Comparative Analysis of Signals Restoration by Different Kinds of Approximation
The comparative analysis of continuous signals restoration by different kinds of approximation is performed. The software product, allowing to define optimal method of different original signals restoration by Lagrange polynomial, Kotelnikov interpolation series, linear and cubic splines, Haar wavel...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Anhalt University of Applied Sciences
2015-03-01
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| Series: | Proceedings of the International Conference on Applied Innovations in IT |
| Subjects: | |
| Online Access: | https://icaiit.org/paper.php?paper=3rd_ICAIIT/6 |
| _version_ | 1797803471128231936 |
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| author | Irina Strelkovskaya Olena Lysiuk Roman Zolotukhin |
| author_facet | Irina Strelkovskaya Olena Lysiuk Roman Zolotukhin |
| author_sort | Irina Strelkovskaya |
| collection | DOAJ |
| description | The comparative analysis of continuous signals restoration by different kinds of approximation is performed. The software product, allowing to define optimal method of different original signals restoration by Lagrange polynomial, Kotelnikov interpolation series, linear and cubic splines, Haar wavelet and Kotelnikov-Shannon wavelet based on criterion of minimum value of mean-square deviation is proposed. Practical recommendations on the selection of approximation function for different class of signals are obtained. |
| first_indexed | 2024-03-13T05:22:19Z |
| format | Article |
| id | doaj.art-7b1a3ec49a8f4692952818787b6832e6 |
| institution | Directory Open Access Journal |
| issn | 2199-8876 |
| language | English |
| last_indexed | 2024-03-13T05:22:19Z |
| publishDate | 2015-03-01 |
| publisher | Anhalt University of Applied Sciences |
| record_format | Article |
| series | Proceedings of the International Conference on Applied Innovations in IT |
| spelling | doaj.art-7b1a3ec49a8f4692952818787b6832e62023-06-15T11:48:43ZengAnhalt University of Applied SciencesProceedings of the International Conference on Applied Innovations in IT2199-88762015-03-0131293510.13142/kt10003.06Comparative Analysis of Signals Restoration by Different Kinds of ApproximationIrina Strelkovskaya0Olena Lysiuk1Roman Zolotukhin2https://orcid.org/0000-0002-9705-0666Odessa National A.S. Popov Academy of Telecommunications – Institute of Infocommunications and Software Engineering Kuznechnaya Str, 1, 65029, Odessa, Ukraine Odessa National A.S. Popov Academy of Telecommunications – Institute of Infocommunications and Software Engineering Kuznechnaya Str, 1, 65029, Odessa, Ukraine Odessa National A.S. Popov Academy of Telecommunications – Institute of Infocommunications and Software Engineering Kuznechnaya Str, 1, 65029, Odessa, Ukraine The comparative analysis of continuous signals restoration by different kinds of approximation is performed. The software product, allowing to define optimal method of different original signals restoration by Lagrange polynomial, Kotelnikov interpolation series, linear and cubic splines, Haar wavelet and Kotelnikov-Shannon wavelet based on criterion of minimum value of mean-square deviation is proposed. Practical recommendations on the selection of approximation function for different class of signals are obtained.https://icaiit.org/paper.php?paper=3rd_ICAIIT/6restorationsignalapproximationkotelnikov seriesspline functionswavelet functionscubic splinedeviationsoftware productmean-square deviation |
| spellingShingle | Irina Strelkovskaya Olena Lysiuk Roman Zolotukhin Comparative Analysis of Signals Restoration by Different Kinds of Approximation Proceedings of the International Conference on Applied Innovations in IT restoration signal approximation kotelnikov series spline functions wavelet functions cubic spline deviation software product mean-square deviation |
| title | Comparative Analysis of Signals Restoration by Different Kinds of Approximation |
| title_full | Comparative Analysis of Signals Restoration by Different Kinds of Approximation |
| title_fullStr | Comparative Analysis of Signals Restoration by Different Kinds of Approximation |
| title_full_unstemmed | Comparative Analysis of Signals Restoration by Different Kinds of Approximation |
| title_short | Comparative Analysis of Signals Restoration by Different Kinds of Approximation |
| title_sort | comparative analysis of signals restoration by different kinds of approximation |
| topic | restoration signal approximation kotelnikov series spline functions wavelet functions cubic spline deviation software product mean-square deviation |
| url | https://icaiit.org/paper.php?paper=3rd_ICAIIT/6 |
| work_keys_str_mv | AT irinastrelkovskaya comparativeanalysisofsignalsrestorationbydifferentkindsofapproximation AT olenalysiuk comparativeanalysisofsignalsrestorationbydifferentkindsofapproximation AT romanzolotukhin comparativeanalysisofsignalsrestorationbydifferentkindsofapproximation |