V.I. Parfenov1, A.A. Kalininsky2, Kaung Myat San3, A.V. Terekhov4

1,2 Voronezh State University (Voronezh, Russia)

3,4 National Research University “MPEI” (Moscow, Russia)

1 vip@phys.vsu.ru, 2 kalininskii-a-98@mail.ru, 3 KaunMyat@mpei.ru, 4 aleksandr-terekhov@ya.ru

The tasks solved using wireless sensor networks are quite diverse. In particular, one can highlight the task related to the estimation of some parameter of a radiation source being observed, that is, it is required to synthesize an algorithm for complex estimation that would be optimal in some sense. The paper shows that such an algorithm, unlike the known ones, should take into account the distribution of the estimated parameter. Four main models of such distribution are considered, assuming that the estimated parameter is nonpower. Two algorithms for complex estimation are introduced, each of which depends on the type of the specified model. Using computer simulation, an analysis of the proposed algorithms is performed, based on which conditional characteristics of the considered estimates such as biases and variances are obtained. The results obtained allow identifying the conditions of operation of the developed systems that ensure the required efficiency of estimation.

Parfenov V.I., Kalininsky A.A., Kaung Myat San, Terekhov A.V. A study of the influence of the type of distribution of an unknown parameter on the efficiency of its complex estimation. Radiotekhnika. 2025. V. 89. № 12. P. 110−122. DOI: https://doi.org/10.18127/j00338486-202512-13 (In Russian)

1. Ratu D.J., Sameena B. Brief survey on wireless sensor network routing. 2023 7-th International Conference Computation Systems and Information Technology for Sustainable Solutions (CSITSS). Bangalore. India. 2023. Р. 1-8. https://doi.org/10.1109/CSITSS605.15.2023.10334097.
2. Jamshed M.A., Ali K., Abbasi Q.H., Imran M.A., Ur-Rehman M. Challenges, applications, and future of wireless sensors in Internet of Things. IEEE Sensors Journal. 2022. V. 22(7). P. 5482-5494. https://doi.org/10.1109/JSEN.2022.3148128.
3. Vishnoi N., Dwivedi R.K. Comprehensive survey on the reliability of wireless sensor networks. 2022 11-th International Conference on System Modeling & Advancement in Research Trends (SMART). Moradabad. India. 2022. Р. 496-502. https://doi.org/10.1109/SMART55829.2022.10047428.
4. Yao Y.-D., Cui Y.-P., Wang J.-J., Wang C. Energy-efficient routing protocol based on multi-threshold segmentation in wireless sensor networks for precision agriculture. IEEE Sensor Journal. 2022. V. 22(8). P. 6216-6231. https://doi.org/10.1109/JSEN.2022.3150770.
5. Fun W., Li C., Huang Y., Ottersten B. Joint parameter estimation from binary observations over decentralized channels. IEEE Transactions on Signal Processing. 2022. V. 70. P. 509-522. https://doi.org/10.1109/TSP.2022.3141254.
6. Zhang X., Vasconcelos M.M., Cui W., Mitra U. Distributed remote estimation over the collision channel with and without local communication. IEEE Transactions on Control of Network Systems. 2022. V. 9(1). P. 282-294. https://doi.org/10.1109/TCNS.2021.3100405.
7. Khobahi S., Soltanalian M., Jiang F., Swindlehurst A.L. Optimized transmission for parameter estimation in wireless sensor networks. IEEE Transactions on Signal and Information Processing over Networks. 2020. V. 6. P. 35-47. https://doi.org/10.1109/TSIPN.2019.2945631.
8. Pereira S.S., Lopez-Valcarce R. Pages-Zamora A. Parameter estimation in wireless sensor networks with faulty transducers: A distributed EM approach. Signal Processing. 2018. V. 144. P. 226-237. https://doi.org/10.1016/j.sigpro.2017.10.012.
9. Ravazzi C., Chan N.P.K., Frasca P. Distributed estimation from relative measurements of heterogeneous and uncertain quality. IEEE Transactions on Signal and Information Processing over Networks. 2019. V. 5(3). P. 203-217. https://doi.org/10.1109/TSIPN.2018.2869117.
10. Fascista A., Coluccia A., Ravazzi C. A unified Bayesian framework for joint estimation and anomaly detection in environmental sensor networks. IEEE Access. 2023. V. 11. P. 227-248. https://doi.org/10.1109/ACCESS.2022.3231909.
11. Fagnani F., Fosson S.M., Ravazzi C. A distributed classification/estimation algorithm for sensor networks. SIAM Journal on Control and Optimization. 2014. V. 52(1). P. 189-218. https://doi.org/10.1137/120876873.
12. Akhtar J., Rajawat K. Distributed sequential estimation in wireless sensor networks. IEEE Transactions on Wireless Communications. 2018. V. 17(1). P. 86-100. https://doi.org/10.1109/TWC.2017.2762672.
13. Mayer F., Vogel C. An optimization-based approach to one-bit quantization. 2024 IEEE International Symposium on Circuits and Systems (ISCAS). Singapore. 2024. Р. 1-5. https://doi.org/10.1109/ISCAS58744.2024.10558238.
14. Nguyen T., Nguyen T. Optimal thresholding quantizer maximizing mutual information of discrete multiple-input continuous one-bit output quantization. 2021 IEEE International Symposium on Information Theory (ISIT). Melbourne. Australia. 2021. Р. 646-651. https://doi.org/10.1109/ISIT45174.2021.9518029.
15. Richards M.A., Scheer J.A., Holm W.A. Principles of modern radar: Basic principles. Edison: SciTech Publishing. 2010. 960 p.
16. Kulikov E.I., Trifonov A.P. Ocenka parametrov signalov na fone pomeh. M.: Sovetskoe radio. 1978. 296 s. (in Russian).
17. Trifonov A.P., Shinakov Ju.S. Sovmestnoe razlichenie signalov i ocenka ih parametrov na fone pomeh. M.: Radio i svjaz'. 1986. 264 s. (in Russian).
18. Moon T.K., Stirling W.C. Mathematic methods and algorithms for signal processing. Upper Saddle River: Prentice Hall, 2000. 984 p.
19. Teorija obnaruzhenija signalov. Pod red. P.A. Bakuta. M.: Radio i svjaz'. 1984. 440 s. (in Russian).
20. Chernoyarov O.V., Sai Si Thu Min, Salnikova A.V., Shakhtarin B.I., Artemenko A.A. Application of the local Markov approximation method for the analysis of information processes processing algorithms with unknown discontinuous parameters. Applied Mathematical Sciences. 2014. V. 8(90). P. 4469-4496. https://doi.org/10.12988/ams.2014.46415.
21. Spravochnik po special'nym funkcijam. Pod red. M. Abramovica, I. Stigan. M.: Nauka. 1979. 831 s. (in Russian).
22. Ibragimov I.A., Has'minskij R.Z. Asimptoticheskaja teorija ocenivanija. M.: Nauka. 1979. 528 s. (in Russian).
23. Chernoyarov O.V., Kutoyants Y.A., Trifonov A.P. On misspecifications in regularity and properties of estimators. Electronic Journal of Statistics. 2018. V. 12(1). P. 80-106. https://doi.org/10.1214/17-EJS1385.
24. Parfenov V.I., Le V.D. Optimal fusion rule for distributed detection with channel errors taking into account sensors’ unreliability probability when protecting coastlines. International Journal of Sensor Networks. 2022. V. 38(3). P. 71-84. https://doi.org/10.1504/IJSNET.2022.121157.