Trace Statistics    Related Topics

Opens a submenu to evaluate and display statistical and phase information of the entire trace or of a specific evaluation range and calculate the x-dB compression point.


Statistical Evaluation

The first three commands in the Trace Eval submenu display or hide the maximum (Max.), minimum (Min.), the peak-to-peak value (Pk-Pk), arithmetic mean value (Mean), the standard deviation (Std. Dev.), and the RMS value of all response values of the trace in the selected evaluation range (Eval Range...).

Definition of statistical quantities

The statistical quantities are calculated from all response values in the selected evaluation range. Suppose that the trace in the evaluation range contains n stimulus values xi and n corresponding response values yi (measurement points).

    

    

    

The definitions given above apply to all linear, scalar trace formats. For a dB Mag trace, the Mean, Std. Dev. and RMS are calculated before logarithmation.

Remote control:

CALCulate<Chn>:STATistics[:STATe]
CALCulate<Chn>:STATistics:RESult? MIN | MAX | PEAK2P | MEAN | STDDev | RMS


El. Length/Phase Delay

Displays or hides the phase delay (Delay) and the electrical length (EL) of the trace in the selected evaluation range (Eval Range...). The parameters are only available for trace formats that contain phase information, i.e. for the formats  Phase, Unwrapped Phase, and the polar diagram formats Polar, Smith, Inverted Smith. Moreover, the sweep type must be a frequency sweep.

Definition of phase parameters

The phase parameters are obtained from an approximation to the derivative of the phase with respect to frequency in the selected evaluation range.

,

where Df is the width of the evaluation range and DF is the corresponding phase change. See also note on transmission and reflection parameters below.

If no dispersion occurs the phase delay is equal to the group delay. For more information see mathematical relations.

If a dispersive connector type (i.e. a waveguide; see Offset Modeldialog) is assigned to a test port related to a particular quantity, then the dispersion effects of the connector are taken into account for the calculation of the phase delay and the electrical length.

To account for the propagation in both directions, the delay and the electrical length of a reflection parameter is only half the delay and the electrical length of a transmission parameter. The formula for PD above is for transmission parameters. See also introduction to section Channel – Offset.  

The phase parameters are available only if the evaluation range contains at least 3 measurement points.

The phase evaluation can cause misleading results if the evaluation range contains a 360 deg phase jump. The trace format Unwrapped Phase avoids this behavior.

Remote control:

CALCulate<Chn>:STATistics[:STATe]
CALCulate<Chn>:STATistics:RESult? ELENgth | PDELay


Compression Point

Displays or hides all results related to the x-dB compression point of the trace, where x is the selected compression value. To obtain a valid compression point results, a power sweep must be active, the trace format must be dB Mag and either an S-parameter or a ratio must be measured.

The x-dB compression point of an S-parameter or ratio is the stimulus signal level where the magnitude of the measured quantity has dropped by x dB compared to its value at small stimulus signal levels (small-signal value). As an approximation for the small-signal value, the analyzer uses the value at the start level of the evaluation range (Eval Range...).  

The compression point is a measure for the upper edge of the linearity range of a DUT. It is close to the highest input signal level for which the DUT shows a linear response (|an| —> x*|an| |bn| —> x*|bn|, so that the magnitude of all S-parameters remains constant).

When Compression Point is activated, a marker labeled Cmp is placed to compression point with the smallest stimulus level. Moreover the Trace Statistics info field shows the numerical results of the compression point measurement:

The info field shows invalid results ('---') if the wrong sweep type, trace format or measured quantity is selected, or if the trace contains no x-dB compression points in the selected evaluation range.

Measuring the x-dB compression point

Remote control:

CALCulate:STATistics:NLINear:COMP:RESult?


Define Compression Value

Opens the numeric entry bar to define the compression value x (in dB) for the compression point measurement.

Remote control:

CALCulate:STATistics:NLINear:COMP:LEVel


Eval Range

Opens a dialog to define the range for the statistical and phase evaluation and for the x-dB compression point measurement. The evaluation range is a continuous interval of the sweep variable.

It is possible to select, define and display up to ten different evaluation ranges for each setup. Full Span means that the search range is equal to the sweep range. The statistical and phase evaluation and the compression point measurement take into account all measurement points with stimulus values xi between the Start and Stop value of the evaluation range:

Start xi Stop

The evaluation ranges are identical to the marker search ranges. For more information see Search Range Dialog.

Trace statistics

Remote control:

CALCulate<Chn>:STATistics:DOMain:USER <numeric_value>
CALCulate<Chn>:STATistics:DOMain:USER:STARt <numeric_value>

CALCulate<Chn>:STATistics:DOMain:USER:STOP <numeric_value>


Smoothing On

Activates the smoothing function for the active trace, which may be a data or a memory trace. With active smoothing function, each measurement point is replaced by the arithmetic mean value of all measurement points located in a symmetric interval centered on the stimulus value. The width of the smoothing interval is referred to as the Smoothing Aperture and can be adjusted according to the properties of the trace.

The sweep average is an alternative method of compensating for random effects on the trace by averaging consecutive traces. Compared to smoothing, the sweep average requires a longer measurement time but does not have the drawback of averaging out quick variations of the measured values.

Remote control:

CALCulate<Chn>:SMOothing[:STATe] <Boolean>


Smoothing Aperture

Defines how many measurement points are averaged to smooth the trace if smoothing is switched on. The Smoothing Aperture is entered as a percentage of the total sweep span.  

An aperture of n % means that the smoothing interval for each sweep point i with stimulus value xi is equal to [xi – span*n/200, xi + span*n/200], and that the result of i is replaced by the arithmetic mean value of all measurement points in this interval. The average is calculated for every measurement point. Smoothing does not significantly increase the measurement time.

Finding the appropriate aperture

A large smoothing aperture enhances the smoothing effect but may also average out quick variations of the measured values and thus produce misleading results. To avoid errors, observe the following recommendations.

Remote control:

CALCulate<Chn>:SMOothing:APERture <numeric_value>