Estimation of time moments of signals with the use of wavelet analysis

Authors

  • Yu. N. Parshin Ryazan State Radio Engineering University, Russian Federation
  • I. V. Yelinskii Ryazan State Radio Engineering University, Russian Federation
  • I. A. Danilin Ryazan State Radio Engineering University, Russian Federation

DOI:

https://doi.org/10.3103/S0735272705080078

Abstract

The paper is devoted to estimating the time moments of signals, backgrounded by noise, with the use of the wavelet analysis and the matrix weight coefficient. Analysis of errors is performed for the first initial and the second central moment. Under certain conditions, computational efficiency of the suggested technique exceeds that inherent in the existing methods of time analysis.

References

MALAKHOV, A.N. The Cumulant Analysis of Random Non-Gaussian Processes and Their Transforms [in Russian]. Moscow: Sov. Radio, 1978.

FRANKS, L. Theory of Signals [Russian translation]. Moscow: Sov. Radio, 1974.

DAUBECHIES, I. Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, v.41, n.7, p.909-996, 1988. DOI: http://doi.org/10.1002/cpa.3160410705.

VAN TRIS, G. Theory of Detection, Estimation, and Modulation, Vol. 1 [Russian translation, ed. by V. I. Tikhonov]. Moscow: Sov. Radio, 1972.

SHUP, T.Y. Applied Numerical Methods in Physics and Technology [Russian translation, ed. by S. P. Merkur’yev]. Moscow: Vysshaya Shkola, 1990.

NOVIKOV, L.V. Spectral analysis of signals in wavelet basis. Nauchnoye Proborostroyeniye, v.10, n.3, p.57-64, 2000.

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Published

2005-08-07

Issue

Vol. 48 No. 8 (2005)

Section

Research Articles