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    Wyświetlanie 1-15 z 15
    Tytuł:
    $(H_p,L_p)$-type inequalities for the two-dimensional dyadic derivative
    Autorzy:
    Weisz, Ferenc
    Powiązania:
    https://bibliotekanauki.pl/articles/1287322.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Hardy spaces
    p-atom
    interpolation
    Walsh functions
    dyadic derivative
    Opis:
    It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space $H_{p,q}$ to $L_{p,q}$ (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type $(L_1,L_1)$. As a consequence we show that the dyadic integral of a ∞ function $f ∈ L_1$ is dyadically differentiable and its derivative is f a.e.
    Źródło:
    Studia Mathematica; 1996, 120, 3; 271-288
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    General discrepancy estimates II: the Haar function system
    Autorzy:
    Hellekalek, Peter
    Powiązania:
    https://bibliotekanauki.pl/articles/1391591.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    discrepancy
    Walsh functions
    Haar functions
    pseudorandom number generators
    quasi-Monte Carlo methods
    Źródło:
    Acta Arithmetica; 1994, 67, 4; 313-322
    0065-1036
    Pojawia się w:
    Acta Arithmetica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    General discrepancy estimates: the Walsh function system
    Autorzy:
    Hellekalek, Peter
    Powiązania:
    https://bibliotekanauki.pl/articles/1391599.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    discrepancy
    Walsh functions
    Vilenkin-Fourier series
    pseudorandom number generators
    quasi-Monte Carlo methods
    Źródło:
    Acta Arithmetica; 1994, 67, 3; 209-218
    0065-1036
    Pojawia się w:
    Acta Arithmetica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
    Autorzy:
    Weisz, Ferenc
    Powiązania:
    https://bibliotekanauki.pl/articles/1288490.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    martingale and classical Hardy spaces
    p-atom
    atomic decomposition
    Walsh functions
    Hardy-Littlewood inequality
    Opis:
    The martingale Hardy space $H_p([0,1)^2)$ and the classical Hardy space $H_p(^2)$ are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from $H_p$ to $L_p$ (0 < p ≤ 1). As a consequence we obtain strong convergence theorems for the partial sums. The classical Hardy-Littlewood inequality is extended to two-parameter Walsh-Fourier and trigonometric-Fourier coefficients. The dual inequalities are also verified and a Marcinkiewicz-Zygmund type inequality is obtained for BMO spaces.
    Źródło:
    Studia Mathematica; 1995-1996, 117, 2; 173-194
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Applications of Hadamard matrices
    Autorzy:
    Evangelaras, H.
    Koukouvinos, C.
    Seberry, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/307672.pdf
    Data publikacji:
    2003
    Wydawca:
    Instytut Łączności - Państwowy Instytut Badawczy
    Tematy:
    macierz Hadamarda
    Hadamard matrices
    orthogonal sequences
    CDMA spreading codes
    Walsh functions
    optical multiplexing
    Opis:
    We present a number of applications of Hadamard matrices to signal processing, optical multiplexing, error correction coding, and design and analysis of statistics.
    Źródło:
    Journal of Telecommunications and Information Technology; 2003, 2; 3-10
    1509-4553
    1899-8852
    Pojawia się w:
    Journal of Telecommunications and Information Technology
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximation and Prediction of the Wind Speed Change Function
    Autorzy:
    Klen, K.
    Zhuikov, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/410602.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    distributed generation
    wind generator
    Heisenberg’s uncertainty principle
    linear approximation
    Walsh functions
    regression analysis
    Opis:
    In the article the features of energy summation from two wind generators, located at a certain distance from each other, are considered. The method of calculating the correlation function between the wind flow speed change functions in the direction of wind distribution is presented. The formulas for describing the fluctuation components of energy at the output of the wind generator are given for two cases: when the phases of the fluctuations of the wind flow on two wind generators are the same and when the fluctuations of the wind flow are in the antiphases. It is shown that to increase the energy level that can be taken from the wind power plant it is necessary to control the phase shift between the energy fluctuations at the output of the wind generators and use the energy of the storages; and to use linear approximations to approximate the wind speed change function. Under the condition of a linear change of the internal resistance of the wind generator in time, it is advisable to introduce the wind speed change function with linear approximations. The system of orthonormal linear functions based on Walsh functions is given. A table with formulas and graphs describing the first 8 functions, which are arranged in order of increasing the number of their sign alternating on the interval of functions definition, is presented. The result of the approximation of the wind speed change function with a system of 8 linear functions based on Walsh functions is shown. Decomposition coefficients, mean-square and average relative approximation errors for such approximation are calculated. In order to find the parameters of multiple linear regression the method of least squares is applied. The regression equation in matrix form is given. An example of application of linear regression prediction method to simple functions is shown. The restoration result for wind speed change function is shown. Decomposition coefficients, mean-square and average relative approximation errors for restoration of wind speed change function with linear regression method are calculated.
