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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Test: Difference Equations - Electrical Engineering (EE) MCQ

Test: Difference Equations - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test - Test: Difference Equations

Test: Difference Equations for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: Difference Equations questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Difference Equations MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Difference Equations below.
Solutions of Test: Difference Equations questions in English are available as part of our course for Electrical Engineering (EE) & Test: Difference Equations solutions in Hindi for Electrical Engineering (EE) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Difference Equations | 10 questions in 10 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Difference Equations - Question 1
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Difference equation model results in:

Detailed Solution for Test: Difference Equations - Question 1

Explanation: Equation in discrete time systems can be difference equation which are similar to the differentiation in the continuous time systems and difference equation results in sampled data system and numerical analysis of continuous system.

Test: Difference Equations - Question 2
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Difference equation is used in :

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Explanation: Difference equation are similar to the differentiation in the continuous systems and they have same function in discrete time systems and is used in discrete time analysis.

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Test: Difference Equations - Question 3
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Difference equation in discrete systems is similar to the _____________ in continuous systems.

Detailed Solution for Test: Difference Equations - Question 3

Explanation: Difference equation are the equations used in discrete time systems and difference equations are similar to the differential equation in continuous systems.

Test: Difference Equations - Question 4
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Difference equation solution yields at the sampling instants only:
Detailed Solution for Test: Difference Equations - Question 4

Explanation: Difference equation are the equations used in discrete time systems and difference equations are similar to the differential equation in continuous systems solution yields at the sampling instants only.

Test: Difference Equations - Question 5
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Difference equation technique for higher order systems is used in:
Detailed Solution for Test: Difference Equations - Question 5

Explanation: For higher order systems Z- transform which is transforming discrete time domain into z domain and is technique is convenient for analysis and design of linear sampled data systems.

Test: Difference Equations - Question 6
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Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable.
Reason (R): A system is unstable if the roots of the characteristic equation lie outside the unit circle.
Detailed Solution for Test: Difference Equations - Question 6

Explanation: Difference equation is y (n+2)-5 y (n+1) + 6 y (n) =x (n).
Taking z-transform, H (z) =1/ (z-2) (z-3).
The characteristic equation has roots z =2, 3. Since, the characteristic equation has roots outside the unit circle, hence the system is unstable.

Test: Difference Equations - Question 7
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The poles of a digital filter with linear phase response can lie
Detailed Solution for Test: Difference Equations - Question 7

Explanation: For stable systems the poles in z plane must lie inside or on the unit circle and Minimum number of delay elements = (Maximum power of z)-(minimum power of z).

Test: Difference Equations - Question 8
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If X(z) =(z+z-3)/(z+z-1), then x(n) series has: 
Detailed Solution for Test: Difference Equations - Question 8

Explanation: Using the long division method divide from denominator. So, x(n) series has alternate zeros n =1,3,5……

Test: Difference Equations - Question 9
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Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.
Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.
Detailed Solution for Test: Difference Equations - Question 9

Explanation: A causal system LTI system is stable if and only if all of poles of H(z) lie inside the unit circle.

Test: Difference Equations - Question 10
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Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane.
Reason (R): For a rational system, ROC is bounded by poles
Detailed Solution for Test: Difference Equations - Question 10

Explanation: For the rational transfer function H (z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane. For a rational system, ROC is bounded by poles.

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Important Questions for Difference Equations

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Difference Equations MCQs with Answers

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