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BSA Flow Software Installation and User's Guide - CSI

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If the true signal contain components with frequencies higher than the<br />

Nyquist critical frequency, they will be falsely interpreted as lower<br />

frequency components with the same signal intensity.<br />

(7-73)<br />

To avoid this so-called aliasing the Nyquist criterion specify that samples<br />

should be taken at least twice in each period of the highest frequency<br />

contained in the sampled signal.<br />

In the context of spectrum calculation aliasing mean that frequencies higher<br />

than half the sampling frequency will falsely contribute to the spectrum at<br />

lower frequencies.<br />

Consider for example the signal shown in Figure 7-86: The true signal<br />

consists of three components: A 60Hz component, a 150Hz component <strong>and</strong><br />

some white noise.<br />

Low frequency component<br />

High frequency component<br />

True signal with noise b<strong>and</strong><br />

T2=1/f2<br />

T1=1/f1<br />

Figure 7-86 : The high frequency component drown in noise,<br />

leaving only the low frequency component visible.<br />

On an oscilloscope the 60Hz component will be clearly visible, but the<br />

150Hz component drown in noise <strong>and</strong> may not be recognized. If the<br />

sampling frequency is chosen as 240Hz, the Nyquist criterion state, that<br />

frequencies up to 120Hz will be resolved. This is more than enough to<br />

resolve the 60Hz component, but the energy contained in the 150Hz<br />

component will be aliased, <strong>and</strong> contribute to the spectrum around 90Hz as<br />

shown in Figure 7-87:<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Reference guide 7-129

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