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Wyszukujesz frazę "walsh function" wg kryterium: Temat


Wyświetlanie 1-11 z 11
Tytuł:
Automatic "sewing together" of REM-images with the use of Walsh descriptors
Automatyczne "zszywanie" obrazów REM z użyciem wskaźników Walsha
Autorzy:
Melnyk, V. M.
Voloshyn, V. U.
Voloshyna, T. V.
Powiązania:
https://bibliotekanauki.pl/articles/129907.pdf
Data publikacji:
2001
Wydawca:
Stowarzyszenie Geodetów Polskich
Tematy:
obraz REM
wskaźniki Walsha
segmentacja obrazów
funkcja celu
REM image
Walsh descriptors
image segmentation
goal function
Opis:
The article deals with the automatic method of "sewing together" the superimposed REM-images based on the identification of the boundaries of their particularities. The evaluation of a similarity of the form is fulfilled with the use of Walsh descriptors and is used as a key information with a discernment of conjugate areas. The frequency representation of the boundaries allows to determine parameters of optimum transformation of particularities of one image to another. The procedure of identification of an apart from the factor of a similarity of the form, takes into account orientations coherence of the identified areas. The results of a model experiment confirm the effectiveness of a method application.
Źródło:
Archiwum Fotogrametrii, Kartografii i Teledetekcji; 2001, 11; 5-19-5-26
2083-2214
2391-9477
Pojawia się w:
Archiwum Fotogrametrii, Kartografii i Teledetekcji
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:
Dedicated spectral method of Boolean function decomposition
Autorzy:
Porwik, P.
Stanković, R. S.
Powiązania:
https://bibliotekanauki.pl/articles/908408.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
funkcja boolowska
dekompozycja rozłączna
spektrum Walsha
współczynnik autokorelacji
Boolean function
Walsh spectrum
autocorrelation coefficients
disjoint decomposition
Opis:
Spectral methods constitute a useful tool in the analysis and synthesis of Boolean functions, especially in cases when other methods reduce to brute-force search procedures. There is renewed interest in the application of spectral methods in this area, which extends also to the closely connected concept of the autocorrelation function, for which spectral methods provide fast calculation algorithms. This paper discusses the problem of spectral decomposition of Boolean functions using the Walsh transform and autocorrelation characteristics.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 2; 271-278
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:
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:
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 incomplete Boolean functions: prioritizing spectra calculation
Autorzy:
Porwik, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/2175117.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Boolean function
numerical methods
Walsh transform
Opis:
In this paper, a class of linear Boolean functions is analyzed. The Boolean function can be represented as disjoint cubes or in the form of a truth vector. The primary purpose of this analysis is to decide whether an incompletely defined function can be extended to a complete linear form. A simple algorithm for generating all states of this function has been proposed if the Boolean function can have a full representation. The algorithm is beneficial for large functions. The proposed approach can be applied to completely and incompletely defined Boolean functions.
Źródło:
Archives of Control Sciences; 2022, 32, 4; 663--676
1230-2384
Pojawia się w:
Archives of Control Sciences
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:
Polynomial inequalities on algebraic sets
Autorzy:
Baran, M.
Pleśniak, W.
Powiązania:
https://bibliotekanauki.pl/articles/1206008.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Bernstein-Walsh and tangential Markov type inequalities on algebraic sets
pluricomplex Green function
traces of polynomials on algebraic sets
Siciak's extremal function
Opis:
We give an estimate of Siciak's extremal function for compact subsets of algebraic varieties in $ℂ^n$ (resp. $ℝ^n$). As an application we obtain Bernstein-Walsh and tangential Markov type inequalities for (the traces of) polynomials on algebraic sets.
Źródło:
Studia Mathematica; 2000, 141, 3; 209-219
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some classical function systems in separable Orlicz spaces
Autorzy:
Finet, C.
Tkebuchava, G.
Powiązania:
https://bibliotekanauki.pl/articles/1221051.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fourier
Fourier-Walsh series
Paley function
Haar system
separable Orlicz space
Opis:
The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.
Źródło:
Studia Mathematica; 1996, 121, 2; 193-205
0039-3223
Pojawia się w:
Studia Mathematica
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
    Wyświetlanie 1-11 z 11

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