In the general case, we do not know the frequency of
any of the oscillations that might be present in the
signal being measured. But, as was just shown, we do
know those of half or more the sampling rate will
produce aliases during acquisition. Therefore, to
ensure that aliases are prevented, it is necessary to
remove all components of the signal and noise with
frequencies of half or more the sampling rate with a
low-pass anti-aliasing filter. This is an analog
circuit through which the input signal must pass on
its way to the analog-to-digital converter. Of
course, the filter not only eliminates any aliasing
in the digital data, but also attenuates any true
signals -- wanted or unwanted -- above the stopband
of the filter. Thus, when the data is subsequently
analyzed with digital signal processing, we need not
worry about any false lower-frequency signals being
left in the data by the analog-to-digital conversion
process.