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    Wyświetlanie 1-5 z 5
    Tytuł:
    Application of multiple moving approximation with polynomials in curve smoothing
    Autorzy:
    Pawletko, R.
    Polanowski, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/246390.pdf
    Data publikacji:
    2010
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    multiple moving least-square approximation
    decomposition and separation of disturbances
    Opis:
    The paper has characterized the method of multiple moving least-square approximation with polynomials, known as the Savitzky-Golay filter. This method enables smoothing the measurement series, decomposition and separation of disturbances, generation of derivatives as well as approximate integration of measurement series. The smoothing properties of the method as well as the possibilities of separation and decomposition of disturbances are shown on the examples of treatment of the selected indicator graph. The attention was paid to the need for additional application of special filters in case of abnormal impulse deviations. The examples show that in case of the analyzed curve, the results of smoothing by means of several wave filters from Wavelet Explorer package, are worse than those received with the methods of moving approximation. On the derivatives of smoothened curve by means of wavelet filters, there are significant oscillations, what is typical of the whole-interval approximation with spline functions. One should highlight the high simplicity of algorithms of multiple moving approximation and associated with this, high speed of operation, what particularly predisposes this method of data processing in an on-line mode. The authors presented their own proposals of programs for measurement data processing with the method of multiple moving approximation with polynomials, with the possibility of selection of an approximation polynomial to the fifth degree. The programs were developed in the Excel and Delphi environment.
    Źródło:
    Journal of KONES; 2010, 17, 2; 395-401
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Average course approximation of measured subsidence and inclinations of mining area by smooth splines
    Autorzy:
    Orwat, J.
    Mielimąka, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/91958.pdf
    Data publikacji:
    2017
    Wydawca:
    Główny Instytut Górnictwa
    Tematy:
    impact of underground mining
    subsidence
    inclination
    random scattering
    least square approximation
    smooth spline
    wpływ górnictwa podziemnego
    osiadanie
    nachylenie
    Opis:
    The results of marking average courses of subsidence measured on the points of measuring line no. 1 of the “Budryk” Hard Coal Mine, set approximately perpendicularly to a face run of four consecutively mined longwalls in coal bed 338/2 have been presented in the article. Smooth splines were used to approximate the average course of measured subsidence after subsequent exploitation stages. The minimising of the sum of the squared differences between the average and forecasted subsidence, using J. Bialek's formula, was used as a selection criterion of parameter values of smoothing an approximating function. The parameter values of this formula have been chosen in order to match forecasted subsidence with measured ones. The average values of inclinations have been calculated on the basis of approximated values of observed subsidence. It has been shown that by doing this the average values of extreme measured inclinations can be obtained in almost the same way as extreme observed inclinations. It is not necessary to divide the whole profile of a subsidence basin into parts. The obtained values of variability coefficients of a random scattering for subsidence and inclinations are smaller than their values which occur in the literature.
    Źródło:
    Journal of Sustainable Mining; 2017, 16, 1; 8-13
    2300-1364
    2300-3960
    Pojawia się w:
    Journal of Sustainable Mining
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparison of linear interpolation and arctan approximation of one-dimensional monotonic utility functions based on experimental data
    Autorzy:
    Nikolova, N.
    Tenekedjiev, K.
    Dong, F.
    Hirota, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/969632.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    utility function
    interpolation
    approximation
    weighted least square
    goodness-of-fit
    statistical tests
    Opis:
    Elicitation of utilities is among the most time consuming tasks in decision analysis. We search for ways to shorten this phase without compromising the quality of results. We use the results from an empirical experiment with 104 participants. They elicited 9 inner nodes from their one-dimensional utility function over monetary gains and losses using three elicitation techniques. A specific feature of the results is their interval character, as the elicitators are fuzzy rational individuals. The data is used to construct arctan-approximated and linearly interpolated utilities and to compare the results. We form partial samples with 3, 4 and 5 nodes for each participant and each elicitation method, and again interpolate/approximate the utilities. We introduce goodness-of-fit and deterioration measures to analyze the decrease in quality of the utility function due to reduced data nodes. The analysis, using paired-sample tests, leads to the following conclusions: 1) arctan-approximation is more adequate than linear interpolation over the whole samples; 2) 5 inner nodes are sufficient to construct a satisfactory arctan-approximation; 3) arctan-approximation and linear interpolation are almost equal in quality over the partial samples, but the local risk aversion of the linearly interpolated utility function is of poor quality unlike that of the arctan-approximated utility function.
