This preview shows page 1. Sign up to view the full content.
Homework #10
Due: Tursday, May 7, 2009
Note
: Use of Matlab (or any other software) is not permitted.
I.
(Exercises 7.34) Simplify the following expressions. The parameters a,b, are real,
and m,n=0,1,2,… You can freely use rules from Fourier transform calculus, as well as
operations with distributions.
1.
(1pt)
)
(
)
(
)
(
b
a
x
b
x
a
x
−
−
−
−
∗
−
δ
;
2.
(1pt)
[]
)
(
"
"
)
(
2
ax
a
ax
−
;
a
≠
0
3.
(1pt)
)
(
)
(
)
(
)
(
)
(
)
(
x
x
x
n
m
n
m
+
−
∗
II.
(Exercise 7.38) Find the Fourier transform of each of the following generalized
functions assuming that a>0, 
∞
<b<
∞
, and n=1,2,… .
4.
(1pt)
)
(
)
(
)
(
b
ax
x
f
n
+
=
;
5.
(1pt)
n
n
b
x
b
x
x
f
−
−
⋅
+
=
)
(
)
(
)
(;
6.
(1pt)
n
ia
x
x
f
−
+
=
)
(
)
(
III.
(Exercise 7.56) Solve the following convolution equations over the space of
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 staff
 matlab

Click to edit the document details