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Wyświetlanie 1-15 z 123
Tytuł:
*-g-frames in tensor products of Hilbert C*-modules
Autorzy:
Rossafi, Mohamed
Kabbaj, Samir
Powiązania:
https://bibliotekanauki.pl/articles/744687.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
g-frame
*-g-frame
C*-algebra
Hilbert C*-modules
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2018, 17
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A general class of McKean-Vlasov stochastic evolution equations driven by Brownian motion and Lèvy process and controlled by Lèvy measure
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729570.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
McKean-Vlasov stochastic differential equation
Hilbert spaces
existence of optimal controls
Opis:
In this paper we consider McKean-Vlasov stochastic evolution equations on Hilbert spaces driven by Brownian motion and L`evy process and controlled by L`evy measures. We prove existence and uniqueness of solutions and regularity properties thereof. We consider weak topology on the space of bounded Le´vy measures on infinite dimensional Hilbert space and prove continuous dependence of solutions with respect to the Le´vy measure. Then considering a certain class of Le´vy measures on infinite as well as finite dimensional Hilbert spaces, as relaxed controls, we prove existence of optimal controls for Bolza problem and some simple mass transport problems
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 2; 181-206
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Hilbert cube compactification of the space of retractions of the interval
Autorzy:
Uehara, Shigenori
Powiązania:
https://bibliotekanauki.pl/articles/966101.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
upper semi-continuous multi-valued function
the hyperspace of non-empty compact sets
the Hausdorff metric
the pseudo-interior
the Hilbert cube
The space of retractions
Źródło:
Colloquium Mathematicum; 1998, 78, 1; 119-122
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Hilbert Transform Based Algorithm for Detection of a Complex Envelope of a Power Grid Signals : an Implementation
Autorzy:
Wetula, A.
Powiązania:
https://bibliotekanauki.pl/articles/262588.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
Tematy:
power quality
measurement
Hilbert transformation
implementation
DS
Opis:
The paper presents an algorithm for detection of a complex envelope of power grid signals. The algorithm is based on a Hilbert transform. It was prepared for an analysis of a lowfrequency disturbances, but can also be used as a compex envelope source for other applications. An implementation of the algorithm in a digital signal processor was made to proof an ability of a realtime operation. Analyses with various numerical representations and input signal quantization were done. Execution times on a DSP were measured. Tests proved that the presented algorithm is able to analyze power grid signals in a real-time with satisfying performance and uncertainty.
Źródło:
Electrical Power Quality and Utilisation. Journal; 2008, 14, 2; 13-18
1896-4672
Pojawia się w:
Electrical Power Quality and Utilisation. Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new method for solving ill-conditioned linear systems
Autorzy:
Soleymani, F.
Powiązania:
https://bibliotekanauki.pl/articles/256033.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
matrix inversion
linear systems
Hilbert matrix
ill-conditioned
approximate inverse
Opis:
An accurate numerical method is established for matrix inversion. It is shown theoretically that the scheme possesses the high order of convergence of seven. Subsequently, the method is taken into account for solving linear systems of equations. The accuracy of the contributed iterative method is clarified on solving numerical examples when the coefficient matrices are ill-conditioned. All of the computations are performed on a PC using several programs written in MATHEMATICA 7.
Źródło:
Opuscula Mathematica; 2013, 33, 2; 337-344
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on inductive limit model of Bargmann space of infinite order
Autorzy:
Stochel, J.
Powiązania:
https://bibliotekanauki.pl/articles/255113.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
Bargmann space
creation operator
annihilation operator
inductive limit
Opis:
It is shown that the generalized creation and annihilation operators on Bargmann space of infinite order in a direction a = (a1, a2, ...) mem l2 are inductive limits of the creation and annihilation operator acting on Bargmann space on n-th order.
Źródło:
Opuscula Mathematica; 2005, 25, 1; 139-148
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A quadratic optimal control problem for a class of linear discrete distributed systems
Autorzy:
Rachik, M.
Lhous, M.
El Kahlaoui, O.
Labriji, E.
Jourhmane, H.
