Frequency domain decomposition

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The frequency domain decomposition (FDD) is an output-only system identification technique popular in civil engineering, in particular in structural health monitoring. As an output-only algorithm, it is useful when the input data is unknown. FDD is a modal analysis technique which generates a system realization using the frequency response given (multi-)output data.[1][2]

Algorithm

  1. Estimate the power spectral density matrix at discrete frequencies .
  2. Do a singular value decomposition of the power spectral density, i.e. where is a unitary matrix holding the singular vectors , is the diagonal matrix holding the singular values .
  3. For an degree of freedom system, then pick the dominating peaks in the power spectral density using whichever technique you wish (or manually). These peaks correspond to the mode shapes.[1]
    1. Using the mode shapes, an input-output system realization can be written.

See also

References

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