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Test: The Z And S Domain Relationship - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test - Test: The Z And S Domain Relationship

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

The auto-correlation function of a rectangular pulse of duration T is

Detailed Solution for Test: The Z And S Domain Relationship - Question 1

Explanation: The auto-correlation function is the method of correlating the various instants of the signal with itself and that of a rectangular pulse of duration T is a triangular pulse of duration 2T.

Test: The Z And S Domain Relationship - Question 2

The FT of a rectangular pulse existing between t = − T 2/ to t = T / 2 is a

Detailed Solution for Test: The Z And S Domain Relationship - Question 2

Explanation: By definition the Fourier transform is the transformation of time domain of signal to frequency domain and that of a rectangular pulse is a sinc function.

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Test: The Z And S Domain Relationship - Question 3

The system characterized by the equation y(t) = ax(t) + b is

Detailed Solution for Test: The Z And S Domain Relationship - Question 3

Explanation: The system is non-linear because x(t) = 0 does not lead to y (t) = 0, which is a violation of the principle of homogeneity.

Test: The Z And S Domain Relationship - Question 4

The continuous time system described by 2 y(t) = x (t2) is

Detailed Solution for Test: The Z And S Domain Relationship - Question 4

Explanation: Y (t) depends upon the future value therefore the system is anticipative and hence is not causal. But as it follows the superposition theorem so it is linear.

Test: The Z And S Domain Relationship - Question 5

If G( f) represents the Fourier Transform of a signal g (t) which is real and odd symmetric in time, then G (f) is

Detailed Solution for Test: The Z And S Domain Relationship - Question 5

Explanation: For the real and odd symmetric signal in time domain on the Fourier transform the resulting signal is always imaginary.

Test: The Z And S Domain Relationship - Question 6

If a periodic function f(t) of period T satisfies f(t) = −f (t + T/2) , then in its Fourier series expansion

Detailed Solution for Test: The Z And S Domain Relationship - Question 6

Explanation: The fourier series will contain the cosine terms if the periodic function f (t) of period T satisfies f (t) = -f(t+T/2), and this can be proved by the basic definition of the fourier transform.

Test: The Z And S Domain Relationship - Question 7

Given a unit step function u (t), its time-derivative is:

Detailed Solution for Test: The Z And S Domain Relationship - Question 7

Explanation: Unit step function is one of the test signals and for the basic standard signals they are interrelated as the function of differentiation and integration as unit step function is the integral of impulse function.

Test: The Z And S Domain Relationship - Question 8

The order of a linear constant-coefficient differential equation representing a system refers to the number of

Detailed Solution for Test: The Z And S Domain Relationship - Question 8

Explanation: The order of the differential equation is the power of the highest order of the differential term and which refers to the number of poles in the transfer function and practically it refers to the number of components that are energy storing elements .

Test: The Z And S Domain Relationship - Question 9

Z-transform converts convolution of time-signals to

Detailed Solution for Test: The Z And S Domain Relationship - Question 9

Explanation: Convolution is the combination of addition and multiplication that is between the same signal or the different signals and convolution in time domain is always multiplication in z domain.

Test: The Z And S Domain Relationship - Question 10

Region of convergence of a causal LTI system

Detailed Solution for Test: The Z And S Domain Relationship - Question 10

Explanation: Causal system refers to the system that is only defined for the positive time system and for positive values and therefore region of convergence of a causal LTI system is right half of s-plane.

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