Agilent Technologies X Series Manual page 490

Meas
For I/Q trace data, the rms of the magnitudes of the I/Q pairs is returned. See the
NOTE
following equation.
This function is very useful for I/Q trace data. However, if the original trace data is
in dB, this function returns the rms of the log values which is not usually needed.
Equation 4
RMS Value of Data Points for Specified Region(s)
Σ
1 _
Xi
RMS =
n
Xi ∈ region(s)
where Xi is a data point value, and n is the number of data points in the specified region(s).
Equation 5
RMS Value of I/Q Data Pairs for Specified Region(s)
Σ
1 _
Xi Xi*
RMS =
n
Xi ∈ region(s)
where Xi is the complex value representation of an I/Q pair, Xi* its conjugate complex number, and n
is the number of I/Q pairs in the specified region(s).
Once you have the rms value for a region of trace data (linear or I/Q), you may want to calculate the
mean power. You must convert this rms value (peak volts) to power in dBm:
10 x log[10 x (rms value)
• SAMPle - returns the first data value (x,y pair) for the specified region(s) of trace data. For I/Q trace
data, the first I/Q pair is returned.
• SDEViation - returns a single value that is the arithmetic standard deviation for the data point values
for the specified region(s) of trace data. See the following equation.
For I/Q trace data, the standard deviation of the magnitudes of the I/Q pairs is returned. See the
following equation.
Equation 6
Standard Deviation of Data Point Values for Specified Region(s)
Σ
1 _
(Xi – X)
SDEV =
n
Xi ∈ region(s)
where Xi is a data point value, X is the arithmetic mean of the data point values for the specified
region(s), and n is the number of data points in the specified region(s).
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