Enviar artigo por via de e-mail ON ESTIMATING THE TIME SHIFT OF A RANDOM PERIODIC OFDM SIGNAL
- Autores: Golubev G.K1, Potapov V.G1
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Afiliações:
- Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
- Edição: Volume 61, Nº 2 (2025)
- Páginas: 30-49
- Seção: Methods of Signal Processing
- URL: https://journal-vniispk.ru/0555-2923/article/view/316643
- DOI: https://doi.org/10.7868/S3034583925020033
- ID: 316643
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Resumo
We consider the problem of estimating the time shift of an unknown, random, wideband OFDM signal with N subcarriers and periodic synchronization insertions. The signal is assumed to be observed against a background of white Gaussian noise, and a small amount of received data is used to construct the estimate. Such problems arise in geolocation using low-orbit satellite constellations. To estimate the maximum posterior probability (MPP) of the time shift, we find its limiting distribution as N → ∞ and investigate its large deviations using the method of fractional derivatives.
Sobre autores
G. Golubev
Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
Email: golubev.yuri@gmail.com
Moscow
V. Potapov
Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
Email: potapov@iitp.ru
Moscow
Bibliografia
- Reid T.G.R., Neish A.M., Walter T., Enge P.K. Broadband LEO Constellations for Navigation // Navigation. 2018. V. 65. № 2. P. 205–220. https://doi.org/10.1002/navi.234
- Psiaki M.L. Navigation Using Carrier Doppler Shift from a LEO Constellation: TRANSIT on Steroids // Navigation. 2021. V. 68. № 3. P. 621–641. https://doi.org/10.1002/navi.438
- Humphreys T.E., Iannucci P.A., Komodromos Z.M., Graff A.M. Signal Structure of the Starlink Ku-Band Downlink // IEEE Trans. Aerosp. Electron. Syst. 2023. V. 59. № 5. P. 6016–6030. https://doi.org/10.1109/TAES.2023.3268610
- Kozhaya S.E., Kassas Z.M. Positioning with Starlink LEO Satellites: A Blind Doppler Spectral Approach // Proc. 2023 IEEE 97th Vehicular Technology Conf. (VTC2023-Spring). Florence, Italy. June 20–23, 2023. P. 1–5. https://doi.org/10.1109/VTC2023-Spring57618.2023.10199264
- Ибрагимов И.А., Хасьминский Р.З. Асимптотическая теория оценивания. М.: Наука, 1979.
- Le Cam L., Yang G.L. Asymptotics in Statistics: Some Basic Concepts. New-York: Springer, 2000.
- Kutoyants Y.A. Introduction to the Statistics of Poisson Processes and Applications. Cham: Springer, 2013. https://doi.org/10.1007/978-3-031-37054-0
- Khalife J., Neinavaie M., Kassas Z.M. The First Carrier Phase Tracking and Positioning Results with Starlink LEO Satellite Signals // IEEE Trans. Aerosp. Electron. Syst. 2022. V. 56. № 2. P. 1487–1491. https://doi.org/10.1109/TAES.2021.3113880
- Rubin H., Song K.-S. Exact Computation of the Asymptotic Effciency of Maximum Likelihood Estimators of a Discontinuous Signal in a Gaussian White Noise // Ann. Statist. 1995. V. 23. № 3. P. 732–739. https://doi.org/10.1214/aos/1176324618
- Гихман И.И., Скороход А.В. Введение в теорию случайных процессов. М.: Наука, 1965.
- Donsker M.D. An Invariance Principle for Certain Probability Limit Theorems // Four Papers on Probability. Mem. Amer. Math. Soc. V. 6. Providence, RI: Amer. Math. Soc., 1951. P. 50–61.
- Miller K.S., Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations. New York: Wiley, 1993.
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