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Test: Z-Transform - 1 - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test Signals and Systems - Test: Z-Transform - 1

Test: Z-Transform - 1 for Electrical Engineering (EE) 2024 is part of Signals and Systems preparation. The Test: Z-Transform - 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Z-Transform - 1 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Z-Transform - 1 below.
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Test: Z-Transform - 1 - Question 1

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Test: Z-Transform - 1 - Question 2

X (z) = ln (1 + z-1 ), |z|>0

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Test: Z-Transform - 1 - Question 3

If z-transform is given by
X (z) = cos ( z -3), |z|> 0,
The value of x[12] is

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Test: Z-Transform - 1 - Question 4

X (z) of a system is specified by a pole zero pattern in fig. P.5.4.36.

Consider three different solution of x[n]

Correct solution is

Detailed Solution for Test: Z-Transform - 1 - Question 4

All gives the same z transform with different ROC. So all are the solution.

Test: Z-Transform - 1 - Question 5

Consider three different signal

Fig. P.5.4.37 shows the three different region. Choose the correct option for the ROC of signal

Detailed Solution for Test: Z-Transform - 1 - Question 5

x1[n] is right-sided signal

Test: Z-Transform - 1 - Question 6

Given

For three different ROC consider there different solution of signal x[n] :

Correct solutions are

Detailed Solution for Test: Z-Transform - 1 - Question 6




So (b) is wrong.

Test: Z-Transform - 1 - Question 7

X (z) has poles at z = 1/2 and z = -1. If x [1] = 1 x [ -1] = 1, and the ROC includes the point z = 3/4. The time signal x[n] is

Detailed Solution for Test: Z-Transform - 1 - Question 7

Since the ROC includes the Z = 3/4, ROC is 

Test: Z-Transform - 1 - Question 8

x[n] is right-sided, X (z) has a signal pole, and x[0] = 2, x[2] = 1/2. x[n] is

Detailed Solution for Test: Z-Transform - 1 - Question 8

x[n]= Cpnu[n],x[0=2=C

Test: Z-Transform - 1 - Question 9

Find the Z-transform of y(n) = x(n + 2)u(n).

Detailed Solution for Test: Z-Transform - 1 - Question 9

Given y(n) = x(n + 2)u(n)

Let n + 2 = p,i.e. n = p – 2

=z2 X(Z) – z2 x(0) – zx(1).

Test: Z-Transform - 1 - Question 10

Let  The unilateral z-transform is

Detailed Solution for Test: Z-Transform - 1 - Question 10

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