Circuits and Systems II
Hayder Radha
 1 
ECE 202
Homework Set #8
Due Wednesday, March 26, 2008 (In class)
ECE 202 – Circuits and Systems II
Spring 2008
Michigan State University
Department of Electrical and Computer Engineering
Please remember to follow the rules and policies outlined in the Homework section of the
ECE 202 webpage:
http://www.egr.msu.edu/classes/ece202/radha
Convolution
[1]
The impulse response of a linear system is a pulse over a onesecond period:
( )
( )
(
)
1
h t
u t
u t
=
−
−
. Let the input signal be a step function:
( )
( )
x t
u t
=
. Find
the output
( )
y t
using convolution.
[2]
The impulse response of a linear circuit is:
( )
( )
t
h t
e
u t
α
−
=
. Let the input be a
timeshifted stepfunction:
( )
(
)
1
x t
u t
=
−
.
(a)
Find the output of the system
( )
y t
using (timedomain) convolution.
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 Spring '08
 RADHA
 Operational Amplifier, LTI system theory, Impulse response, input signal

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