result in the group delay data. These errors can be significant for long delay devices. You can verify that A$ is ~180“ by increasing the number of points or narrowing the frequency span (or both) until the group delay data no longer changes.

 

 

 

 

AfMXtUW

 

 

A

 

7-T

Frequency

PhSe

 

 

 

 

w

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

 

 

--)

Jf a

- - -

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

*

1 - -

i

 

 

 

 

- - -

 

 

 

 

 

 

 

JO

 

 

 

*2---

---

 

 

 

 

 

 

 

 

 

 

 

f

 

 

 

 

 

 

 

 

 

pgBl.so_c

Figure 6-21. Rate of Phase Change Versus Frequency

When deviations from linear phase are present, changing the frequency step can result in different values for group delay. Note that in this case the computed slope varies as the aperture Af is increased (see Figure 6-22). A wider aperture results in loss of the fine grain variations in group delay. This loss of detail is the reason that in any comparison of group delay data, it is important to know the aperture that was used to make the measurement.

I I I II

(a) Overlaid Traces

(b) Split Display

Figure 6-22. Variations in Frequency Aperture

In determining the group delay aperture, there is a tradeoff between resolution of tine detail and the effects of noise. Noise can be reduced by increasing the aperture, but this will tend to smooth out the fine detail. More detail will become visible as the aperture is decreased, but the noise will also increase, possibly to the point of obscuring the detail. A good practice is to use a smaller aperture to assure that small variations are not missed, then increase the aperture to smooth the trace.

The default group delay aperture is the frequency span divided by the number of points across the display. To set the aperture to a different value, turn on smoothing in the average menu, and vary the smoothing aperture. The aperture can be varied up to 20% of the span swept.

Application and Operation Concepts 639

Page 320
Image 320
HP 8753E manual Rate of Phase Change Versus Frequency