Below, we demonstrate aliasing (due to undersampling) for two
short pieces of music: (1) a short segment of Kenny Roger's "The
Gambler," and (2) a short segment of some Cantonese opera. For these
examples, we first resampled each piece of music to 48kHz (from
44.1kHz); note that this step does not add any information to the
signal, but merely simplifies the process of down-sampling. Then, we
down-sampled each piece of music to 8kHz, 4kHz and 2kHz in two
different ways: (1) with low-pass filtering prior to down-sampling and
(2) without low-pass filtering. The examples with low-pass filtering
are referred to as anti-aliased, since the low-pass filtering
prior to down-sampling ensures that no high-frequency aliases appear
in the reconstructed signal. Listening to these two different versions
at each lower sampling frequency, we can definitely hear distortion
(aliasing) in the examples where no low-pass filtering was applied
prior to down-sampling, while such distortion is not evident in the
anti-aliased (low-pass filtered) examples.