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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