Signals and Systems (EENG 320)
Assignment (2)
1)
Consider a continuous time signal :
( )
(
2)
(
2)
x t
t
t
δ
δ
=
+
−
−
If a signal :
2
( )
(
)
t
y t
x
d
α
α
−∞
=
∫
a.
Is y(t) an energy signal or power signal?
b.
Calculate its energy and power
2)
Consider the discrete time signal x[n] :
f
fig (1)
If
[ ]
[
5 ]
l
y n
x n
l
∞
=−∞
=
−
∑
a.
Draw y[n]
b.
Is it an energy signal or power signal?
c.
Calculate its energy and power
3)
For each of the following systems, determine whether it has Memory, is Time invariant,
Linear, causal or stable. Justify your answer :
a.
( )
(
2)
(2
)
y t
x t
x
t
=
−
+
−
b.
( )
( / 3)
y t
x t
=
c.
( )
( ( )
(
2)) ( )
y t
x t
x t
u t
=
+
−

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