Strictly speaking an AC signal should be bipolar, i.e. having a sign which alternates with time. While it's certainly possible to have a time-varying signal whose sign never changes, it's not possible to have one which is strictly monotonic. I.e. what goes up must come down, even if it never hits the ground. In this case we sometimes refer to the DC and AC components of a signal, more precisely defined as the average value and the variations about that average.
An important class of time-varying signals
are
periodic
signals
for which
where
is the
period
of the signal.
We can completely characterize a periodic signal
by describing
its
waveshape
(e.g. a sinusoid), its
amplitude,
and its
frequency.
The signals we measured last week were DC signals and could be described by a single number. This week we will look at a variety of AC signals which, in addition to being more interesting, can contain a greater amount of information.