Signal and noise in nonlinear devices
Charles A. Greenhall (1969)
Rendiconti del Seminario Matematico della Università di Padova
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Charles A. Greenhall (1969)
Rendiconti del Seminario Matematico della Università di Padova
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Ludvík Prouza (1984)
Kybernetika
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Papanikolaou, V., Plataniotis, K. N., Venetsanopoulos, A. N. (1999)
Mathematical Problems in Engineering
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Xu Sun, Jinqiao Duan, Xiaofan Li, Xiangjun Wang (2015)
Banach Center Publications
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The Kalman filter is extensively used for state estimation for linear systems under Gaussian noise. When non-Gaussian Lévy noise is present, the conventional Kalman filter may fail to be effective due to the fact that the non-Gaussian Lévy noise may have infinite variance. A modified Kalman filter for linear systems with non-Gaussian Lévy noise is devised. It works effectively with reasonable computational cost. Simulation results are presented to illustrate this non-Gaussian filtering...
Tomás Cipra, Asunción Rubio (1991)
Trabajos de Estadística
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The dynamic linear model with a non-linear non-Gaussian observation relation is considered in this paper. Masreliez's theorem (see Masreliez's (1975)) of approximate non-Gaussian filtering with linear state and observation relations is extended to the case of a non-linear observation relation that can be approximated by a second-order Taylor expansion.
Miroslav L. Dukić, Zoran S. Dobrosavljević (1997)
Kybernetika
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Bruno Šubert (1967)
Aplikace matematiky
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In this paper an estimate for the maximum difference of onedimensional distribution function of a random process and the normal distribution function is given. The process is supposed to be obtained by a passage of a sequence of pulses with random polarity through a linear filter. In two special cases the influence of the impulse-response function of the filter on the difference is studied.