1. Consider the raised-cosine pulse x(t) defined as x(t) = 0, (cos(wt)+1), -

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1. Consider the raised-cosine pulse x(t) defined as
x(t)
=
0,
(cos(wt)+1), -<t<;
otherwise.
(a) The total energy of a continuous-time signal v(t) is defined as
E =
=v² (t)dt.
L
Find the total energy of x(t).
(b) Suppose that x(t) is time-scaled and time-shifted and the output is y(t):
=
-
x(0.2t 5). Sketch
y(t).
Transcribed Image Text:1. Consider the raised-cosine pulse x(t) defined as x(t) = 0, (cos(wt)+1), -<t<; otherwise. (a) The total energy of a continuous-time signal v(t) is defined as E = =v² (t)dt. L Find the total energy of x(t). (b) Suppose that x(t) is time-scaled and time-shifted and the output is y(t): = - x(0.2t 5). Sketch y(t).
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