Estimation of Stability Bounds of the Second-Order Filter With Effective Finite Memory and Incomplete Range-Doppler Error Compensation

Mariia A. Murzova, Vladimir E. Farber and Marina V. Golovko
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Mariia A. Murzova: JSC "Radiofizika"
Vladimir E. Farber: JSC "Radiofizika"
Marina V. Golovko: Belgorod State National Research University

Economics. Information Technologies, 2026, vol. 53, issue 2, 400-407

Abstract: This paper describes a second-order filter with constant weight coefficients and incomplete range-Doppler error compensation that approximates a finite-memory filter. The method of incomplete range-Doppler error compensation consists in correcting the range measurements for the range-Doppler error. The range-Doppler error arises from the use of linear frequency-modulated signals. Using a suboptimal method of range-Doppler error compensation in the filter equations leads to a stability filter problem. The study estimates the stability bounds of the second-order filter with constant weight coefficients and incomplete range-Doppler error compensation, which approximates the finite-memory filter. We have identified the condition of divergence of the filter with incomplete compensation of the speed error and obtained expressions for determining the stability boundaries of a second-order filter with effective finite memory and incomplete compensation of the speed error, in the case of describing the motion model. An expression has been found that describes the law of change in the range of a radar object moving with constant acceleration.

Keywords: compensation; speed error; filter with constant weight coefficients; filtering; steady state (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eul:ecoinf:v:53:y:2026:i:2:p:400-407

DOI: 10.52575/2687-0932-2026-53-2-400-407

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