Standard and singular wavelet analysis
The paper suggests that the use of classical wavelets may be auxiliary in the analysis of a periodic signal. This is because the intuitive interpretation of the wavelet transform is not obvious. It is proposed to consider the Fourier transform as the main tool in applied research of periodic signals...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Belarusian National Technical University
2021-01-01
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| Series: | Системный анализ и прикладная информатика |
| Subjects: | |
| Online Access: | https://sapi.bntu.by/jour/article/view/495 |
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| _version_ | 1849398841805111296 |
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| author | V. M. Romanchak M. A. Hundzina |
| author_facet | V. M. Romanchak M. A. Hundzina |
| author_sort | V. M. Romanchak |
| collection | DOAJ |
| description | The paper suggests that the use of classical wavelets may be auxiliary in the analysis of a periodic signal. This is because the intuitive interpretation of the wavelet transform is not obvious. It is proposed to consider the Fourier transform as the main tool in applied research of periodic signals. An example is provided to support this point of view. To isolate the periodic component of the signal, along with wavelet analysis, it is proposed to perform spectral analysis. To do this, pre-filtering is performed using singular wavelets. This approach can significantly complement classical wavelet analysis. |
| format | Article |
| id | doaj-art-1adac4aa7f0b47e28056d2c133260ecf |
| institution | Kabale University |
| issn | 2309-4923 2414-0481 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Системный анализ и прикладная информатика |
| spelling | doaj-art-1adac4aa7f0b47e28056d2c133260ecf2025-08-20T03:38:30ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812021-01-0104394410.21122/2309-4923-2020-4-39-44371Standard and singular wavelet analysisV. M. Romanchak0M. A. Hundzina1Belarusian National Technical UniversityBelarusian National Technical UniversityThe paper suggests that the use of classical wavelets may be auxiliary in the analysis of a periodic signal. This is because the intuitive interpretation of the wavelet transform is not obvious. It is proposed to consider the Fourier transform as the main tool in applied research of periodic signals. An example is provided to support this point of view. To isolate the periodic component of the signal, along with wavelet analysis, it is proposed to perform spectral analysis. To do this, pre-filtering is performed using singular wavelets. This approach can significantly complement classical wavelet analysis.https://sapi.bntu.by/jour/article/view/495wavelet analysissingular waveletthe number of sunspotswolfram mathematica |
| spellingShingle | V. M. Romanchak M. A. Hundzina Standard and singular wavelet analysis Системный анализ и прикладная информатика wavelet analysis singular wavelet the number of sunspots wolfram mathematica |
| title | Standard and singular wavelet analysis |
| title_full | Standard and singular wavelet analysis |
| title_fullStr | Standard and singular wavelet analysis |
| title_full_unstemmed | Standard and singular wavelet analysis |
| title_short | Standard and singular wavelet analysis |
| title_sort | standard and singular wavelet analysis |
| topic | wavelet analysis singular wavelet the number of sunspots wolfram mathematica |
| url | https://sapi.bntu.by/jour/article/view/495 |
| work_keys_str_mv | AT vmromanchak standardandsingularwaveletanalysis AT mahundzina standardandsingularwaveletanalysis |