1. (TCO 1) A signal that is a function of time has following properties or the following applies to it. (Points : 4) it is impossible to change the properties of a signal.
A signal can be modified by a system which applies a transformation to it.
an electrical signal can only be transformed into an electrical signal.
an electrical signal can only be transformed into a non-electrical signal.
Question 2. 2. (TCO 1) A sinusoidal signal, 4 sin(?t), passing through an LTI system, undergoes a gain of 1.5 and a 45-degree phase lag. The resulting output signal will be mathematically described as (Points : 4) |
5.5 sin(?t).
6 sin(?t – ?/4).
6 sin(?t + ?/4).
5.5 sin(?t – ?/4).
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Question 3. 3. (TCO 1) Determine which of the following is a linear system by applying the principle of superposition. (Points : 4) |
y = x2
y= 2 x + 2
y = 2x
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Question 4. 4. (TCO 1) A continuous time system has an output, y, which is given by . It is sampled at a frequency of 2 Hz. Determine the expression that correctly represents the discrete signal obtained after sampling and its value for n = 2. (Points : 4) |
y(n) = , value at n = 2 is -1
y(n) = , value at n = 2 is 0.0174
y(n) = , value at n = 2 is 0
y(n) = , value at n = 2 is 0.841
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Question 5. 5. (TCO 1) A signal given by 5 Cos (20*pi*t) + 20 Sin (40*pi*t) is sampled at a rate of 15 Hz. Is the Nyquist theorem violated? (Points : 4) |
No, it is not violated.
Yes, it is violated.
Insufficient data to answer the question
Question cannot be answered because sampling time is unknown
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Question 6. 6. (TCO 1) A continuous signal is described by 15 sin( 100t + pi/2).
Its numerical value at t = 0 seconds is given by (Points : 4)
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15.
pi/2.
100.
0.
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Question 7. 7. (TCO 1) A discrete time sequence is shown below in a figure. All values not shown can be assumed to be zero. Describe the sequence as a sum of undelayed (if any) and delayed step functions.
(Points : 3)
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– 2?(n-1) – 2 ?(n-2) + ? (n-3) +? (n-4)
?(n-1) – 2 ?(n-2) – 2 ? (n-3) – ? (n-4)
-2?(n) – ?(n-1) – ? (n-2) + + ?(n-3)
?(n-1) + 2 ?(n-2) + ?(n-3) +2 ? (n-4)
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Question 8. 8. (TCO 1) A discrete time sequence is shown below in a figure. All values not shown can be assumed to be zero. Describe the sequence as a sum of undelayed (if any) and delayed step functions.
(Points : 3)
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