Agilent Technologies 93000 SOC Series Training Manual page 549

Mixed-signal training
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Principle of Digital Integration
From the picture above, some general characteristics of digital
signal processing become obvious:
The mean value determined by the digital system will only be
correct, if the samples used for the computation cover exactly one
or several whole signal periods.
If the number of samples (N) covers more (or less) than a full
number of signal periods, the result will not be precise. The
resulting error depends not only on the number of samples, but
also on the shape of the waveform.
This means:
In order to fit a whole number of signal periods into a whole
number of samples, a digital signal processing system requires that
the period of the received waveform and the sampling frequency
be synchronized.
There are several ways to achieve this synchronization:
1 One can adjust the sampling frequency of the capturing
instrument according to the characteristics of the stimulating
signal.
2 Once the properties of the stimulating signal have been defined,
the test system itself could adjust the sampling frequency of the
capturing instrument.
3 If the sampling frequency of the capturing instrument shall not be
varied, the test system could tune the frequencies of the
stimulating signal.
4 The capturing instrument could use a phase-locked loop to adjust
its sampling frequency to the base frequency of the received signal.
Appendix A
549

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