V.B. Suchkov1, V.V. Glazkov2, D.A. Vlasenko3
1,2,3 Bauman Moscow State Technical University (Moscow, Russia)
1 vbs-2014@bmstu.ru, 2 glazkovv@bmstu.ru, 3 da.vlasenko@bmstu.ru
Locating radio emission sources (RES) in multi-position radio monitoring systems using the time-difference-of-arrival (TDOA) method requires accurate estimation of mutual time delays of stochastic signals received by spatially separated stations; the influence of the signal-to-noise ratio (SNR) and digital processing features on the accuracy of cross-correlation processing has not been sufficiently studied, which limits the sound selection of radio monitoring system parameters Objective – Investigation of the effect of the signal-to-noise ratio on the accuracy of time-delay estimation for stochastic signals in multi-site radio monitoring systems employing baseline-correlation processing.
A mathematical formulation is presented for the problem of locating radio emission sources using the time-difference-of-arrival (TDOA) method. A mathematical model has been developed to estimate time delay via correlation-based processing in both continuous and discrete time. Statistical estimates were obtained for the time delay of signals with intra-pulse linear frequency modulation across various signal-to-noise ratios and frequency deviation values. A threshold effect was identified, and it was determined that estimation accuracy is limited to half the sampling interval at high signal-to-noise ratios.
The results obtained make it possible to justify the choice of digital signal processing parameters and to evaluate the applicability conditions for baseline-correlation processing when designing multi-static radio monitoring systems, including those based on unmanned aerial vehicles.
Suchkov V.B., Glazkov V.V., Vlasenko D.A. Application features basic correlation processing stochastic signals from radio emission sources in multi-position radio monitoring systems // Science Intensive Technologies. 2026. V. 27. № 5. P. 7−21. DOI: https://doi.org/10.18127/j19998465-202605-02
- Rembovskij A.M., Ashihmin A.V., Koz'min V.A. Radiomonitoring: zadachi, metody, sredstva: Ucheb. posobie. pod red. A.M. Rembovskogo. Izd. 4-e, ispr. M.: Goryachaya liniya – Telekom. 2015. 640 s.
- Ashihmin A.V., Koz'min V.A., Rembovskij A.M. Avtomatizirovannaya sistema radiomonitoringa. Spectekhnika i svyaz'. 2012. № 1. S. 43–50.
- Radzievskij V.G., Sirota A.A. Teoreticheskie osnovy radioelektronnoj razvedki. 2-e izdanie, ispravlennoe i dopolnennoe. M.: Radiotekhnika. 2004. 432 s.
- Zajcev D.V. Mnogopozicionnye radiolokacionnye sistemy: metody i algoritmy obrabotki informacii v usloviyah pomekh. M.: Radiotekhnika. 2007.
- Shirman Ya.D. i dr. Radioelektronnye sistemy: osnovy postroeniya i teoriya: Spravochnik. M.: Radiotekhnika. 2007. 512 s.
- Mel'nikov Yu.P., Popov S.V. Radiotekhnicheskaya razvedka. Metody ocenki effektivnosti mestoopredeleniya istochnikov izlucheniya. M.: Radiotekhnika. 2008. 432 s.
- Griffiths H., Baker C.J. An introduction to passive radar: Artech house radar series. Boston: Artech house. 2017.
- Chernyak V.S. Mnogopozicionnaya radiolokaciya. M.: Radio i svyaz'. 1993. 416 s.
- Ohrimenko A.E. Osnovy radiolokacii i radioelektronnaya bor'ba. Ch. 1. M.: Voenizdat. 1983.
- Kondrat'ev V.S., Kotov A.F., Markov L.N. Mnogopozicionnye radiotekhnicheskie sistemy [Elektronnyj resurs]. M.: Radio i svyaz'. 1986. 264 s.
- Markovich I.I., Panychev A.I., Zavtur E.E. Cifrovaya obrabotka signalov v passivnoj mnogopozicionnoj RLS, sozdannoj na baze gruppirovki BLA. Izv. YuFU. Ser.: Tekhnicheskie nauki. 2022. № 1(225). S. 6–17. DOI 10.18522/2311-3103-2022-1-6-17.
- Kustkov I.A., Tektinov A.O., Volkov E.V., Lomakina D.Yu. Razrabotka vozdushnogo kompleksa opredeleniya koordinat nazemnyh istochnikov radioizlucheniya bazovo-korrelyacionnym metodom. Vestnik RAEN. 2024. T. 24. № 3. S. 66–71. DOI 10.52531/1682-1696-2024-24-3-66-71.
