Why Z-transform is used in DSP in Signal Processing - Test Your Understanding

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the library used for Z-transform in Python.

Signal Processing

from sympy import [1]

Drag options to blanks, or click blank then click option'

Aintegrate

Bfft

Cztrans

Dplot

Attempts:

3 left

💡 Hint

Common Mistakes

Importing unrelated functions like fft or integrate.

The ztrans function from sympy is used to compute the Z-transform symbolically.

2fill in blank

medium

Complete the code to define a discrete signal x[n] as a list.

Signal Processing

x = [1, 2, 3, 4, [1]]

Drag options to blanks, or click blank then click option'

A5

B-1

C0

D6

Attempts:

3 left

💡 Hint

Common Mistakes

Adding zero or negative numbers which break the sequence.

The signal is defined as a list of values; adding 5 continues the sequence naturally.

3fill in blank

hard

Fix the error in the code to compute the Z-transform of x[n].

Signal Processing

from sympy import symbols, [1]
n, z = symbols('n z')
x = 1
Z = [1](x, n, z)

Drag options to blanks, or click blank then click option'

Adiff

Bfft

Cintegrate

Dztrans

Attempts:

3 left

💡 Hint

Common Mistakes

Using fft or integrate which are unrelated to Z-transform.

The ztrans function computes the Z-transform symbolically.

4fill in blank

hard

Fill both blanks to create a dictionary comprehension that maps n to x[n] for n from 0 to 4.

Signal Processing

x = {n: [1] for n in range([2])}

Drag options to blanks, or click blank then click option'

An+1

B5

C4

Dn

Attempts:

3 left

💡 Hint

Common Mistakes

Using wrong range or wrong value expression.

This creates a dictionary where each key n maps to n+1, for n from 0 to 4 (5 values).

5fill in blank

hard

Fill all three blanks to compute the Z-transform of a signal and print the result.

Signal Processing

from sympy import symbols, [1]
n, z = symbols('n z')
x = [2]
Z = [1](x, n, [3])
print(Z)

Drag options to blanks, or click blank then click option'

Aztrans

Bn+1

Cz

Dn

Attempts:

3 left

💡 Hint

Common Mistakes

Using wrong function names or variables.

The ztrans function computes the Z-transform of the signal n + 1 with respect to z.