What is the Z-transform used for in discrete time system analysis?

U2 Quiz 1

Quiz
•
Education
•
3rd Grade
•
Hard

Devi V
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The Z-transform is used for analyzing continuous-time systems
The Z-transform is used for image processing
The Z-transform is used for analyzing discrete-time systems in the frequency domain.
The Z-transform is used for analyzing mechanical systems
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain the difference between Z-transform and Laplace transform.
The Z-transform is used in signal processing, while the Laplace transform is used in control systems.
The Z-transform is for continuous-time, and the Laplace transform is for discrete-time.
The Z-transform is a one-sided transform, and the Laplace transform is a two-sided transform.
The Z-transform is for discrete-time, and the Laplace transform is for continuous-time.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the region of convergence (ROC) related to the Z-transform?
The region of convergence (ROC) is unrelated to the Z-transform
The region of convergence (ROC) is fixed for all Z-transforms
The region of convergence (ROC) is determined by the sampling rate
The region of convergence (ROC) of a Z-transform is related to the convergence properties of the corresponding discrete-time signal.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of poles and zeros in Z-transform analysis?
Poles and zeros have no impact on system analysis
Poles and zeros only affect the magnitude of the system response
Poles and zeros are used to determine the input signal in Z-transform analysis
Poles and zeros provide insights into system stability, frequency response, and nulls in Z-transform analysis.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Discuss the properties of the Z-transform.
Laplace transform properties
Convolution property
The properties of the Z-transform include linearity, time shifting, time scaling, time reversal, and initial value theorem.
Frequency domain analysis
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the Z-transform be used to analyze stability in discrete time systems?
By examining the region of convergence (ROC) of the system's transfer function. If the ROC includes the unit circle in the Z-plane, then the system is stable.
By checking the real part of the poles of the system's transfer function.
By analyzing the phase margin of the system's transfer function.
By evaluating the magnitude response of the system's transfer function.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse Z-transform and how is it calculated?
The inverse Z-transform is calculated using techniques such as partial fraction decomposition, power series expansion, or residue theorem.
The inverse Z-transform is calculated using the Taylor series expansion
The inverse Z-transform is calculated using the Laplace transform
The inverse Z-transform is calculated using the Fourier transform
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