TFA Marginal Integration VI

LabVIEW 2014 Advanced Signal Processing Toolkit Help

Edition Date: June 2014

Part Number: 372656C-01

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Owning Palette: Feature Extraction VIs

Requires: Advanced Signal Processing Toolkit

Computes the marginal integration of a signal by integrating the spectrogram of the signal along the time axis or the frequency axis.

Details  Example

spectrogram specifies the quadratic time-frequency representation of a signal. Use the Time Frequency Spectrogram VIs to compute the spectrogram of the signal.
scale info specifies the time scale information and the frequency scale information of the time-frequency representation.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
frequency marginal integral returns the result of integrating the spectrogram along the time axis, or the integral of each column of spectrogram. frequency marginal integral is equivalent to the smoothed power spectrum of the signal. The power spectrum reveals how the power of the signal changes over frequency. The following equation defines the frequency marginal integration:



where is the spectrogram of the signal.
f0 returns the lowest value of the frequency bins in hertz.
df returns the interval between the frequency bins in hertz.
spectrum returns the smoothed power spectrum at each frequency bin.
time marginal integral returns the result of integrating the spectrogram along the frequency axis, or the integral of each row of spectrogram. time marginal integral is equivalent to the smoothed instantaneous power of the signal. The instantaneous power reveals how the power of the signal changes over time. The following equation defines the time marginal integration:



where is the spectrogram of the signal.
t0 returns the lowest value of the time bins in seconds.
dt returns the interval between the time bins in seconds.
power returns the smoothed instantaneous power at each time bin.
error out contains error information. This output provides standard error out functionality.

TFA Marginal Integration Details

The spectrogram can result from any Time Frequency Spectrogram VI.

If you use the Wigner-Ville Distribution to compute the marginal integration, you can prove that

and

Example

Refer to the Marginal Condition VI in the labview\examples\Time Frequency Analysis\TFAFunctions directory for an example of using the TFA Marginal Integration VI.

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