Hi-Accuracy Method for Spectrum Shift Determination
A new hi-accuracy method for slight-shift determination of low-resolution spectra is proposed. The method allows determining a spectrum shift with an accuracy exceeding the spectrum analyzer resolution to more than three orders of magnitude due to the mathematical post-processing. The method is base...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Fibers |
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| Online Access: | https://www.mdpi.com/2079-6439/11/7/60 |
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| author | Nadezhda Pavlycheva Ayna Niyazgulyyewa Airat Sakhabutdinov Vladimir Anfinogentov Oleg Morozov Timur Agliullin Bulat Valeev |
| author_facet | Nadezhda Pavlycheva Ayna Niyazgulyyewa Airat Sakhabutdinov Vladimir Anfinogentov Oleg Morozov Timur Agliullin Bulat Valeev |
| author_sort | Nadezhda Pavlycheva |
| collection | DOAJ |
| description | A new hi-accuracy method for slight-shift determination of low-resolution spectra is proposed. The method allows determining a spectrum shift with an accuracy exceeding the spectrum analyzer resolution to more than three orders of magnitude due to the mathematical post-processing. The method is based on representing the spectrum as a continuous and everywhere differentiable function; expanding it into the Taylor series; approximating all the function derivatives by finite differences of a given order. Thereafter, the spectrum shift is determined using the least-squares method. The method description, its mathematical foundation and the simulation results are given. The advantages of the application of the proposed method are shown. |
| first_indexed | 2024-03-11T01:05:45Z |
| format | Article |
| id | doaj.art-8339035e8c0e439aade2340038fc1318 |
| institution | Directory Open Access Journal |
| issn | 2079-6439 |
| language | English |
| last_indexed | 2024-03-11T01:05:45Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fibers |
| spelling | doaj.art-8339035e8c0e439aade2340038fc13182023-11-18T19:17:13ZengMDPI AGFibers2079-64392023-07-011176010.3390/fib11070060Hi-Accuracy Method for Spectrum Shift DeterminationNadezhda Pavlycheva0Ayna Niyazgulyyewa1Airat Sakhabutdinov2Vladimir Anfinogentov3Oleg Morozov4Timur Agliullin5Bulat Valeev6Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, RussiaDepartment of Radio Communication and Radio Technology Systems, Institute of Telecommunications and Informatics of Turkmenistan, 68 Magtymguly Avenue, Ashgabat 744000, TurkmenistanDepartment of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, RussiaDepartment of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, RussiaDepartment of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, RussiaDepartment of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, RussiaDepartment of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, RussiaA new hi-accuracy method for slight-shift determination of low-resolution spectra is proposed. The method allows determining a spectrum shift with an accuracy exceeding the spectrum analyzer resolution to more than three orders of magnitude due to the mathematical post-processing. The method is based on representing the spectrum as a continuous and everywhere differentiable function; expanding it into the Taylor series; approximating all the function derivatives by finite differences of a given order. Thereafter, the spectrum shift is determined using the least-squares method. The method description, its mathematical foundation and the simulation results are given. The advantages of the application of the proposed method are shown.https://www.mdpi.com/2079-6439/11/7/60mathematical modelingspectrum shift determiningsubpixel spectrum processing methodshigh-precision measurementsdistributed sensor systemsfiber optic sensor systems |
| spellingShingle | Nadezhda Pavlycheva Ayna Niyazgulyyewa Airat Sakhabutdinov Vladimir Anfinogentov Oleg Morozov Timur Agliullin Bulat Valeev Hi-Accuracy Method for Spectrum Shift Determination Fibers mathematical modeling spectrum shift determining subpixel spectrum processing methods high-precision measurements distributed sensor systems fiber optic sensor systems |
| title | Hi-Accuracy Method for Spectrum Shift Determination |
| title_full | Hi-Accuracy Method for Spectrum Shift Determination |
| title_fullStr | Hi-Accuracy Method for Spectrum Shift Determination |
| title_full_unstemmed | Hi-Accuracy Method for Spectrum Shift Determination |
| title_short | Hi-Accuracy Method for Spectrum Shift Determination |
| title_sort | hi accuracy method for spectrum shift determination |
| topic | mathematical modeling spectrum shift determining subpixel spectrum processing methods high-precision measurements distributed sensor systems fiber optic sensor systems |
| url | https://www.mdpi.com/2079-6439/11/7/60 |
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