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EEE1005, Signals and Systems
Digital Assignment – I
Fall semester 2021-22
B1 slot
1. Find the energy and power for the signals
i)
iv)
��
�
� � = ��( 2 + 8)
ii) � � =
�,
0≤� ≤1
x(t) = 2 − �, 1 ≤ � ≤ 2
0, ��ℎ������
1 �
2
iii) x(t)= u(t+1)
2. Determine whether the signals are periodic or not.
i)
X(t) = 2 cos (10πt + π/6)
ii)
X(t) = e j2πt
iii) X(t)= cos 50πt + cos 60 πt
iv) X[n]= e jnπ/4
v)
X[n]= 1 + e jn4π/7 - e jn2π/5
3. For the Signal y(t) shown, sketch
i) x(t-1) ii) x(2-t)
iii) x(2t) iv) x(2t+1) v) 4x(-t)
x(t)
2
1
-2
-1
0
1
2
t
4.Determine whether the system is memoryless, causal, linear, time-invariant,
linear, stable or not.
i)
� � = �[4� + 1]
ii) y[n] =x[n] + nx[n+1]
ii)
iii)
Y(t) = 10 x(t) +5
Y[n] = a x[n]
iv) y(t) = x (t+10) + x2(t)
5. For the ������ � � shown, sketch
x(2t  1)
i)
iii) x(0.4t )
ii) x(t  1)
iv) x(t )  x(t )
6. Explain the representation of signals.
7. Explain the types of systems with examples.