Refinement Method of Frequency Shift Definition of Spectrum Obtained at Low Resolution of Analyzer

B. I. Valeev; Валеев Б. И.; T. A. Agliullin; Аглиуллин Т. А.; A. Zh. Sakhabutdinov; Сахабутдинов А. Ж.

doi:10.31857/S0032816223050154

Refinement Method of Frequency Shift Definition of Spectrum Obtained at Low Resolution of Analyzer

Authors: Valeev B.I.¹, Agliullin T.A.¹, Sakhabutdinov A.Z.²
Affiliations:
1. Kazan National Research Technical University Named after A.N. Tupolev-KAI Department of Radiophotonics and Microwave Technologies
2. Казанский национальный исследовательский технический университет имени А.Н. Туполева–КАИ Кафедра радиофотоники и микроволновых технологий
Issue: No 5 (2023)
Pages: 78-83
Section: ОБЩАЯ ЭКСПЕРИМЕНТАЛЬНАЯ ТЕХНИКА
URL: https://journals.rcsi.science/0032-8162/article/view/138479
DOI: https://doi.org/10.31857/S0032816223050154
EDN: https://elibrary.ru/ZKKPUZ
ID: 138479

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Abstract
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Abstract

The paper proposes a new method for the frequency shift determination of the spectrum obtained under conditions of low resolution of the analyzer, which allows, due to mathematical processing of the signal describing the spectrum, to determine its frequency shift with a resolution two orders of magnitude greater than the instrumental one. The method is based on representing a signal describing a frequency-shifted spectrum as a continuous function differentiable everywhere, expanding it into a Taylor series, approximating its derivatives by finite differences of a given order, and determining the frequency shift by the least squares method. The mathematical substantiation of the method as well as the results of numerical experiments are given. The prospects for the application of the proposed method are discussed.

References

Capmany J., Novak D. // Nature Photon. 2007. V. 1. P. 319. https://doi.org/10.1038/nphoton.2007.89
Jin Y., Dong X., Gong H., Shen C. // Microwave Opt. Technol. Lett. 2010. V. 52. P. 1375. https://doi.org/10.1002/mop.25178
Morozov O.G., Sakhabutdinov A.J. // Computer Opt. 2019. V. 43. P. 535. https://doi.org/10.18287/2412-6179-2019-43-4-535-543
Agliullin T.A., Anfinogentov V.I., Misbakhov R.Sh., Morozov O.G., Sakhabutdinov A.Zh. // Proceed. Telecomm. Univers. 2020. V. 6. P. 6. https://doi.org/10.31854/1813-324X-2020-6-1-6-13
Morozov O., Sakhabutdinov A., Anfinogentov V., Misbakhov R., Kuznetsov A., Agliullin T. // Sensors 2020. V. 20. P. 2693. https://doi.org/10.3390/s20092693
Сахабутдинов А.Ж., Нуреев И.И., Морозов О.Г. // Физика волновых процессов и радиотехнические системы. 2015. Т. 18. № 3–2. С. 98.
Anfinogentov V., Karimov K., Kuznetsov A., Morozov O.G., Nureev I., Sakhabutdinov A., Lipatnikov K, Hussein S.M.R.H., Ali M.H. // Sensors 2021. V. 21. P. 2817. https://doi.org/10.3390/s21082817