QUESTION 1 Time and amplätude transformation is the basic operation to modify the oripinal signal by performing reversal, scaling and shifting in time and amplitude. You are given a signal x(t) as shown in Figure Q1(0) and a signal of y(7) as represented in equation (1). y(t) = u(t + 1) - u(t - 1.5) (1)

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QUESTION 1
Time and amplitude transformation is the basic operation to modify the original signal by
performing reversal, scaling and shifting in time and amplitude. You are given a signal x(t) as
shown in Figure QI(a) and a signal of y(t) as represented in equation (1).
y(t) = u(t + 1) – u(t - 1.5)
(1)
3.5
3
2.5
1.5
0.5
2 -1.5
-1
1.5
25 3
Figure Q1(a)
Answer the following questions.
(a) Apply the concept of odd'even signals to obtain and sketch the even signal of x().
(b) Analyze and sketch the new signal of :(t) = -2x(t - 4). Then prove your answer.
(c) By refering a system in Figure Q1(c) and signal x(t) and y(t) as the input, analyze and
sketch the signal of r(t).
(ВЕКС 2433)
*(-t)
1
r(t)
y(t)
3
Figure Q1(c)
2.
Transcribed Image Text:QUESTION 1 Time and amplitude transformation is the basic operation to modify the original signal by performing reversal, scaling and shifting in time and amplitude. You are given a signal x(t) as shown in Figure QI(a) and a signal of y(t) as represented in equation (1). y(t) = u(t + 1) – u(t - 1.5) (1) 3.5 3 2.5 1.5 0.5 2 -1.5 -1 1.5 25 3 Figure Q1(a) Answer the following questions. (a) Apply the concept of odd'even signals to obtain and sketch the even signal of x(). (b) Analyze and sketch the new signal of :(t) = -2x(t - 4). Then prove your answer. (c) By refering a system in Figure Q1(c) and signal x(t) and y(t) as the input, analyze and sketch the signal of r(t). (ВЕКС 2433) *(-t) 1 r(t) y(t) 3 Figure Q1(c) 2.
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