DI-770 Oscilloscope provides five virtual instruments in one
DI-770 Oscilloscope provides five virtual instruments in one
DI-770 Oscilloscope provides five virtual instruments in one
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<strong>DI</strong>-<strong>770</strong> and WINDAQ/Scope Manual<br />
Sampl<strong>in</strong>g<br />
When sampl<strong>in</strong>g the <strong>in</strong>put signal, samples are taken at certa<strong>in</strong> moments. The frequency at which the samples are taken<br />
is called the sampl<strong>in</strong>g frequency. By tak<strong>in</strong>g a (large) number of samples, the <strong>in</strong>put signal can be reconstructed.<br />
The more samples are taken, the better the signal can be reconstructed. The sampl<strong>in</strong>g frequency must be higher than 2<br />
times the highest frequency <strong>in</strong> the <strong>in</strong>put signal. This is called the Nyquist frequency. Theoretically it is possible to<br />
reconstruct the <strong>in</strong>put signal with more than 2 samples. In practice, 10 to 20 samples are necessary to be able to exam<strong>in</strong>e<br />
the signal thoroughly.<br />
Alias<strong>in</strong>g<br />
If the sampl<strong>in</strong>g frequency is lower than 2 times the frequency of the <strong>in</strong>put signal, 'alias<strong>in</strong>g' will occur. The follow<strong>in</strong>g<br />
illustration shows how alias<strong>in</strong>g occurs.<br />
The <strong>in</strong>put signal is a triangular signal with a frequency of 1.25 kHz (upper most <strong>in</strong> the illustration). The signal is sampled<br />
at a frequency of 1 kHz. The dotted signal is the result of the reconstruction. From that triangular signal the periodical<br />
time is 4 ms, which corresponds with an apparent frequency (alias) of 250 Hz (1.25 kHz - 1 kHz).<br />
To avoid alias<strong>in</strong>g, the sample frequency must be higher than 2 times the maximum frequency of the <strong>in</strong>put signal.<br />
Introduction<br />
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