Practice Example of Convolution and Correlation - 1.7 | 1. Discrete-Time Signals and Systems: Convolution and Correlation | Digital Signal Processing
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does convolution represent in signal processing?

πŸ’‘ Hint: Think about interactions between input and system response.

Question 2

Easy

How do we calculate the correlation of two signals?

πŸ’‘ Hint: Recall the definition of correlation.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main purpose of convolution?

  • To calculate similarity
  • To combine signals
  • To amplify signals

πŸ’‘ Hint: Think of how outputs are formed.

Question 2

In correlation, do we flip the signal?

  • True
  • False

πŸ’‘ Hint: Consider how we shift signals during this operation.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given x[n] = {1, 3, 2} and h[n] = {1, 1, 1}, calculate the output of the convolution y[n].

πŸ’‘ Hint: Visualize the overlap during computation.

Question 2

For the signals x[n] = {1, 0, -1} and y[n] = {2, -2}, calculate rxy[n] for n = 0 and n = 1.

πŸ’‘ Hint: Keep the shifts in mind for different n values.

Challenge and get performance evaluation