Estimation of Correlation Functions by the Random Decrement Technique

Rune Brincker, Steen Krenk, Jacob Laigaard Jensen

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    14 Citationer (Scopus)

    Abstrakt

    The Random Decrement (RDD) Technique is a versatile technique for characterization of random signals in the time domain. In this paper a short review of the theoretical basis is given, and the technique is illustrated by estimating auto-correlation functions and cross-correlation functions on modal responses simulated by two SDOF ARMA models loaded by the same band-limited white noise. The speed and the accuracy of the RDD technique is compared to the Fast Fourier Transform (FFT) technique. The RDD technique does not involve multiplications, but only additions. Therefore, the technique is very fast - in some cases up to 100 times faster than the FFT technique. Another important advantage is that if the RDD technique is implemented correctly, the correlation function estimates are unbiased. Comparison with exact solutions for the correlation functions shows that the RDD auto-correlation estimates suffer from smaller RDD auto-correlation estimation errors than the corresponding FFT estimates. However, in the case of estimating cross-correlation functions for the stochastic processes with low mutual correlation, the FFT tehcnique might be more accurate.
    OriginalsprogEngelsk
    TitelProceedings of the Florence Modal Analysis Conference
    Antal sider6
    ForlagDipartimento di Meccanica e Technologie Industriali
    Publikationsdato1991
    Sider783-788
    StatusUdgivet - 1991
    BegivenhedFlorence Modal Analysis Conference - Firenze, Italien
    Varighed: 10 sep. 199112 sep. 1991

    Konference

    KonferenceFlorence Modal Analysis Conference
    LandItalien
    ByFirenze
    Periode10/09/199112/09/1991

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