Practice Frequency Shifting - 11.3.3 | 11. Fourier Transform and Properties | Mathematics (Civil Engineering -1)
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is frequency shifting?

💡 Hint: Think about how signals change in a communication system.

Question 2

Easy

Name a field where frequency shifting is applied.

💡 Hint: Consider areas that involve signal manipulation.

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 happens to the frequency spectrum when a signal is multiplied by a complex exponential?

  • It increases in amplitude.
  • It shifts in frequency.
  • It becomes distorted.

💡 Hint: Recall the principle of frequency shifting.

Question 2

True or False: Frequency shifting changes the original time-domain signal.

  • True
  • False

💡 Hint: Consider the effects of the transform.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A signal with a frequency of 500 Hz is multiplied by $e^{i2 rac{π}{5}t}$. What is the new frequency?

💡 Hint: Add the frequency component from the complex exponential.

Question 2

Construct a scenario where improper frequency shifting might lead to interference. Discuss the implications.

💡 Hint: Consider the existing frequencies in the target area.

Challenge and get performance evaluation