- Bakulev P.A., Sosnovskij A.A. Radionavigacionnye sistemy: Uchebnik. M.: Radiotekhnika. 2005. 224 s.
- Dmitrenko A.A., Sedyshev S.Yu. Minimizaciya sektora obzora po raznosti vremen zapazdyvaniya v korrelyacionno-bazovyh sistemah obnaruzheniya istochnikov radioizlucheniya s psevdoobzorom po azimutu. Vestnik Polockogo gos. un-ta. Ser. S., fundamental'nye nauki. 2014. № 4. S. 85–88.
- Dmitrenko A.A., Sedyshev S.Yu. Mezhpozicionnoe prostranstvenno-vremennoe otozhdestvlenie signalov v mnogopozicionnyh bazovo-korrelyacionnyh kompleksah passivnoj lokacii. Dokl. BGUIR. 2016. № 5 (99). S. 85–91.
- Bulychev Yu.S. i dr. Radiotekhnicheskie metody opredeleniya mestopolozheniya i parametrov dvizheniya ob"ektov: monografiya. Rostov-n/D: SKF MTUSI. 2015.
- Zekavat S.A., Buehrer R.M. Handbook of position location: theory, practice, and advances. IEEE series on mobile & digital communication. Handbook of position location. Second edition. Hoboken, New Jersey: Wiley-IEEE Press. 2019.
- Sosulin Yu.G. Teoreticheskie osnovy radiolokacii i radionavigacii. Ucheb. posobie dlya vuzov. M.: Radio i svyaz'. 1992. 304 s.
- Kustkov I.A. Model' ocenki pogreshnosti opredeleniya koordinat nazemnyh istochnikov radioizlucheniya bazovo-korrelyacionnym metodom. Radiotekhnika. 2025. T. 89. № 5. S. 45–54. DOI: https://doi.org/10.18127/j00338486-202505-05.
- Loshchin I.V., Arhipenkov D.V. Metody opredeleniya prostranstvennyh koordinat postanovshchikov aktivnyh pomekh v bazovo-korrelyacionnyh sistemah passivnoj lokacii. Mat-ly 56-ya Yubilejnoj nauch. konf. aspirantov, magistrov i studentov BGUIR. 2020. S. 180–181.
- Zyuzin A.V., Filonovich A.V., Vornacheva I.V. Ustranenie lozhnyh pelengov v adaptivnyh bazovo-korrelyacionnyh sistemah passivnoj radiolokacii. Uspekhi sovremennoj radioelektroniki. 2024. T. 78. № 11. S. 41–49. DOI: https://doi.org/ 10.18127/ j20700784-202411-05.
- Filonovich A.V., Vornacheva I.V., Stepanova V.V., Artyuhova V.I. Adaptivnaya obrabotka stohasticheskih signalov razlichnoj struktury v bazovo-korrelyacionnyh sistemah passivnoj radiolokacii. Izv. TulGU. Ser.: Tekhnicheskie nauki. 2023. Vyp.7 S. 531–536.
- Patent № RU2798923C1. Sposob obnaruzheniya i opredeleniya koordinat istochnikov radioizluchenij. I. V. Kolbasko, S.A. Mushchenko, A. V. Vasil'ev, A.V. Kvasov, S.T. Aver'yanov. 2022.
- Patent № RU2674265C1. Korrelyacionno-bazovaya sistema lokacii nepodvizhnyh istochnikov radioizlucheniya s ispol'zovaniem bespilotnogo letatel'nogo apparata. I. V. Kolbasko, A. V. Vasil'ev, A. N. Nekhajkov. 2018.
- Dmitrenko A.A., Sedyshev S.Yu. Metodika rascheta parametrov ustrojstva prostranstvenno-vremennogo otozhdestvleniya signalov v bazovo-korrelyacionnyh kompleksah passivnoj lokacii. Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioelektroniki. 2017. № 2(104). S. 17–24.
- Kulishov V.G., Burkanov V.N. Informacionno-izmeritel'nyj kompleks operativnogo radiomonitoringa (koncepciya i principy postroeniya). Vestnik Saratovskogo gosudarstvennogo tekhnicheskogo universiteta. 2005. № 2(7). S. 52–56.
- Stepanov O.A. Osnovy teorii ocenivaniya s prilozheniyami k zadacham obrabotki navigacionnoj informacii. Chast' 1. Vvedenie v teoriyu ocenivaniya. Izd. 3-e, ispr. i dop. SPb.: AO «Koncern «CNII «Elektropribor». 2017.
- Perov A.I. Statisticheskaya teoriya radiotekhnicheskih sistem: Ucheb. posobie. M.: Radiotekhnika. 2003.
