Zobrazeno 1 - 10
of 423
pro vyhledávání: '"Dokuchaev, Nikolai"'
Autor:
Dokuchaev, Nikolai
The paper establishes an analog Whittaker-Shannon-Kotelnikov sampling theorem with with fast decreasing coefficient, as well as a new modification of the corresponding interpolation formula applicable for general type non-vanishing unbounded continuo
Externí odkaz:
http://arxiv.org/abs/2410.03667
Autor:
Dokuchaev, Nikolai
The paper establishes an analog Whittaker-Shannon-Kotelnikov sampling theorem with fast decreasing coefficient, as well as a new modification of the corresponding interpolation formula applicable for general type non-vanishing bounded continuous sign
Externí odkaz:
http://arxiv.org/abs/2405.10007
Autor:
Dokuchaev, Nikolai
The paper studies spectral representation as well as predictability and recoverability problems for non-vanishing unbounded continuous time signals, i.e., for signals that do not necessarily bounded at $\pm\infty$. The notions of transfer functions,
Externí odkaz:
http://arxiv.org/abs/2405.05566
Autor:
Bujnáková, Dominika, Lansink, Gerhardus M. J., Abramov, Alexei V., Bulyonkova, Tatiana, Dokuchaev, Nikolai E., Domanov, Trofim, Dvornikov, Mikhail G., Graphodatsky, Alexander, Karabanina, Ekaterina, Kliver, Sergei, Korolev, Andrey N., Kozhechkin, Vladimir V., Litvinov, Yuri N., Mamaev, Nikolay, Monakhov, Vladimir G., Nanova, Olga, Okhlopkov, Innokentiy, Saveljev, Alexander P., Schinov, Anton, Shiriaeva, Elena, Sidorov, Mikhail, Tirronen, Konstantin F., Zakharov, Evgenii S., Zakharova, Nadezhda N., Aspi, Jouni, Kvist, Laura
Publikováno v:
Diversity and Distributions, 2024 Jul 01. 30(7), 1-18.
Externí odkaz:
https://www.jstor.org/stable/48777287
Autor:
Dokuchaev, Nikolai
Publikováno v:
Problems of Information Transmission, 2024, iss. 2. pp. 113 - 126
The paper studies spectral representation as well as predictability and recoverability problems for non-vanishing discrete time signals from $\ell_\infty$, i.e. for bounded discrete time signals, including signals that do not vanish at $\pm\infty$. T
Externí odkaz:
http://arxiv.org/abs/2310.10316
Autor:
Dokuchaev, Nikolai
Publikováno v:
Problems of Information Transmission (2023) v. 59, iss 2, pp. 99--114
The paper presents linear predictors and causal filters for discrete time signals featuring some different kinds of spectrum degeneracy. These predictors and filters are based on approximation of ideal non-causal transfer functions by causal transfer
Externí odkaz:
http://arxiv.org/abs/2302.14255
Autor:
Dokuchaev, Nikolai
Publikováno v:
Problems of Information Transmission, V. 58, iss. 4, pp. 372-381, 2022
The paper presents linear integral predictors for continuous time high-frequency signals with a a finite spectrum gap. The predictors are based on approximation of a complex valued periodic exponential (complex sinusoid) by rational polynomials.
Externí odkaz:
http://arxiv.org/abs/2207.11124
Autor:
Dokuchaev, Nikolai
The paper studies completeness of the polynomials in weighted $L_p$-spaces on half line. It is shown that the completeness of polynomials does not hold for a wide class of weights, including the weights $\exp(- r t^q)$ with $r>0$ and $q\in (0,1)$.
Externí odkaz:
http://arxiv.org/abs/2005.09425