Line Time Fourier Transforms

Line Time Fourier Transforms let you calculate Fourier transforms at various point along a line probe.

They allow the creation of either auto-spectra (see Eqn. (499)) or cross-spectra (Eqn. (500)) along the line probe.

h(x̲;t)G(x̲;ω)
Choosing this type of data set function creates a G(l) node (with a numerical suffix) in the object tree. This node has properties and is subject to common menu items.

Line Time Fourier Transform Properties

Start Signal

The start time for the sampling of this object.

End Signal

The end time for the sampling for this object.

Clicking the property customizer button activates a property customizer that lets you specify both the time value and the appropriate time units (hr, min, or s). If you have multiple data set functions, you can vary the settings of this property to sample multiple time intervals from the simulation run.

Amplitude Function

Specifies the amplitude function that is generated. These functions are all standard for this type of analysis.
NoteThe function domain is limited to positive frequencies.

Power Spectral Density

Frequency-domain description of the signal power.

Cross Spectral Density

The power spectral density of the cross-spectrum signal. This option is comparable to the auto-spectral density of 1-point Fourier transforms.

Analysis Blocks

Specifies the number of analysis blocks Nb (see Eqn. (523)) for this data set function to use.

Overlap Factor

Sets the overlap factor α (see Eqn. (523)) between blocks, if any, in a range from 0 to 0.9. This property allows for smooth transitions between blocks.

Window Function

Specifies the window function applied to the FT. The window function makes the signal periodic: it is guaranteed to be zero at both start and end. For most cases, apply a window function to a signal before applying an FT for best results. Available options:
  • None: This default setting leaves the data set function without a window function until you select one of the other options in this list.
  • Hamming: See Eqn. (543).
  • Hann (Hanning): See Eqn. (544).
  • Bartlett: See Eqn. (545).
  • Blackman: See Eqn. (546).