HP 54710A User's Reference Manual page 243

Measurements
Time-interval measurements
But what if the signal had a glitch between two of the samples as shown in
figure 13-29? This glitch contains higher frequency components, and it
would not be seen on any oscilloscope with 1-GHz bandwidth, analog or
digitizing. To see the glitch, you need an oscilloscope with higher bandwidth
and a higher sampling rate.
Figure 13–29
A Glitch Between Samples
13–58