 13:2 (1977), 72–82; Problems Inform. Transmission, 13:2 (1977), 132–140
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https://www.mathnet.ru/eng/ppi1084 https://www.mathnet.ru/eng/ppi/v13/i2/p72
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Abstract page: | 208 | Full-text PDF : | 82 |
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