V.M. Artyushenko1, V.I. Volovach2

1 Moscow State University of Geodesy and Cartography (Moscow, Russia)

2 Volga Region State University of Service (Toglyatti, Russia)

2 MIREA - Russian Technological University (Moscow, Russia)

1 artuschenko@mail.ru; 2 volovach.vi@mail.ru

Engineering solutions for determining the range to moving extended objects, as a rule, involve the use of a radar distance sensor. The main thing in this case is to obtain the minimum error in determining the distance to the object being localized. Note that digital signal processing introduces its own features in determining the methodological error of the distance sensor. The article proposes a solution based on the use of a method of local optimization of parameters of an arbitrary weight function used to smooth out measurement errors in distance sensors based on the principle of a frequency range finder. The methodological component of the error of the weight method is considered as one of the key factors determining the measurement accuracy.

The purpose of the study is to optimize the parameters of the weight function, which makes it possible to ensure a minimum of the methodological error of the weight method for smoothing discreteness, and to assess the effect of noise from signal generation and processing equipment on the distance measurement result.

Optimization of parameters significantly reduces measurement error, and the effect is the more pronounced, the larger the number of terms included in the decomposition of the weight function, that is, when its form is complicated. At short distances, the noise component of the measurement error has the same order of magnitude as the methodological error, while when the range increases, its value becomes much higher. The most pronounced effect of noise is observed in cases of using more complex weight functions. As the distance increases, the measurement error decreases. It has been shown that known weight functions provide the best results when measuring relatively long ranges. The effect of additive noise on the accuracy of determining the distance using the weight approach to reducing the sampling error was assessed. It has been found that at small measuring distances, the optimal weighting function coefficients provide effective suppression of the noise component. In the area of large distances, a monotonous decrease in noise error is observed, which, however, remains significantly higher than the methodological one. Analytical expression for measurement error variance obtained.

The results obtained confirm the effectiveness and practical significance of optimizing the weight functions used in remote measurement systems based on frequency range finders. At the same time, the proposed solutions make it possible to determine the maximum permissible noise level that ensures the achievement of the required measurement accuracy in each specific case.

Artyushenko V.M., Volovach V.I. Optimization of the weight function parameters used in a distance sensor based on the frequency range finders. Radiotekhnika. 2026. V. 90. № 4. P. 95−104. DOI: https://doi.org/10.18127/j00338486-202604-12 (In Russian)

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