31.12.2014 Views

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<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 />

2

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!