Inverse Z Transform Concepts

Inverse Z Transform Concepts

Assessment

Interactive Video

Other

11th - 12th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the inverse Z transform using the long division method, also known as the power series expansion method. It covers the conditions for Z transform, such as mod z > 1 and mod z < 1, and discusses the concepts of causal and anti-causal systems. The tutorial details the process of converting negative powers to positive powers and emphasizes the importance of descending order for causal systems. The division process is demonstrated step-by-step, leading to the final results of the inverse Z transform.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to learn the inverse Z transform in this video?

Long division method

Fourier transform method

Matrix inversion method

Laplace transform method

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two conditions given for the inverse Z transform?

mod z equal to one and mod z not equal to one

mod z greater than one and mod z less than one

mod z greater than zero and mod z less than zero

mod z equal to zero and mod z not equal to zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the unit circle represent in the context of the inverse Z transform?

A circle with radius 2

A circle with radius 1

A circle with radius 0.5

A circle with radius 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the unit circle in the inverse Z transform?

It represents the center of the system

It represents the exterior of the system

It represents the boundary of the system

It represents the interior of the system

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the difference between causal and anti-causal systems?

Causal systems are inside the unit circle, anti-causal are outside

Causal systems are neither inside nor outside the unit circle

Causal systems are outside the unit circle, anti-causal are inside

Causal systems are on the unit circle, anti-causal are not

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a positive power indicate in the context of the inverse Z transform?

A power equal to zero

A power less than zero

A power not equal to zero

A power greater than zero

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are negative powers converted to positive powers in the inverse Z transform?

By subtracting 1 from the power

By taking the reciprocal

By multiplying by zero

By adding 1 to the power

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