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Due Monday, 10/31/05 at 5 PM
ECE 638
Homework No. 3
Fall 2005
1.
a.
Consider the signal
f
(
x
,
y
)
shown below
which has value
1
in the shaded areas, and value
0
, elsewhere. The bars are
infinitely long along the
y
axis; and there are infinitely many of them along the
x
axis.
Find a simple expression for the CSFT
F
(
u
,
v
)
of this signal, and sketch it.
b.
Consider the signal
g
(
x
,
y
)
shown below
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ECE 638 Homework No. 3
which has value
1
in the shaded areas, and value
0
, elsewhere. Here bars have
length 24 along the
y
axis; but there are still infinitely many of them along the
x
axis.
Find a simple expression for the CSFT
G
(
u
,
v
)
of this signal, and sketch it.
2.
For the function given below, do the following:
i.
Express
f
(
x
,
y
)
in terms of the special functions given in class.
ii.
Find its CSFT
F
(
u
,
v
)
using transform pairs and properties.
iii.
Sketch
F
(
u
,
v
)
in enough detail to show that you know what it looks like.
3.
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This note was uploaded on 02/19/2012 for the course ECE 638 taught by Professor Staff during the Fall '08 term at Purdue University.
 Fall '08
 Staff

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