Control Systems Z Transform Online Exam Quiz

Control Systems Z Transform GK Quiz. Question and Answers related to Control Systems Z Transform. MCQ (Multiple Choice Questions with answers about Control Systems Z Transform

The region of convergence of the z-transform of a unit step function is:

Options

A : |z|>1

B : |z|<1

C : (Real part of z)>0

D : (Real part of z)<0

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The ROC of z-transform of the discrete time sequence x(n) = is:

Options

A : 1/3>|z|<1/2

B : |z|>1/2

C : |z|<1/3

D : 2>|z|<3

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If the region of convergence of x1[n]+x2[n] is 1/>|z|<2/3, the region of convergence of x1[n]-x2[n] includes:

Options

A : 1/3>|z|<3

B : 2/3>|z|<3

C : 3/2>|z|<3

D : 1/3>|z|<2/3

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The discrete-time signal x (n) = (-1)n is periodic with fundamental period

Options

A : 6

B : 4

C : 2

D : 0

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A sequence x (n) with the z-transform X (z) = Z4 + Z2 – 2z + 2 – 3Z-4 is applied to an input to a linear time invariant system with the impulse response h (n) = 2? (n-3). The output at n = 4 will be:

Options

A : -6

B : Zero

C : 2

D : -4

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Which one of the following is the correct statement? The region of convergence of z-transform of x[n] consists of the values of z for which x[n] is:

Options

A : Absolutely integrable

B : Absolutely summable

C : Unity

D : <1

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H (z) is discrete rational transfer function. To ensure that both H(z) and its inverse are stable:

Options

A : Poles must be inside the unit circle and zeros must be outside the unit circle

B : Poles and zeroes must be inside the unit circle

C : Poles and zeroes must be outside the unit circle

D : Poles must be outside the unit circle and zeros must be inside the unit circle

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Z and Laplace transform are related by:

Options

A : s = ln z

B : s =ln z/T

C : s =z

D : s= T/ln z

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Two sequences x1 (n) and x2 (n) are related by x2 (n) = x1 (- n). In the z- domain, their ROC’s are

Options

A : The same

B : Reciprocal of each other

C : Negative of each other

D : Complements of each other

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The frequency of a continuous time signal x (t) changes on transformation from x (t) to x (? t), ? > 0 by a factor

Options

A : ?

B : 1/?

C : ?2

D : ?

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