EECE 359: Signals and Systems
Midterm #1
Dr. Meeko Oishi
October 5, 2007
This midterm is closed note7 closed book, and calculators are not allowed. A single-sided, one-page
cheat sheet is allowed and must be handed in with your midterm. (It will be ret

1
Problem 1
Determine and plot the Fourier transform for each of the following signals.
a) x1 (t) =
sin(t)
t
b) x2 (t) =
sin(t/2)
t
c) x3 (t) =
sin(t)sin(t/2)
t2
Solution:
F
a) x1 (t) =
sin(t)
t
= sint(t) X1 (j ) =
b) x2 (t) =
sin(t/2)
t
= X1 (j ) =
F
,
0