Journal of Radio Electronics. eISSN 1684-1719. 2026. №7
Full text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2026.7.7
OF A ONE-DIMENSIONAL POSITIONING SYSTEM
IN LONG UNDERGROUND STRUCTURES
D.V. Fedosov, A.V. Kolesnikov
HF-Communication, 644012, Omsk, Akademika Koroleva ave., 32.
The paper was received May 29, 2026.
Abstract. The article is devoted to phase radio ranging in the medium-wave range in quasi-one-dimensional underground structures (mines). The errors arising from lateral displacement, vertical orientation of the subscriber's receiver, noise, and synchronization with the base station's generator are considered. A model of a receiving dipole in the field of a single-wire transmission line above a homogeneous half-space is used for signal analysis. It is shown that a magnetic dipole is the most suitable for use in subscriber devices. A stochastic model with a Gaussian distribution for the dipole's tilt, a Rayleigh distribution for radial displacement, and white noise is used. At low signal-to-noise ratios (below 30 dB), the error in determining coordinates is determined by the noise level and approaches 15 m at 10 dB. At signal-to-noise ratios exceeding 35 dB, the graphs approach a horizontal line, indicating that the error is determined by the physical characteristics of signal reception, regardless of the signal-to-noise ratio, and the accuracy is approximately 4 meters.
Key words: underground communication, underground navigation, positioning, phase-based radio-altimetry, positioning error.
Corresponding author: Kolesnikov Andrey Viktorovich, kolesnikov.radio@yandex.ru
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For citation:
Fedosov D.V., Kolesnikov A.V. Stochastic model of a one-dimensional positioning system in long underground structures // Journal of Radio Electronics. – 2026. – №. 7. https://doi.org/10.30898/1684-1719.2026.7.7 (In Russian)