Estimates the modal parametric model of a univariate or multivariate (vector) time series. The modal parameters include magnitude, phase, damping factor, and natural frequency. Wire data to the Xt input to determine the polymorphic instance to use or manually select the instance.


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TSA Modal Parametric Modeling Details

For a univariate impulse response time series, this VI estimates the modal parametric model according to the following equation:

where ht is the univariate impulse response series, and n is the model order.

ai denotes one of the complex amplitudes, which is defined as:

ai = riejq

where r is magnitude, and q is phase.

Si is one of the modal poles, which is defined as:

Si = a + j2pf

where a is damping factor, and f is frequency.

For a multivariate impulse response time series, this VI estimates the modal parametric model according to the following equation:

where Ht is the multivariate impulse response series. Ht is a k×1 vector with k variables that come from k sources. Ai is a k×1 complex amplitude vector with k variables. AiT=(a1i,…,aki). Si is one of the modal poles. n is the model order.

Refer to the univariate modal parametric model for the descriptions of aki in the vector Ai.

Examples

Refer to the following VIs for examples of using the TSA Modal Parametric Modeling VI:

  • Modal Analysis of a Plate VI: labview\examples\Time Series Analysis\TSAApplications
  • Frequency Components VI: labview\examples\Time Series Analysis\TSAGettingStarted