Z-Transform Concepts and Techniques

Z-Transform Concepts and Techniques

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains inverse Z-transforms, focusing on the long division method. It covers the importance of the region of convergence in determining signal type and provides a detailed example of inverting a right-sided signal. The tutorial walks through the long division process, converting Z-transforms to the time domain, and highlights the usefulness of this method for obtaining initial signal values. The video concludes with a preview of a left-sided signal example.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method mentioned for performing inverse Z-transforms?

Fourier series

Partial fraction expansion

Taylor series

Laplace transform

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method to partial fraction expansion for inverse Z-transforms?

Polynomial expansion

Long division

Short division

Matrix inversion

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the region of convergence determine in the Z domain?

The type of signal (right-sided or left-sided)

The frequency of the signal

The phase of the signal

The amplitude of the signal

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the region of convergence is inside a circle, what type of signal is it?

Right-sided signal

Periodic signal

Bilateral signal

Left-sided signal

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Z-transform expression used in the example?

1 + Z^(-1) / (1 - 1/2 Z^(-1))

2 + Z^(-1) / (1 - 1/2 Z^(-1))

1 + Z / (1 - 1/2 Z)

2 + Z / (1 - 1/2 Z)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in performing long division on a Z-transform?

Subtract the denominator from the numerator

Add the numerator and denominator

Multiply the numerator by the denominator

Divide the numerator by the denominator

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does Z^(-1) correspond to in the time domain?

Delta of K minus 1

Delta of K

Delta of K plus 1

Delta of K minus 2

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