    Źródło:
    Control and Cybernetics; 2009, 38, 3; 835-861
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Selection of reference plane by the least square fitting methods
    Autorzy:
    Podulka, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/102979.pdf
    Data publikacji:
    2016
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    surface topography
    reference plane
    least-square fitting
    cylinder fitting
    polynomial approximation
    oil pockets
    cylinder liners
    piston skirts
    Opis:
    There are many disadvantages affecting the accuracy of surface topography measurement and analysis. One of them are the errors obtained during data processing. Usually surface topographies of car engine parts are studied after form removal. Many algorithms and procedures were developed and suggested. However, the selection of reference plane with accordance to surface topography measurements of cylindrical elements was not fully recognized. In this paper least square fitting methods (cylinder, polynomial) and commercial filters (Gaussian filter, Gaussian regression filter and robust Gaussian regression filter) for areal form removal were compared and proposed. Three types of surfaces: cylinder liners after plateau-honing, plateau-honed cylinder liners with oil pockets created by burnishing techniques and turned piston skirts were analyzed. Distortion of surface topography parameters (from ISO 25178 standard) according to improper selection of reference plane was also taken into consideration. It was assumed that least square fitted cylinder plane gave better results for both of type cylinder liners according to commonly used algorithm. However, for piston skirt surfaces the obtained results were very similar. For least square polynomial fittings it was found that applied method for cylinder liners gave usually better robustness for scratches, valleys and dimples occurrence. For piston skirt surfaces better edge-filtering results were obtained. It was also recommended to analyse the Sk parameters for proper selection of reference plane in surface topography measurements.
    Źródło:
    Advances in Science and Technology. Research Journal; 2016, 10, 30; 164-175
    2299-8624
    Pojawia się w:
    Advances in Science and Technology. Research Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Strejc model-based, semi-fractional (SSF) transfer function model
    Model transmitancyjny typu SSF bazujący na modelu Strejca
    Autorzy:
    Oprzędkiewicz, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/282116.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    transmitancja ułamkowego rzędu
    metoda najmniejszych kwadratów
    aproksymacja Oustaloupa
    fractional order transfer function
    least square method
    Oustaloup approximation
    Opis:
    In paper the proposition of Strejc model based, transfer function, fractional model, (called SSF model) is presented. The model is dedicated to describe high-order control plants. Parameters of the model were ealeulated numerically with the use of the least square method and MATLAB/SIMULINK. Results of simulations show, that the proposed model assures very good accuracy associated to relatively Iow order in comparison to other models describing the considered exemplary control plant.
    W pracy omówiono propozycję zastępczego modelu transmi-tancyjnego ułamkowego rzędu bazującego na modelu Strejca, nazywanego modelem SSF (ang: Strejc Semi Fractional model). Model jest dedykowany do opisu obiektów regulacji wysokiego rzędu. Parametry modelu zostały wyznaczone numerycznie z wykorzystaniem metody najmniejszych kwadratów i środowiska MATLAB/ SIMULINK. Wyniki badań symulacyjnych wskazują, że w przypadku doświadczalnego obiektu cieplnego proponowany model zapewnia bardzo dobrą dokładność przy niskim rzędzie w porównaniu z innymi modelami rozważanego obiektu.
    Źródło:
    Automatyka / Automatics; 2012, 16, 2; 145-154
    1429-3447
    2353-0952
    Pojawia się w:
    Automatyka / Automatics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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