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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Electrical Engineering (EE) MCQ

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test - Test: The Inverse Z Transform And Response Of Linear Discrete Systems

Test: The Inverse Z Transform And Response Of Linear Discrete Systems for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: The Inverse Z Transform And Response Of Linear Discrete Systems questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: The Inverse Z Transform And Response Of Linear Discrete Systems MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: The Inverse Z Transform And Response Of Linear Discrete Systems below.
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Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 1
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Unit step response of the system described by the equation y(n) +y(n-1) =x(n) is:

Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 1

Explanation: Response of the system is calculated by taking the z-transform of the equation and input to the transfer function in the step input.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 2
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Inverse z-transform of the system can be calculated using:

Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 2

Explanation: Inverse z-transform is the opposite method of converting the transfer function in Z domain to the discrete time domain and this can be calculated using all the above formulas.

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Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 3
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Assertion (A): The system function
H(z) = z3-2z2+z/z2+1/4z+1/s is not causal
Reason (R): If the numerator of H (z) is of lower order than the denominator, the system may be causal.

Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 3

Explanation: The transfer function is not causal as for causality the numerator of H (z) is of lower order than the denominator, the system may be causal.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 4
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Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.
Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 4

Explanation: Z-transform is used to convert the discrete time systems into the z domain and it is also called pulsed transfer function approach that is justified only at the sampling instants.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 5
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The z-transform corresponding to the Laplace transform G(s) =10/s(s+5) is
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 5

Explanation: Laplace transform is the technique of relating continuous time to the frequency domain while the z transform is relating discrete time hence Laplace transform is first converted into time domain and then the z transform is calculated.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 6
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Homogeneous solution of: y(n) -9/16y(n-2) = x(n-1) 
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 6

Explanation: Taking the z-transform of the given difference equation and solving the homogeneous equation and finding the solution using complimentary function.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 7
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If the z transform of x(n) is X(z) =z(8z-7)/4z2-7z+3, then the final value theorem is : 
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 7

Explanation: Final value theorem is calculated for the transfer function by equating the value of z as 1 and this can be calculated only for stable systems.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 8
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Final value theorem is used for:
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 8

Explanation: Final value theorem is used to calculate the final value as for time infinite and for z = 1 the final value theorem can be calculated and final value theorem is for for stable systems.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 9
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If the z-transform of the system is given by
H (z) = a+z-1/1+az-1
Where a is real valued: 
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 9

Explanation: The discrete time frequency response will be aperiodic and does not depend on the frequency and the transfer function will be representing the all pass filter.

Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 10
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The system is stable if the pole of the z-transform lies inside the unit circle
Detailed Solution for Test: The Inverse Z Transform And Response Of Linear Discrete Systems - Question 10

Explanation: For the system to be stable in Z domain the pole in the this domain must lie inside the unit circle and for the causal stable region must be outside the circle and hence the locus will be a ring.

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