Adaptive harmonic analysis

Arnold Heemink, B. de Jong, Harrie Prins

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    In this paper we describe a new approach to the harmonic analysis of the tide. For a number of reasons the harmonic constants are not really constant but vary slowly in time. Therefore, we introduce a narrow-band noise process to model the time-varying behaviour of these harmonic parameters. Furthermore, since the measurements available are not perfect, we also introduce a, possibly time-varying, measurement noise process to model the errors associated with the measurement process. By employing a Kalman filter to estimate the harmonic parameters recursively, the estimates can be adapted contineously to chaning conditions. The adaptive harmonic analysis can be used for the on-line prediction of the astronomical tide or, since the Kalman filter also produces the covariance of the estimation error, to gain quantitative insight into the resolution of tidal constituents.
    Original languageUndefined
    Pages (from-to)-
    Number of pages0
    JournalDeutsche hydrographische Zeitschrift
    Issue number2
    Publication statusPublished - 1991


    • METIS-140591
    • IR-74116

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