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ENGG 2030 Signals and Systems
Assignment 2
Deadline Oct 3
1. Sketch the following time-varying signal.
x[n ] cos(
2
n )cfw_[n 2] [n 2]
2. A continuous-time signal is shown in the diagram. Sketch the
following signals.
(a) x(2t 1)
(b) x(3 t )
x(t)
2
1
-3
0
1
ENGG 2030 Signals and Systems
Assignment 4
Deadline Nov 7th
1. Compute the convolution integral of the following pair of signals:
|t|, t < 2
x(t) = cfw_
, h(t) = (t + 1) + ( + 2)
0, t 2
x(t)
h(t)
2
-2
0
2
t
-2
-1
3
4 5
0
t
2. A discrete signal is shown
ENGG 2030 Signals and Systems
Assignment 3
Deadline Oct 17
1. Find the Fourier transform of the periodic signal ( ) with
the period of T = 2
( ) = cfw_
2 + 2
2 + 2
1 <0
0 <1
2. Find the Fourier transform of the aperiodic signal ( )
2 + 2
( ) = cfw_
2 + 2
ENGG 2030 Signals and Systems
Assignment 1
Deadline Sep 19
1. Simplify
2
(2+ j)
2. Plot the roots of
x 2+2 x +1=0
2
on complex plane
w
3.
calaulate e j 2 ft df
w
4. Determine the period of
f(t)=
5.
x(t)
1
-5
5
t
x (t)
2
Calculate
x(t)dt and
6. Calculate
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.
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