    Źródło:
    Present Problems of Power System Control; 2018, 9; 35-46
    2084-2201
    Pojawia się w:
    Present Problems of Power System Control
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Identity principles for Bernstein quasianalytic functions
    Autorzy:
    Pleśniak, Wiesław
    Powiązania:
    https://bibliotekanauki.pl/articles/744937.pdf
    Data publikacji:
    2013
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Bernstein quasianalytic functions, Bernstein-Walsh inequality, Siciak extremal function, Zakharyuta-Siciak theorem, Bedford-Taylor pluripotential theory
    Opis:
    We prove an identity principle for Bernstein quasianalytic functions on plane continua and study its extensions to the multivariate case.
    Źródło:
    Commentationes Mathematicae; 2013, 53, 2
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinearity of the round function
    Autorzy:
    Kontak, M.
    Szmidt, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839189.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Boolean functions
    substitution boxes
    Walsh transform
    linear cryptanalysis
    TGR algorithm
    Opis:
    In the paper we present the results which enable to calculate the nonlinearity of the round function with quite large dimensions, e.g. 32 x 32 bits, which are used in some block ciphers. It can be used to estimate resistance of these ciphers against linear cryptanalysis. We give the application to linear cryptanalysis of the TGR block cipher.
    Źródło:
    Control and Cybernetics; 2007, 36, 4; 1037-1044
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Walsh-chirp sequences for wireless applications
    Autorzy:
    Wysocki, B. J.
    Wysocki, T. A.
    Zepernick, H.-J.
    Powiązania:
    https://bibliotekanauki.pl/articles/309560.pdf
    Data publikacji:
    2001
    Wydawca:
    Instytut Łączności - Państwowy Instytut Badawczy
    Tematy:
    spread spectrum communications
    polyphase spreading sequences
    multi-access interference
    Walsh sequences
    aperiodic correlation functions
    Opis:
    This paper deals with a new method to design polyphase spreading sequences for DS CDMA wireless applications. The method is based on weighting symbols of the orthogonal Walsh sequences by the complex factors being symbols of baseband chirp sequences. The resulting sequences possess good aperiodic correlation properties, while maintaining the orthogonality. Because of the parametric design, the sequences can be optimized to achieve desired characteristics.
    Źródło:
    Journal of Telecommunications and Information Technology; 2001, 3; 24-28
    1509-4553
    1899-8852
    Pojawia się w:
    Journal of Telecommunications and Information Technology
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Spectral Test of the Boolean Function Linearity
    Autorzy:
    Porwik, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908085.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    informatyka
    Walsh coefficients
    coefficient distribution
    Boolean function
    bent functions
    linearity measure of a Boolean function
    Opis:
    The paper discusses the problem of recognizing the Boolean function linearity. A spectral method of the analysis of Boolean functions using the Walsh transform is described. Linearity and nonlinearity play important roles in the design of digital circuits. The analysis of the distribution of spectral coefficients allows us to determine various combinatorial properties of Boolean functions, such as redundancy, monotonicity, self-duality, correcting capability, etc., which seems more difficult be performed by means of other methods. In particular, the basic synthesis method described in the paper allows us to compute the spectral coefficients in an iterative manner. The method can be easily used in investigations of large Boolean functions (of many variables), which seems very attractive for modern digital technologies. Experimental results demonstrate the efficiency of the approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 567-575
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Efficient Calculation of the Reed-Muller Form by Means of the Walsh Transform
    Autorzy:
    Porwik, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908505.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    informatyka
    Reed-Muller coefficients
    Walsh coefficients
    coefficient distribution
    Boolean function
    synthesis of Boolean functions
    Opis:
    The paper describes a spectral method for combinational logic synthesis using the Walsh transform and the Reed-Muller form. A new algorithm is presented that allows us to obtain the mixed polarity Reed-Muller expansion of Boolean functions. The most popular minimisation (sub-minimisation) criterion of the Reed-Muller form is obtained by the exhaustive search of all the polarity vectors. This paper presents a non-exhaustive method for Reed-Muller expansions. The new method allows us to build the Reed-Muller form based on the analysis of Walsh-Hadamard coefficients. The presented method has much less complexity than the procedures which have been applied until now. Both the transforms and the presented Walsh-Hadamard spectral characterization of the Reed-Muller expansion are compared. An analysis of the properties of the spectra obtained from these transforms is made.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 571-579
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Polynomial approximation of regular functions of a quaternionic variable
    Autorzy:
    Szczepański, Jerzy
    Powiązania:
    https://bibliotekanauki.pl/articles/29521112.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Tarnowska
    Tematy:
    quaternionic regular functions
    polynomial approximation
    Bernstein-Walsh-Siciak theorem
    Bernstein-Markov condition
    polynomial extremal function
    Bernstein-Walsh inequality
    czwartorzędowe funkcje regularne
    aproksymacja wielomianowa
    twierdzenie Bernsteina-Walsha-Siciaka
    warunek Bernsteina-Markowa
    funkcja ekstremalna wielomianu
    nierówność Bernsteina-Walsha
    Opis:
    We consider Bernstein-Walsh-Siciak-type theorems on the polynomial approximation in the case of regular functions of one quaternionic variable and their applications to the uniform approximation and approximation in $ L^p $ norms with respect to measures satisfying the Bernstein-Markov condition.
