Alias frequency
Suppose the true input signal has frequency f and that the
sampling frequency is fs. The following rules allow
the alias frequency fa to be calculated.
- f < ½fs
- As the signal frequency lies below the limit set by the sampling
theorem, no aliasing occurs; the sampled signal has the correct
frequency.
- ½fs < f <
fs
- The signal undergoes aliasing, with an alias frequency fa = fs - f
- f > fs
- Aliasing again occurs. To determine the alias frequency, first
calculate the signal frequency f modulo the sampling frequency
fs (i.e. keep subtracting fs
from f until the result is below fs). Then
apply either of the previous two rules, depending on whether the
resulting frequency value is below or above ½fs.
Back to 1.02
version / 1.1 version of aliasing
demo applet
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