Spectrum (Trace Data)

The Spectrum trace data displays the spectrum of the selected channel. The spectrum trace has frequency on the x axis and, by default, amplitude is shown on the y axis.

The following formulas show how the VSA calculates spectrum information:

Averaging Type Spectrum trace data

No averaging

RMS Average

image\rmsAverage_wmf.jpg

RMS Exponential AF[n] Average

image\rmsExpAverage_wmf.jpg

Peak Hold or Continuous Peak Hold Average

image\cphAverage_wmf.jpg

Time Average

image\timeAverage_wmf.jpg

Time Exponential Average

image\timeExpAverage_wmf.jpg

image\spectrumKey_wmf.jpg

As shown in the previous formulas, the spectrum may be a linear spectrum or power spectrum as follows:

If the average is...

then the spectrum trace data is...

Averaging OFF

Linear

rms Average

Power

Continuous peak

Power

A linear spectrum contains magnitude and phase (real and imaginary) information.

A power spectrum contains only magnitude (real) information. This occurs with rms averages, for instance, because the results of the FFT Fast Fourier Transform: A mathematical operation performed on a time-domain signal to yield the individual spectral components that constitute the signal. See Spectrum. are squared. Remember that the FFT yields both real and imaginary information. When the VSA squares the results of the FFT, the imaginary part becomes zero.