Abstract
New physical and mathematical definitions are proposed for the one-dimensional probability density in the stationary random process differentiable in the mean square. Prospects for using the formulas are discussed. An experimental confirmation is given of the possibility of analyzing signal compositions and synthesizing signals with given probability characteristics.
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REFERENCES
V. A. Kuznetsov et al., Measurements in Electronics: Handbook, V. A. Kuznetsov (ed.), [in Russian], Energoatomizdat, Moscow (1987).
S. A. Labutin and M. V. Pugin, Statistical Models and Methods in Measurement Tasks: A Monograph [in Russian], Izd. Nizhegorod. Gos. Tekh. Univ., Novgorod (2000).
Yu. G. Pollyak and V. A. Filimonov, Statistical Computer Simulation of Communication Facilities [in Russian], Radio i Svyaz', Moscow (1988).
G. Korn and T. Korn, Mathematics Handbook for Scientists and Engineers [Russian translation], Nauka, Moscow (1984).
B. R. Levin, The Theory of Random Processes and Its Applications [in Russian], Sov. Radio, Moscow (1957).
E. S. Venttsel', Probability Theory [in Russian], Nauka, Moscow (1964).
H. Kramer, Mathematical Methods of Statistics, Part 2 [Russian translation], A. N. Kolmogorov (ed.), Izd. Inostr. Lit., Moscow (1948).
L. V. Novitskii and I. A. Zograf, Estimating the Errors of Measurement Results [in Russian], Energoatomizdat, Leningrad (1991).
G. Ya. Mirskii, Hardware Determination of Random-Process Characteristics [in Russian], Energiya, Moscow (1972).
MI 1317-2004, The State System of Measurements: Measurement Results and Error Characteristics: Representation Forms: Methods of Use in Testing Product Specimens and Monitoring Their Parameters [in Russian].
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Translated from Izmeritel'naya Tekhnika, No. 7, pp. 17–19, July, 2005.
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Lukinykh, O.G. A New Technology for Synthesizing Signals with Preset Probability Characteristics. Meas Tech 48, 651–653 (2005). https://doi.org/10.1007/s11018-005-0198-6
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DOI: https://doi.org/10.1007/s11018-005-0198-6