Sampling signals with finite set of apertures
The article discusses the issue of sampling continuous signals using a finite set of apertures. Using the apparatus of generalized functions, an analytical form of sampling is obtained for ideal sampling, for sampling a limited signal and for sampling a signal using a limited set of apertures....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2021-03-01
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| Series: | Омский научный вестник |
| Subjects: | |
| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%20%E2%84%96%201%20(175)%20(%D0%9E%D0%9D%D0%92)/55-58%20%D0%93%D1%83%D0%B6%D0%BE%D0%B2%20%D0%92.%20%D0%98.,%20%D0%9C%D0%B0%D1%80%D1%87%D0%B5%D0%BD%D0%BA%D0%BE%20%D0%98.%20%D0%9E.,%20%D0%A2%D1%80%D1%83%D0%B1%D0%B8%D0%BB%D0%B8%D0%BD%D0%B0%20%D0%95.%20%D0%95.%20%D0%B8%20%D0%B4%D1%80..pdf |
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| _version_ | 1832573945495158784 |
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| author | V. I. Guzhov I. O. Marchenko E. E. Trubilina A. A. Trubilin |
| author_facet | V. I. Guzhov I. O. Marchenko E. E. Trubilina A. A. Trubilin |
| author_sort | V. I. Guzhov |
| collection | DOAJ |
| description | The article discusses the issue of sampling continuous
signals using a finite set of apertures. Using the apparatus
of generalized functions, an analytical form of sampling is
obtained for ideal sampling, for sampling a limited signal
and for sampling a signal using a limited set of apertures.
It is shown that the signal spectrum is the product of the
signal spectrum at ideal sampling by some known factor,
the influence of which can be eliminated. The type of this
factor can be obtained if the type of aperture is known.
The type of analytical expression differs from those known
in the literature on image sampling.
The use of an analytical expression for sampling can be
used to reconstruct the original image from the image
obtained with different sets of apertures. For this it is
necessary to divide the Fourier spectrum of the sampled
image by a factor depending on the selected aperture.
Having received the inverse Fourier transform from it, you
can get the original one. |
| format | Article |
| id | doaj-art-0615e34e569b41d69fc88b01daeb516e |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-0615e34e569b41d69fc88b01daeb516e2025-02-02T01:57:02ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412021-03-011 (175)555810.25206/1813-8225-2021-175-55-58Sampling signals with finite set of aperturesV. I. Guzhov0I. O. Marchenko1E. E. Trubilina2A. A. Trubilin3Novosibirsk State Technical UniversityNovosibirsk State Technical UniversityNovosibirsk State Technical UniversityNovosibirsk State Technical UniversityThe article discusses the issue of sampling continuous signals using a finite set of apertures. Using the apparatus of generalized functions, an analytical form of sampling is obtained for ideal sampling, for sampling a limited signal and for sampling a signal using a limited set of apertures. It is shown that the signal spectrum is the product of the signal spectrum at ideal sampling by some known factor, the influence of which can be eliminated. The type of this factor can be obtained if the type of aperture is known. The type of analytical expression differs from those known in the literature on image sampling. The use of an analytical expression for sampling can be used to reconstruct the original image from the image obtained with different sets of apertures. For this it is necessary to divide the Fourier spectrum of the sampled image by a factor depending on the selected aperture. Having received the inverse Fourier transform from it, you can get the original one.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%20%E2%84%96%201%20(175)%20(%D0%9E%D0%9D%D0%92)/55-58%20%D0%93%D1%83%D0%B6%D0%BE%D0%B2%20%D0%92.%20%D0%98.,%20%D0%9C%D0%B0%D1%80%D1%87%D0%B5%D0%BD%D0%BA%D0%BE%20%D0%98.%20%D0%9E.,%20%D0%A2%D1%80%D1%83%D0%B1%D0%B8%D0%BB%D0%B8%D0%BD%D0%B0%20%D0%95.%20%D0%95.%20%D0%B8%20%D0%B4%D1%80..pdfideal discretizationdirac latticediscretization in real systemsgeneralized functionsfourier transformspectrum |
| spellingShingle | V. I. Guzhov I. O. Marchenko E. E. Trubilina A. A. Trubilin Sampling signals with finite set of apertures Омский научный вестник ideal discretization dirac lattice discretization in real systems generalized functions fourier transform spectrum |
| title | Sampling signals with finite set of apertures |
| title_full | Sampling signals with finite set of apertures |
| title_fullStr | Sampling signals with finite set of apertures |
| title_full_unstemmed | Sampling signals with finite set of apertures |
| title_short | Sampling signals with finite set of apertures |
| title_sort | sampling signals with finite set of apertures |
| topic | ideal discretization dirac lattice discretization in real systems generalized functions fourier transform spectrum |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%20%E2%84%96%201%20(175)%20(%D0%9E%D0%9D%D0%92)/55-58%20%D0%93%D1%83%D0%B6%D0%BE%D0%B2%20%D0%92.%20%D0%98.,%20%D0%9C%D0%B0%D1%80%D1%87%D0%B5%D0%BD%D0%BA%D0%BE%20%D0%98.%20%D0%9E.,%20%D0%A2%D1%80%D1%83%D0%B1%D0%B8%D0%BB%D0%B8%D0%BD%D0%B0%20%D0%95.%20%D0%95.%20%D0%B8%20%D0%B4%D1%80..pdf |
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