Asymptotic ONC distribution of quasi-chirped signal parameters

Authors

  • V. V. Hladun National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine https://orcid.org/0009-0001-1783-287X
  • O. V. Ivanov National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine https://orcid.org/0000-0001-5250-6781
  • A. M. Krugol National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine

DOI:

https://doi.org/10.20535/mmtu-2025.2-017

Keywords:

harmonic signal,, elementary chirped signal,, strongly/weakly dependent stationary Gaussian process,, least squares estimation,, uniform law of large numbers,, Fresnel integrals,, strong consistency,, spectral measure of the regression function,, asymptotic normality.

Abstract

The paper considers a continuous-time elementary quasi-chirped signal observed against the background of additive strongly or weakly dependent Gaussian random noise. As an estimate of the unknown parameters of this signal, the least squares estimate (LSE) is considered. The asymptotic properties of the LSE of the studied signal were considered and theorems on the strong consistency and asymptotic normality of the LSE of the unknown parameters of the quasi-chirped signal were obtained.

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Published

2025-12-30

Issue

Vol. 2025 No. 2

Section

Analytical methods in mathematics