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BME 311
PROBLEM SET #3
January 25, 2006
DUE DATE:
February 1, 2006
Show work on separate sheets of paper. Include all hand plots, Matlab plots, and Matlab code.
1. [20] Use the Matlab function
conv
to determine the convolution of the following DT signals. Plot the
results for each, and label all axes and title the plots. Pay attention to the time axis!
(a)
x
[
n
] =
h
[
n
] =
±
1
,
n
= 0
,
1
,
2
0
,
otherwise
.
(b)
x
[
n
] =
±
1
,
n
= 0
,
1
,
2
0
,
otherwise
and
h
[
n
] =
±
n,
n
= 0
,
1
,
2
0
,
otherwise
.
(c)
x
[
n
] =
±
1
,
n
= 0
,
1
,
2
0
,
otherwise
and
h
[
n
] =
±
0
.
5
n
,
0
≤
n
≤
5
0
,
otherwise
.
(d)
x
[
n
] =
±
1
,
n
= 0
,
1
,
2
0
,
otherwise
and
h
[
n
] =
±
0
.
5

n

,

5
≤
n
≤
5
0
,
otherwise
.
7. [15] Consider an LTI system with
h
(
t
) = rect(
t
) =
±
1
,

t

<
0
.
5
0
,
otherwise
.
(a) Determine
y
(
t
) when
x
(
t
) = sin(
ω
0
t
). For what values of
ω
0
does
y
(
t
) = 0?
(b) Determine
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 Winter '06
 Steel

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