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    Wyświetlanie 1-3 z 3
    Tytuł:
    2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix
    Autorzy:
    Wawryn, Krzysztof
    Poczekajło, Paweł
    Powiązania:
    https://bibliotekanauki.pl/articles/24988510.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    lossless system
    paraunitary transfer function matrix
    FIR filter
    embedding method
    Opis:
    A synthesis method for designing two-dimensional lossless finite impulse response (FIR) filters for various digital signal processing tasks is proposed. The synthesis method is based on using a 2-D embedding approach to obtain the paraunitary transfer function matrix of the lossless FIR filter. The elements of the paraunitary transfer function matrix are the transfer function of a given lossy FIR structure and the transfer functions for its complementary structures. The embedding method is used to design complementary FIR filter structures for several known lossy FIR filters. The lossless FIR filter matrix obtained in this article has a size of 3 × 1 and satisfies the paraunitary conditions. The conditions are described by a set of nonlinear equations. A modified Newton method is used to solve this set of equations. The proposed design method is used to determine the lossless structures of two-dimensional FIR filters for various digital processing tasks.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 4; 673--686
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Constrained spectral clustering via multi-layer graph embeddings on a Grassmann manifold
    Autorzy:
    Trokicić, Aleksandar
    Todorović, Branimir
    Powiązania:
    https://bibliotekanauki.pl/articles/329780.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    spectral clustering
    constrained clustering
    multilayer graph
    Grassmann manifold
    Nyström method
    Laplacian matrix
    grupowanie widmowe
    graf wielowarstwowy
    metoda Nyströma
    macierz Laplaciana
    Opis:
    We present two algorithms in which constrained spectral clustering is implemented as unconstrained spectral clustering on a multi-layer graph where constraints are represented as graph layers. By using the Nystrom approximation in one of the algorithms, we obtain time and memory complexities which are linear in the number of data points regardless of the number of constraints. Our algorithms achieve superior or comparative accuracy on real world data sets, compared with the existing state-of-the-art solutions. However, the complexity of these algorithms is squared with the number of vertices, while our technique, based on the Nyström approximation method, has linear time complexity. The proposed algorithms efficiently use both soft and hard constraints since the time complexity of the algorithms does not depend on the size of the set of constraints.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 1; 125-137
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Decentralized static output feedback controller design for linear interconnected systems
    Autorzy:
    Fadhilah, Helisyah Nur
    Adzkiya, Dieky
    Arif, Didik Khusnul
    Zhai, Guisheng
    Mardlijah
    Powiązania:
    https://bibliotekanauki.pl/articles/2201019.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    output feedback
    decentralized controller
    homotopy method
    interconnected system
    matrix inequality
    sprzężenie zwrotne
    kontroler zdecentralizowany
    metoda homotopii
    system połączony
    nierówność macierzowa
    Opis:
    Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 1; 83--96
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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