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UDC 004.932.2

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

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

The problem of spectral analysis of light reflections from a rotating object at its simultaneous observations in different ranges of lengths of electromagnetic waves is considered. The aim of the work is to improve the accuracy of spectral estimation of multi-frequency reflections from space objects under conditions of smooth change in their brightness. It is proposed to use an improved Prony's method of least squares, which takes into account as a weight vector w=[wt] with accuracy 1≥wt≥0 data samples, the reliability of which falls with the growth of their order due to the reduction of statistical material. The research has shown that for spectral analysis, which smoothly changes its intensity of X light reflection process from a space object and a small (1...5) number of observed periods of its rotation, it is possible to significantly (from 85 to 240 times) reduce relative deviation ΔF of reflecting object rotation frequency estimationin comparison with the known Prony's method of the smallest squares.

Key words: linear vector autoregressive, Prony's method, weight vector, parametric spectral estimation, vector and time series modeling, Yule – Walker system of equations, pseudo inverse matrix, minimization of mean square error.

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