Test: The Z-Transform - Electronics and Communication Engineering (ECE) MCQ

# Test: The Z-Transform - Electronics and Communication Engineering (ECE) MCQ

Test Description

## 20 Questions MCQ Test - Test: The Z-Transform

Test: The Z-Transform for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Test: The Z-Transform questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: The Z-Transform MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: The Z-Transform below.
Solutions of Test: The Z-Transform questions in English are available as part of our course for Electronics and Communication Engineering (ECE) & Test: The Z-Transform solutions in Hindi for Electronics and Communication Engineering (ECE) course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Test: The Z-Transform | 20 questions in 60 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
Test: The Z-Transform - Question 1

### ​ ​ ​

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

Test: The Z-Transform - Question 2

### X(z) = ln(1 + z-1), |z| > 0

Detailed Solution for Test: The Z-Transform - Question 2

Test: The Z-Transform - Question 3

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

Detailed Solution for Test: The Z-Transform - Question 3

Test: The Z-Transform - Question 4

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

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

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

Test: The Z-Transform - Question 5

Consider three different signal

fig.shows the three different region. Choose the correct option for the ROC of signal

R1  , R2 , R3

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

x1[n] is right-sided signal

Test: The Z-Transform - Question 6

Given

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

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

Test: The Z-Transform - 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 = 34. The time signal x[n] is

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

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

Test: The Z-Transform - 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: The Z-Transform - Question 8

Test: The Z-Transform - Question 9

The z-transform function of a stable system is given as

The impuse response h[n] is

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

h[n] is stable, so ROC includes |z| = 1

Test: The Z-Transform - Question 10

Let x[n] = δ[n-2] + δ[n+2]  The unilateral z-transform is

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

Test: The Z-Transform - Question 11

The unilateral z-transform of signal x[n] = u[ n + 4 ] is

Detailed Solution for Test: The Z-Transform - Question 11

Test: The Z-Transform - Question 12

The z-transform of a signal x[n] is given by

If X (z) converges on the unit circle, x[n] is

Detailed Solution for Test: The Z-Transform - Question 12

Since X(z) converges on |z| = 1. So ROC must include this circle.

Test: The Z-Transform - Question 13

The transfer function of a system is given as

The h[n] is

Detailed Solution for Test: The Z-Transform - Question 13

So system is both stable and causal. ROC includes z = 1.

Test: The Z-Transform - Question 14

The transfer function of a system is given as

Consider the two statements

Statement(i) : System is causal and stable.
Statement(ii) : Inverse system is causal and stable.

The correct option is

Detailed Solution for Test: The Z-Transform - Question 14

For this system and inverse system all poles are inside |z| = 1. So both system are both causal and stable.

Test: The Z-Transform - Question 15

The impulse response of a system is given by

For this system two statement are

Statement (i): System is causal and stable

Statement (ii): Inverse system is causal and stable.

The correct option is

Detailed Solution for Test: The Z-Transform - Question 15

Pole of this system are inside |z| = 1. So the system is stable and causal.
For the inverse system not all pole are inside |z| = 1. So inverse system is not stable and causal

Test: The Z-Transform - Question 16

The system

is stable if

Detailed Solution for Test: The Z-Transform - Question 16

Test: The Z-Transform - Question 17

Consider the following three systems

The equivalent system are

Detailed Solution for Test: The Z-Transform - Question 17

So y1 and y2 are equivalent.

Test: The Z-Transform - Question 18

The z-transform of a causal system is given as

The x[0] is

Detailed Solution for Test: The Z-Transform - Question 18

Test: The Z-Transform - Question 19

The z-transform of a anti causal system is

The value of x[0] is

Detailed Solution for Test: The Z-Transform - Question 19

Test: The Z-Transform - Question 20

Given the z-transforms

The limit of x[ ∞] is

Detailed Solution for Test: The Z-Transform - Question 20

The function has poles at z = 1,3/4. Thus final value theorem applies.

Information about Test: The Z-Transform Page
In this test you can find the Exam questions for Test: The Z-Transform solved & explained in the simplest way possible. Besides giving Questions and answers for Test: The Z-Transform, EduRev gives you an ample number of Online tests for practice