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Theory of frames use to reduce the information loss in signals transmitting

НазваTheory of frames use to reduce the information loss in signals transmitting
Назва англійськоюTheory of frames use to reduce the information loss in signals transmitting
АвториOleksandr Matsiuk
ПринадлежністьTernopil Ivan Puluj National Technical University, Ternopil, Ukraine
Бібліографічний описTheory of frames use to reduce the information loss in signals transmitting / Oleksandr Matsiuk // Scientific Journal of TNTU. — Tern.: TNTU, 2022. — Vol 105. — No 1. — P. 19–28.
Bibliographic description:Matsiuk O. (2022) Theory of frames use to reduce the information loss in signals transmitting. Scientific Journal of TNTU (Tern.), vol 105, no 1, pp. 19–28.
DOI: https://doi.org/10.33108/visnyk_tntu2022.01.019
УДК

004.9

Ключові слова

smart city, information, signal, frame.

The development of «smart city» conception must involve some new mathematical methods
which allow us to reduce any information loss in data transfer in the smart city resource networks. Some possible
use of advanced methods of the theory of frames for these problems has been taken into consideration in the article
under discussion.
ISSN:2522-4433
Перелік літератури
1. Christensen O. An introduction to frames and Riesz bases. Second expanded edition. Birkh¨auser 2016.
2. C. Heil A Basis Theory Primer Birkhäuser, Boston (2010).
3. A. Kamuda and S. Kużel, On description of dual frames, Appl. Comput. Harmon. Anal. 56 (2022).
Р. 351–366.
4. Matsiuk O. (2021) Use of p – adic numbers in urban resource networks data analysis. Scientific Journal of
TNTU (Tern.). Vol 104. No. 4. P. 58–67.

 

References:
1. Christensen O. An introduction to frames and Riesz bases. Second expanded edition. Birkh¨auser 2016.
2. C. Heil A Basis Theory Primer Birkhäuser, Boston (2010).
3. A. Kamuda and S. Kużel, On description of dual frames, Appl. Comput. Harmon. Anal. 56 (2022).
Р. 351–366.
4. Matsiuk O. (2021) Use of p – adic numbers in urban resource networks data analysis. Scientific Journal of
TNTU (Tern.). Vol 104. No. 4. P. 58–67.

 

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