QUASIOPTIMAL NONLINEAR FILTERING OF LASER DOPPLER VIBROMETER SIGNALS
V. A. Grechikhin, D. A. Titov
National Research University MEI, ul. Krasnokazarmennaya 14, Moscow, 111250 Russia
Keywords: laser Doppler vibrometer, quasioptimal nonlinear filtering algorithm, relative vibration displacement amplitude, mathematical simulation method
Abstract
The problem of quasioptimal nonlinear filtering of heterodyne laser Doppler vibrometer signals is solved in the Gaussian approximation of a posteriori probability density of the vector of estimated parameters. A filtering algorithm is synthesized for the case of monoharmonic vibrations with a fluctuating vibration displacement amplitude model in the form of a normal Markov random process. Mathematical simulation is used to show the efficiency of the algorithm of tracking the unknown parameters of the laser Doppler vibrometer signal in the presence of additive monitoring noise and the deterministic trend of the information parameter.
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