Computes the single-sided complex cepstrum of a univariate time series. This VI keeps the phase information of the input time series. You can reconstruct the original time series with the computed phase information and complex cepstrum. Wire data to the Xt input to determine the polymorphic instance to use or manually select the instance.


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TSA Complex Cepstrum Details

This VI computes the single-sided complex cepstrum C(t) of a univariate time series according to the following equation:

C(t) = FFT-1{ln[FFT(Xt)]}

where Xt is the univariate time series and FFT(Xt) is a complex array. FFT(Xt) = P(f)ejf(f).

In order to make the definition unique, this VI unwraps f(f) and removes the linear phase, so the computed cepstrum does not contain the phase information of the original time series. This VI saves the phase values of f(f) at frequency zero and frequency p into phase info. You can reconstruct the original time series using the phase values and the complex cepstrum.

Examples

Refer to the following VIs for examples of using the TSA Complex Cepstrum VI:

  • Echo Canceling VI: labview\examples\Time Series Analysis\TSAApplications
  • Cepstrum Analysis VI: labview\examples\Time Series Analysis\TSAGettingStarted