Test: Z-Transform - 1


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


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Attempt Test: Z-Transform - 1 | 10 questions in 30 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study Signals and Systems for Electrical Engineering (EE) Exam | Download free PDF with solutions
QUESTION: 1

Solution:


QUESTION: 2

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

Solution:


QUESTION: 3

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

Solution:


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

Solution:

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

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

Solution:

x1[n] is right-sided signal

QUESTION: 6

Given

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

Correct solutions are

Solution:




So (b) is wrong.

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

Solution:

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

QUESTION: 8

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

Solution:

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

QUESTION: 9

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

Solution:

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).

QUESTION: 10

Let  The unilateral z-transform is

Solution:

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