Z-transforms Quiz

Z-transforms Quiz

1st Grade

10 Qs

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Z-transforms Quiz

Z-transforms Quiz

Assessment

Quiz

Mathematics

1st Grade

Practice Problem

Hard

Created by

MUTHULAKSHMI M

Used 2+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Z-transform used for in mathematics?

Studying continuous-time systems

Analyzing discrete-time systems

Solving differential equations

Measuring physical quantities

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Can you give an example of a Z-transform?

X(z) = ∑(n=0 to ∞) x[n]z^n

X(z) = ∑(n=-∞ to ∞) x[n]z^n

X(z) = ∑(n=-∞ to ∞) x[n]z^(-n)

X(z) = ∑(n=-∞ to ∞) x[n]z^n + x[0]

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the Z-transform different from the Laplace transform?

The Z-transform is only applicable to linear time-invariant systems, while the Laplace transform can be used for any type of system.

The Z-transform is used for continuous-time signals while the Laplace transform is used for discrete-time signals.

The Z-transform is a one-sided transform, while the Laplace transform is a two-sided transform.

Both transforms are used for different types of signals and systems.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the applications of Z-transforms in signal processing?

Analyzing discrete-time systems

Designing mechanical systems

Studying quantum mechanics

Creating continuous-time systems

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating the Z-transform of a sequence?

X(z) = Σ(x[n]+z^(-n))

X(z) = Σ(x[n]^z^(-n))

X(z) = Σ(x[n]*z^(-n))

X(z) = Σ(x[n]/z^(-n))

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the region of convergence (ROC) related to the Z-transform?

It is used to calculate the impulse response

It defines the range of values for which the Z-transform converges.

It determines the frequency response of the system

It has no relationship to the Z-transform

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of poles and zeros in the Z-transform?

They have no significance in the Z-transform

They only apply to continuous-time systems

They are used to determine the input signal

They provide information about the stability and frequency response of a discrete-time system.

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