Results 11 to 20 of about 91,464 (283)
Sampling discretization and related problems [PDF]
Journal of Complexity, 2022 This survey addresses sampling discretization and its connections with other areas of mathematics. The survey concentrates on sampling discretization of norms of elements of finite-dimensional subspaces. We present here known results on sampling discretization of both integral norms and the uniform norm beginning with classical results and ending with ...
Kashin, B. +3 more
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Sampling Discretization of the Uniform Norm
Constructive Approximation, 2023 Discretization of the uniform norm of functions from a given finite dimensional subspace of continuous functions is studied. We pay special attention to the case of trigonometric polynomials with frequencies from an arbitrary finite set with fixed cardinality.
Kashin, B., Konyagin, S., Temlyakov, V.
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Gaps in Discrete Random Samples [PDF]
Journal of Applied Probability, 2009 Let (Xi)i∈ℕ be a sequence of independent and identically distributed random variables with values in the set ℕ0 of nonnegative integers. Motivated by applications in enumerative combinatorics and analysis of algorithms we investigate the number of gaps and the length of the longest gap in the set {X1,…,Xn} of the first n values. We obtain necessary and
Grübel, Rudolf, Hitczenko, Paweł
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Discrete Sampling and Interpolation: Universal Sampling Sets for Discrete Bandlimited Spaces [PDF]
IEEE Transactions on Information Theory, 2012 We study the problem of interpolating all values of a discrete signal f of length N when ...
Osgood, Brad +2 more
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Discrete-time randomized sampling [PDF]
ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483), 2002 This paper explores the use of randomized sampling in implementing convolution in discrete-time with application to the areas of approximate filtering, low-power filter design, and hardware failure modeling. Three distinct randomized sampling methods are presented and additive error models as well as second-order error statistics are derived for these ...
M.R. Said, A.V. Oppenheim
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On the Reversibility of Discretization
Mathematics, 2020 “Discretization” usually denotes the operation of mapping continuous functions to infinite or finite sequences of discrete values. It may also mean to map the operation itself from one that operates on functions to one that operates on infinite or finite
Jens V. Fischer, Rudolf L. Stens
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Drift estimation for discretely sampled SPDEs [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2020 22 ...
Igor Cialenco +2 more
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PLoS ONE, 2021 PurposeMany studies of MRI radiomics do not include the discretization method used for the analyses, which might indicate that the discretization methods used are considered irrelevant.
Gergő Veres +7 more
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Continuous and discrete dynamical sampling [PDF]
Journal of Mathematical Analysis and Applications, 2021 In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space $\mathcal{H}$. We find necessary and sufficient conditions on a bounded linear operator $A\in\mathcal{B}(\mathcal{H})$ and a set of vectors $\mathcal{G}\subset \mathcal{H}$, in order to obtain that $\{e^{tA}g\}_{g\in\mathcal{G}, t\in[0,\infty)}$
Rocío Díaz Martín +2 more
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Mathematics, 2023 In this article, we investigate the behavior of vehicle platoons operating in a predecessor-following configuration, implemented through sampled-data control systems.
Felipe I. Villenas +2 more
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