    Źródło:
    Science, Technology and Innovation; 2022, 16, 3-4; 28-41
    2544-9125
    Pojawia się w:
    Science, Technology and Innovation
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Construction of Generalized Rademacher Functions in Terms of Ternary Logic : Solving the Problem of Visibility of Using Galois Fields for Digital Signal Processing
    Autorzy:
    Vitulyova, Elizaveta S.
    Matrassulova, Dinara K.
    Suleimenov, Ibragim E.
    Powiązania:
    https://bibliotekanauki.pl/articles/2055235.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    digital signal processing
    non-binary Galois fields
    fourier transform
    rademacher functions
    walsh function
    multivalued logic
    visibility problem
    algebraic extensions
    ternary representation of number
    Opis:
    Generalized Rademacher functions, constructed as a sequence of elements of Galois fields are intended to find the spectral representation of signals with levels. These functions form a complete basis on the interval corresponding to -1 discrete time intervals and for passing into the classical Rademacher functions. The advantage of such spectra obtained using Galois Fields Fourier Transform is that the range of variation of the spectrum amplitudes remains the same as the range of variation of the original signal, which is modeled on discrete time functions taking values in the Galois field.
    Źródło:
    International Journal of Electronics and Telecommunications; 2022, 68, 2; 237--244
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Efficient spectral method of identification of linear Boolean function
    Autorzy:
    Porwik, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970438.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    linear Boolean function
    Walsh coefficients
    coefficients distribution
    incompletely defined Boolean functions
    współczynnik Walsha
    rozkład współczynników
    niekompletnie zdefiniowana funkcja Boole'a
    liniowa funkcja Boole'a
    Opis:
    This paper discusses a problem of recognition of the Boolean function's linearity. The article describes the spectral method of analysis of incompletely specified Boolean functions using the Walsh Transform. The linearity and nonlinearity play an important role in design of digital circuits. The analysis of the spectral coefficients' distribution allows to determine the various combinatorial properties of the Boolean functions: redundancy, monotonicity, self-duality, correcting capability, etc. which seems to be more difficult to obtain by means of other methods. In particular, the distribution of spectral coefficients allows us to determine whether Boolean function is linear. The method described in the paper can be easily used in investigations of large Boolean functions (of many variables), what seems to be very attractive for modern digital technologies. Experimental results demonstrate the efficiency of the approach.
    Źródło:
    Control and Cybernetics; 2004, 33, 4; 663-678
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the uniform convergence and L¹-convergence of double Walsh-Fourier series
    Autorzy:
    Móricz, Ferenc
    Powiązania:
    https://bibliotekanauki.pl/articles/1293178.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Walsh-Paley system
    W-continuity
    moduli of continuity and smoothness
    bounded variation in the sense of Hardy and Krause
    generalized bounded variation
    complementary functions in the sense of W. H. Young
    rectangular partial sum
    Dirichlet kernel
    convergence in $L^p$-norm
    uniform convergence Salem's test
    Dini-Lipschitz test
    Dirichlet-Jordan test
    Opis:
    In 1970 C. W. Onneweer formulated a sufficient condition for a periodic W-continuous function to have a Walsh-Fourier series which converges uniformly to the function. In this paper we extend his results from single to double Walsh-Fourier series in a more general setting. We study the convergence of rectangular partial sums in $L^p$-norm for some 1 ≤ p ≤ ∞ over the unit square [0,1) × [0,1). In case p = ∞, by $L^p$ we mean $C_W$, the collection of uniformly W-continuous functions f(x, y), endowed with the supremum norm. As special cases, we obtain the extensions of the Dini-Lipschitz test and the Dirichlet-Jordan test for double Walsh-Fourier series.
    Źródło:
    Studia Mathematica; 1992, 102, 3; 225-237
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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