Powiązania:
https://bibliotekanauki.pl/articles/908382.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dyskretny
rozproszony system komputerowy
system liniowy
sterowanie optymalne
discrete distributed system
Hilbert uniqueness method
linear system
optimal control
Opis:
A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 431-440
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A relaxation theorem for partially observed stochastic control on Hilbert space
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729417.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
partially observed control
infinite dimensional Hilbert space
relaxed controls
Zakai equation
Opis:
In this paper, we present a result on relaxability of partially observed control problems for infinite dimensional stochastic systems in a Hilbert space. This is motivated by the fact that measure valued controls, also known as relaxed controls, are difficult to construct practically and so one must inquire if it is possible to approximate the solutions corresponding to measure valued controls by those corresponding to ordinary controls. Our main result is the relaxation theorem which states that the set of solutions corresponding to ordinary controls is weakly dense in the set of solutions corresponding to relaxed controls. This is presented in Theorem 5.3 after giving some existence results on optimal controls for the infinite dimensional Zakai equation used for its proof.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 295-314
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A remark on generalized commutation relation and subnormality
Autorzy:
Stochel, J.B.
Powiązania:
https://bibliotekanauki.pl/articles/254981.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
generalized commutation relations
creation operator
analytic vectors
Opis:
Tillmann [11] proved that every operator A which fulfils the canonical commutation relation A*A - AA* = Id is an orthogonal sum of canonical creation operators. We extend this result for operators which fulfil generalized commutation relation A*A - AA* = E², where EA = AE. In addition, some inequalities which are helpful in describing analytic vectors of operators A*A, where A fulfils the generalized commutation relation, are established.
Źródło:
Opuscula Mathematica; 2006, 26, 1; 151-160
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sampling theory for infinite weighted graphs
Autorzy:
Jorgensen, P. E. T.
Powiązania:
https://bibliotekanauki.pl/articles/254989.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
weighted graph
Hilbert space
Laplace operator
sampling
Shannon
white noise
Wiener transform
interpolation
Opis:
We prove two sampling theorems for infinite (countable discrete) weighted graphs G; one example being "large grids of resistors" i.e., networks and systems of resistors. We show that there is natural ambient continuum X containing G, and there are Hilbert spaces of functions on X that allow interpolation by sampling values of the functions restricted only on the vertices in G. We sample functions on X from their discrete values picked in the vertex-subset G. We prove two theorems that allow for such realistic ambient spaces X for a fixed graph G, and for interpolation kernels in function Hilbert spaces on X, sampling only from points in the subset of vertices in G. A continuum is often not apparent at the outset from the given graph G. We will solve this problem with the use of ideas from stochastic integration.
Źródło:
Opuscula Mathematica; 2011, 31, 2; 209-236
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Amplitude and Frequency Modulation in Speaker Recognition Systems
Autorzy:
Ciota, Z.
Powiązania:
https://bibliotekanauki.pl/articles/397977.pdf
Data publikacji:
2012
Wydawca:
Politechnika Łódzka. Wydział Mikroelektroniki i Informatyki
Tematy:
modulacja AM-FM
filtr Gabora
transformata Hilberta
biometryka głosu
spektrogram
przetwarzanie mowy
AM-FM modulation
Gabor filters
Hilbert transform
speaker recognition system
spectrogram analysis
speech processing
Opis:
The paper presents a review of the nowadays methods of voice vector extraction, applied in such speech processing, like person identification and emotion recognition. A special attention was held on mixed time-frequency analysis based on temporary frequency approach. The methods of calculation of time - frequency voice characterization were also described. The most important building blocks of identification and recognition of speakers have been presented. The characterization of feature vectors suitable for identification and verification in microcomputer systems was described. Components and appropriate method of speech identification based on the long-term spectra vectors were discussed.
Źródło:
International Journal of Microelectronics and Computer Science; 2012, 3, 2; 41-44
2080-8755
2353-9607
Pojawia się w:
International Journal of Microelectronics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Amplitude demodulation of interferometric signals with a 2D Hilbert transform
Autorzy:
Wielgus, M.
Powiązania:
https://bibliotekanauki.pl/articles/115674.pdf
Data publikacji:
2011
Wydawca:
Fundacja na Rzecz Młodych Naukowców
Tematy:
Hilbert transform
image analysis
Fourier transform
demodulation
Opis:
The Hilbert transform and the analytic signal are widely known tools of 1D signal pro cessing. They are useful for many applications, such as AM-FM demodulation or edge detection. Developing the multidimensional generalization of this method is particularly important for the purposes of image processing. Unfortunately, it is not obvious how to generalize the transform, keeping its essential properties. In this paper I survey some ideas: basic approaches with spectral masks imitating 1D signum function, the spiral phase operator method and the method involving quaternionic Fourier transform. I present and compare how these algorithms are useful for the amplitude demodulation of typical interferometric images.
