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The 2-sample wide triangular pulse (Eq. (I.5)) can be
expressed as a convolution of the one-sample rectangular pulse with
itself.
Figure I.14:
The width rectangular pulse.
|
The one-sample rectangular pulse is shown in Fig. I.14
and may be defined analytically as
where is the Heaviside unit step function:
Convolving with itself produces the two-sample triangular pulse
:
While the result can be verified algebraically by substituting
for , it seen more quickly via
graphical convolution.
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