operator maps a length signal to a length
Definition: The repeat times operator is defined for any
, and indexing of is modolu (periodic extension).
operator simply repeats
its input signal times.7.7 An example of
is shown in Fig.7.8.
The example is
A frequency-domain example is shown in Fig.7.9.
Figure 7.9a shows the original spectrum , Fig.7.9b
shows the same spectrum plotted over the unit circle in the plane,
and Fig.7.9c shows
. The point (dc) is on
the right-rear face of the enclosing box. Note that when viewed as
centered about , is a somewhat ``triangularly shaped''
spectrum. We see three copies of this shape in
a) Conventional plot of .
b) Plot of over the unit circle in the plane.