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    Wyświetlanie 1-3 z 3
    Tytuł:
    Estimation of Conditional Expected Value for Exponentially Autocorrelated Data
    Autorzy:
    Kowalczyk, A.
    Szlachta, A.
    Hanus, R.
    Chorzępa, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/220788.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    conditional averaging
    conditional expected value
    auto-correlated data
    random signals
    Opis:
    Autocorrelation of signals and measurement data makes it difficult to estimate their statistical characteristics. However, the scope of usefulness of autocorrelation functions for statistical description of signal relation is narrowed down to linear processing models. The use of the conditional expected value opens new possibilities in the description of interdependence of stochastic signals for linear and non-linear models. It is described with relatively simple mathematical models with corresponding simple algorithms of their practical implementation. The paper presents a practical model of exponential autocorrelation of measurement data and a theoretical analysis of its impact on the process of conditional averaging of data. Optimization conditions of the process were determined to decrease the variance of a characteristic of the conditional expected value. The obtained theoretical relations were compared with some examples of the experimental results.
    Źródło:
    Metrology and Measurement Systems; 2017, 24, 1; 69-78
    0860-8229
    Pojawia się w:
    Metrology and Measurement Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Investigation of the statistical method of time delay estimation based on conditional averaging of delayed signal
    Autorzy:
    Kowalczyk, A.
    Hanus, P.
    Szlachta, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/220429.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    time delay estimation
    random signals
    conditional averaging
    cross-correlation
    Opis:
    This paper presents the results of the theoretical and practical analysis of selected features of the function of conditional average value of the absolute value of delayed signal (CAAV). The results obtained with the CAAV method have been compared with the results obtained by method of cross correlation (CCF), which is often used at the measurements of random signal time delay. The paper is divided into five sections. The first is devoted to a short introduction to the subject of the paper. The model of measured stochastic signals is described in Section 2. The fundamentals of time delay estimation using CCF and CAAV are presented in Section 3. The standard deviations of both functions in their extreme points are evaluated and compared. The results of experimental investigations are discussed in Section 4. Computer simulations were used to evaluate the performance of the CAAV and CCF methods. The signal and the noise were Gaussian random variables, produced by a pseudorandom noise generator. The experimental standard deviations of both functions for the chosen signal to noise ratio (SNR) were obtained and compared. All simulation results were averaged for 1000 independent runs. It should be noted that the experimental results were close to the theoretical values. The conclusions and final remarks were included in Section 5. The authors conclude that the CAAV method described in this paper has less standard deviation in the extreme point than CCF and can be applied to time delay measurement of random signals.
    Źródło:
    Metrology and Measurement Systems; 2011, 18, 2; 335-342
    0860-8229
    Pojawia się w:
    Metrology and Measurement Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zastosowanie warunkowego uśredniania do wyznaczania interwału korelacji sygnału stochastycznego
    Application of conditional averaging to determination of correlation interval of stochastic signal
    Autorzy:
    Kowalczyk, A.
    Szlachta, A.
    Hanus, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/155990.pdf
    Data publikacji:
    2011
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    sygnały przypadkowe
    interwał korelacji
    funkcja autokorelacji
    warunkowe uśrednianie
    random signals
    correlation interval
    autocorrelation function
    conditional averaging
    Opis:
    W pracy przedstawiono zastosowanie warunkowego uśredniania sygnału stochastycznego do wyznaczania interwału korelacji. Dla wybranych modeli sygnałów porównano wyniki badań teoretycznych i eksperymentalnych.
    The article presents the application of conditional averaging of stochastic signals to determination of correlation interval. For chosen models of signals the results of theoretical analysis are compared with results of experiments. The paper is divided into five sections. The first is a short introduction to the subject of the paper. Section 2 presents the definition and some examples of correlation intervals for typical form of autocorrelation functions (Fig. 1, Tab.1). Section 3 describes the use of conditional mean value to determination of correlation interval (Eq. 9) and statistical errors of estimation for this method (Eq. 10, Eq. 13). The results of experiments for random signals with Gaussian probability distribution and two typical form of autocorrelation function (Fig. 4) are given in Section 4. Section 5 summarizes the results and presents final remarks. The authors conclude that the method described in this paper may be applied to determination of correlation interval of stochastic signals, particularly for signals with non-oscillative form of autocorrelation function.
    Źródło:
    Pomiary Automatyka Kontrola; 2011, R. 57, nr 12, 12; 1555-1557
    0032-4140
    Pojawia się w:
    Pomiary Automatyka Kontrola
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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