Źródło:
Challenges of Modern Technology; 2011, 2, 1; 8-11
2082-2863
2353-4419
Pojawia się w:
Challenges of Modern Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An application of Hilbert-Huang transform and principal component analysis for diagnostics of cylindrical plunge grinding process
Autorzy:
Lajmert, P.
Powiązania:
https://bibliotekanauki.pl/articles/100119.pdf
Data publikacji:
2010
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
diagnostics
plunge grinding
Hilbert-Huang transform
Opis:
This paper presents a sensor based diagnostic system for a cylindrical plunge grinding process which ensures a reliable process state and tool wear identification. A new signal processing technique, i.e. Hilbert-Huang transform (HHT) was evaluated for this purpose based on the vibration and acoustic emission signal measurements. Numerical and experimental studies have demonstrated that the process state and tool wear may be effectivel detected through a statistical analysis of the time-dependent amplitudes and instantaneous frequencies resulting from the HHT. A principal component analysis was used to diagnose different grinding process states.
Źródło:
Journal of Machine Engineering; 2010, 10, 1; 39-49
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components
Autorzy:
Gil’, Michael
Powiązania:
https://bibliotekanauki.pl/articles/29519485.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
linear operators
eigenvalues
Opis:
Let $ A $ be a bounded linear operator in a complex separable Hilbert space, $ A^∗ $ be its adjoint one and $ A_I := (A − A^∗)//(2i) $. Assuming that $A_I $ is a Hilbert-Schmidt operator, we investigate perturbations of the imaginary parts of the eigenvalues of $ A $. Our results are formulated in terms of the “extended” eigenvalue sets in the sense introduced by T. Kato. Besides, we refine the classical Weyl inequality $ \Sigma_{k=1}^\infty (Im \lambda_k (A))^2 ≤ N_2^2 (A_I) $, where $ λk(A) (k = 1, 2, . . .) $ are the eigenvalues of $ A $ and $ N_2(·) $ is the Hilbert-Schmidt norm. In addition, we discuss applications of our results to the Jacobi operators.
Źródło:
Opuscula Mathematica; 2024, 44, 2; 241-248
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An integrative approach to analyze EEG signals and human brain dynamics in different cognitive states
Autorzy:
Davis, J. J.
Lin, C. -T.
Gillett, G.
Kozma, R.
Powiązania:
https://bibliotekanauki.pl/articles/1396729.pdf
Data publikacji:
2017
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
cognition
EEG
analytic amplitude
analytic phase
Hilbert transform
visual cortex
consciousness
meditation
emotions
awareness
intentionality
spiritual values
Opis:
Electroencephalograph (EEG) data provide insight into the interconnections and relationships between various cognitive states and their corresponding brain dynamics, by demonstrating dynamic connections between brain regions at different frequency bands. While sensory input tends to stimulate neural activity in different frequency bands, peaceful states of being and self-induced meditation tend to produce activity in the mid-range (Alpha). These studies were conducted with the aim of: (a) testing different equipment in order to assess two (2) different EEG technologies together with their benefits and limitations and (b) having an initial impression of different brain states associated with different experimental modalities and tasks, by analyzing the spatial and temporal power spectrum and applying our movie making methodology to engage in qualitative exploration via the art of encephalography. This study complements our previous study of measuring multichannel EEG brain dynamics using MINDO48 equipment associated with three experimental modalities measured both in the laboratory and the natural environment. Together with Hilbert analysis, we conjecture, the results will provide us with the tools to engage in more complex brain dynamics and mental states, such as Meditation, Mathematical Audio Lectures, Music Induced Meditation, and Mental Arithmetic Exercises. This paper focuses on open eye and closed eye conditions, as well as meditation states in laboratory conditions. We assess similarities and differences between experimental modalities and their associated brain states as well as differences between the different tools for analysis and equipment.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2017, 7, 4; 287-299
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 123

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