1
Frequency Response Analysis
Frequency Response Analysis
Analytical Expression for Frequency response
Given that a linear time–invariant system is
represented by a transfer function of
G
(
s
).
Let the system
input be a sinusoidal motion
, i.e.,
x
(
t
) =
X
sin(
ω
t
), where
X
is the amplitude
and
ω
is
the frequency of the input signal
. The Laplace
transform of
x
(
t
) is given by
2
2
)
(
ω
ω
+
=
s
X
s
X

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