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If the unit s...
Question
If the unit step response of a network is
(
1
−
e
−
α
t
), then its unit impulse response is
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Solution
Unit step response
s
(
t
)
=
(
1
−
e
−
α
t
)
So, unit impulse response is
h
(
t
)
=
d
s
(
t
)
d
t
=
d
d
t
(
1
−
e
−
α
t
)
=
α
e
−
α
t
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