Abstract
In this paper the problem of a physically realizable whitening-filter (WF) synthesis for cryogenic resonant gravitational-wave antennas is considered in the framework of the optimal linear Kalman-Bucy filtering. A system of equations determining the structure of the Kalman filter for gravitational-wave antennas with a displacement converter is presented. The transfer function of a stationary physically realizable WF is derived. The Kalman approach ensures the possibility of high frequency parameter measurements of Gaussian and non-Gausssian noises in low-dissipation oscillatory systems for observation intervals, which are relatively short in comparison to the relaxation time.
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References
P. Astone, S. Buttiglione, S. Frasca, et al., IL Nuovo Cimento 20C(1), 9 (1997).
Yu. G. Sosulin, Theoretical background of radiolocation and radionavigation, (Radio i Svyaz’, Moscow, 1992).
E. I. Kulikov, The Methods of Random Process Measurement, (Radio i Svyaz’, Moscow, 1986).
S. M. Rytov, An Introduction to Statistical Radiophysics, Vol. 1, (Nauka, Moscow, 1976).
H. L. van Trees, Detection, Estimation, and Modulation Theory, Vol. 1, (Wiley-Interscience, New York, 2001).
P. Michelson, R. C. Taber, Phys. Rev. D, 29, 2149–2152 (1984).
O. E. Shelukhin, Non-Gaussian Random Processes in Radio Engineering, (Radio i Svyaz’, Moscow, 1999).
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Original Russian Text © A.V. Gusev, 2009, published in Vestnik Moskovskogo Universiteta. Fizika, 2009, No. 2, pp. 10–13.
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Gusev, A.V. A physically realizable whitening filter for cryogenic resonant gravitational-wave antennas. Moscow Univ. Phys. 64, 110–114 (2009). https://doi.org/10.3103/S0027134909020027
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DOI: https://doi.org/10.3103/S0027134909020027