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Estimation of the energy spectrums of reflections in pulse doppler weather radars. Part 1. Modifications of the spectral estimation algorithms

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Abstract

This is the first paper in a series of papers devoted to the peculiarities of estimation of the continuous energy spectra of random processes of different nature, which are defined by their samples at discrete moments of time. In the paper we consider two kinds of the generalized spectrum analyzers (GSA), whose structure fits the majority of classical (nonparametric) and modern noneigenstructured spectral estimation (SE) methods. It has been demonstrated that a number of known superresolution SE methods may be considered as particular cases of parametric GSA based on whitening or inversing filters of the input process. We focus on the autoregressive models of analyzed processes with continuous energy spectrums, for which the whitening or inversing filters are the transversal filters of various structures with proper parameters. The utilized interpretation allows one to modify the well-known superresolution SE methods for the problem of continuous spectrums reconstruction and, what is more important, to establish their new varieties with practically useful properties, that are going to be explored in the following two papers.

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Authors and Affiliations

  1. Kharkiv National University of Radioelectronics, Kharkiv, Ukraine

    D. I. Lekhovytskiy, D. S. Rachkov & A. V. Semeniaka

  2. Kharkiv Air Force University, Kharkiv, Ukraine

    D. V. Atamanskiy

Authors
  1. D. I. Lekhovytskiy
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  2. D. V. Atamanskiy
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  3. D. S. Rachkov
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  4. A. V. Semeniaka
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Correspondence to D. I. Lekhovytskiy.

Additional information

Original Russian Text © D.I. Lekhovytskiy, D.V. Atamanskiy, D.S. Rachkov, A.V. Semeniaka, 2015, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2015, Vol. 58, No. 12, pp. 3–30.

ORCID: 0000-0001-7519-3239

ORCID: 0000-0002-8705-8584

ORCID: 0000-0002-9329-1294

ORCID: 0000-0002-1170-6151

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Lekhovytskiy, D.I., Atamanskiy, D.V., Rachkov, D.S. et al. Estimation of the energy spectrums of reflections in pulse doppler weather radars. Part 1. Modifications of the spectral estimation algorithms. Radioelectron.Commun.Syst. 58, 523–550 (2015). https://doi.org/10.3103/S0735272715120018

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