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UDC 004.932.2

SPECTRAL ESTIMATION OF MULTI-FREQUENCY REFLECTIONS FROM A ROTATING SPACE OBJECT BY LEAST-SQUARES PRONY’S METHOD

D. V. Avramenko, graduate student RSREU; This email address is being protected from spambots. You need JavaScript enabled to view it.

The article is devoted to the problem of spectral analysis of reflections from a rotating space object in the process of simultaneous observations in different ranges of lengths of electromagnetic waves. The aim of this work is to improve the quality of spectral estimation of process, variability of multi-frequency reflections from space objects. The method of modeling is based on describing experimental data by the sum of exponential functions. Least squares Prony's method is proposed to be used. The exponential model was used to determine energy spectral density of a signal. It is shown that the application of this method in the presence of decreasing (increasing) of signal power and small (1...5) number of observed periods of object rotation enables to reduce relative deviation ΔF (from 2 to 60 times), in comparison with usual vector autoregressive approach.

Key words: linear vector auto regression, Prony's method, spectrum, spectral, parametric estimation, vector time series modeling, redefined equations system of Yule-Walker, quasiinverse matrix, minimization of mean square error.

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