- Bendat Dzh., Pnrsol A. Primenenie korrelyacionnogo i spektral'nogo analiza: Per. s angl. M.: Mir. 1983.
- Baskakov S.I. Radiotekhnicheskie cepi i signaly: ucheb. dlya vuzov po special'nosti «Radiotekhnika». Izd. 5-e, ster. M.: Vysshaya shkola. 2005. 462 s.
- Obrabotka signalov v radiotekhnicheskih sistemah: Ucheb. posobie dlya radiotekhn. spec. vuzov. M-vo vyssh. i sred. spec. obrazovaniya RSFSR; Pod red. A.P. Lukoshkina. L.: Izd-vo LGU. 1987.
- Solonina A.I. Cifrovaya obrabotka signalov v zerkale MATLAB: Ucheb. posobie. SPb.: BHV-Peterburg. 2018.
- Ajficher E., Dzhervis B. Cifrovaya obrabotka signalov. M. – SPb. – Kiev: Vil'yams. 2004.
- Sergienko A.B. Cifrovaya obrabotka signalov. Izd. 3-e. SPb.: BHV-Peterburg. 2011.
- Nanzer J.A., Sharp M.D., Richard Brown D. Bandpass signal design for passive time delay estimation. 2016 50th Asilomar Conference on Signals, Systems and Computers 2016 50th Asilomar Conference on Signals, Systems and Computers. Pacific Grove. CA. USA: IEEE. 2016. P. 1086–1091.
- Bidigare P., Obranovich C., Raeman D., Chang D., Brown D.R. Modeling, Estimation, and Bounds for Precision Two-way Time Transfer and Ranging. 2022 IEEE Aerospace Conference (AERO) 2022 IEEE Aerospace Conference (AERO). Big Sky. MT. USA: IEEE. 2022. P. 1–9.
- Neretti N., Intrator N., Cooper L.N. Pulse-train based time-delay estimation improves resiliency to noise. Proceedings of the 2004 14th IEEE Signal Processing Society Workshop Machine Learning for Signal Processing, 2004. 2004 14th IEEE Signal Processing Society Workshop Machine Learning for Signal Processing, 2004. Sao Luis, Brazil: IEEE. 2004. P. 213–222.
- Svilainis L. Review of high resolution time of flight estimation techniques for ultrasonic signals. In Proceedings of the 52nd Annual Conference of the British Institute of Non-Destructive Testing. Telford. UK. 10–12 September 2013.
- Svilainis L. Review on Time Delay Estimate Subsample Interpolation in Frequency Domain. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 2019. V. 66. № 11. P. 1691–1698.
- Viola F., Walker W.F. A spline-based algorithm for continuous time-delay estimation using sampled data. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 2005. V. 52. № 1. P. 80–93.
- Wu R., Wang W., Ji Q. FFT-Based Efficient Algorithms for Time Delay Estimation. Fourier Transform Signal Processing. Ed. S. Salih. InTech. 2012.
- Song J., Zeng Y., Lu C., Zhao X., Yu Y., Sun G. High-Precision Time Delay Estimation Algorithm Based on Multi-Path Fractional Farrow Structure. Proceedings of the 3rd International Conference on Signal Processing, Computer Networks and Communications SPCNC 2024: The 3rd International Conference on Signal Processing, Computer Networks and Communications. Sanya China: ACM. 2024. P. 549–556.
- Bai Yechao, Zhang Xinggan, Qiu Xiaojun. Subsample Time Delay Estimation Based on Weighted Straight Line Fitting to Cross-Spectrum Phase in Chinese Journal of Electronics. July 2010. V. 19. № 3. P. 553–556. DOI: 10.23919/CJE.2010.10167458.
- Yang C., Xu Y., Yu Y., Ning G., Zhu X. A New Subsample Time Delay Estimation Algorithm for LFM-Based Detection. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 2023. V. E106.A. № 3. P. 575–581.
- Gushchina O.A., Shevgunov T.Ya. Vremennye korrelyacionnye metody ocenki zaderzhki kompleksnyh signalov, nekratnoj periodu diskretizacii, na osnove polinomial'noj interpolyacii. Zhurnal radioelektroniki [elektronnyj zhurnal]. 2020. № 12. https://doi.org/10.30898/1684-1719.2020.12.19.
- Mardiev A. A., Kupcov V. D. Adaptivnyj vybor bazovyh linij na osnove sliyaniya ocenok TDOA v sistemah pelengacii. Radiotekhnika. 2026. T. 90. № 3. S. 90–106. DOI 10.18127/j00338486-202603-08.

