Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors
In the paper, the systematic (bias) error of digital processing of the biharmonic signal of two multiplexed fiber-optic interferometers under spectral interrogation, when the registered spectral transfer function being processed through a discrete Fourier transform has been analyzed. The synthesis o...
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| Format: | Article |
| Language: | English |
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Peter the Great St.Petersburg Polytechnic University
2022-09-01
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| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
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| Online Access: | https://physmath.spbstu.ru/article/2022.57.14/ |
| _version_ | 1811204923504721920 |
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| author | Markvart Aleksandr Liokumovich Leonid Ushakov Nikolai |
| author_facet | Markvart Aleksandr Liokumovich Leonid Ushakov Nikolai |
| author_sort | Markvart Aleksandr |
| collection | DOAJ |
| description | In the paper, the systematic (bias) error of digital processing of the biharmonic signal of two multiplexed fiber-optic interferometers under spectral interrogation, when the registered spectral transfer function being processed through a discrete Fourier transform has been analyzed. The synthesis of a special weighted window function was put forward; this made it possible to reduce the systematic errors in determining the frequencies of a polyharmonic signal without a significant increase in the random (noise) error. The effectiveness of this approach was proven through numerical simulation and experimentally by comparison with the error when using standard Dolph – Chebyshev window. The proposed approach can be applied in any problems related to the estimation of frequencies and phases of polyharmonic signals. |
| first_indexed | 2024-04-12T03:21:55Z |
| format | Article |
| id | doaj.art-5fd9037b9381440cae424b6ba0206460 |
| institution | Directory Open Access Journal |
| issn | 2405-7223 |
| language | English |
| last_indexed | 2024-04-12T03:21:55Z |
| publishDate | 2022-09-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj.art-5fd9037b9381440cae424b6ba02064602022-12-22T03:49:52ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232022-09-0115310.18721/JPM.1531420714726Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensorsMarkvart Aleksandr0https://orcid.org/0000-0001-8080-0830Liokumovich Leonid1https://orcid.org/0000-0001-5988-1429Ushakov Nikolai2https://orcid.org/0000-0002-3480-2779Peter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityIn the paper, the systematic (bias) error of digital processing of the biharmonic signal of two multiplexed fiber-optic interferometers under spectral interrogation, when the registered spectral transfer function being processed through a discrete Fourier transform has been analyzed. The synthesis of a special weighted window function was put forward; this made it possible to reduce the systematic errors in determining the frequencies of a polyharmonic signal without a significant increase in the random (noise) error. The effectiveness of this approach was proven through numerical simulation and experimentally by comparison with the error when using standard Dolph – Chebyshev window. The proposed approach can be applied in any problems related to the estimation of frequencies and phases of polyharmonic signals.https://physmath.spbstu.ru/article/2022.57.14/harmonic analysisdiscrete fourier transformmethodological errorwindow functioninterferometer |
| spellingShingle | Markvart Aleksandr Liokumovich Leonid Ushakov Nikolai Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors St. Petersburg Polytechnical University Journal: Physics and Mathematics harmonic analysis discrete fourier transform methodological error window function interferometer |
| title | Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors |
| title_full | Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors |
| title_fullStr | Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors |
| title_full_unstemmed | Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors |
| title_short | Synthesis of window functions for reducing systematic errors of multiplexed fiber-optic sensors |
| title_sort | synthesis of window functions for reducing systematic errors of multiplexed fiber optic sensors |
| topic | harmonic analysis discrete fourier transform methodological error window function interferometer |
| url | https://physmath.spbstu.ru/article/2022.57.14/ |
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