Practice Continuous-Time Fourier Transform (CTFT) - 9.2.1 | 9. Fast Fourier Transform: Review of Fourier Analysis | Digital Signal Processing
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does CTFT stand for?

πŸ’‘ Hint: What is the full meaning of the abbreviation CTFT?

Question 2

Easy

Which part of the CTFT equation represents the original time-domain signal?

πŸ’‘ Hint: Think about what signal x(t) represents.

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 does the CTFT transform a signal into?

  • Time domain representation
  • Frequency domain representation
  • Spatial representation

πŸ’‘ Hint: Think about the main purpose of CTFT.

Question 2

The imaginary unit j in the CTFT is used to:

  • True
  • False

πŸ’‘ Hint: Remember how we integrate signal phase in the CTFT?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a continuous-time signal x(t) = cos(2Ο€ft). Compute its CTFT and describe the result in terms of frequency representation.

πŸ’‘ Hint: Use the definition of cosine in terms of complex exponentials.

Question 2

Explain how one might visualize the result of a CTFT for a complex signal composed of multiple sinusoidal components, e.g., x(t) = sin(2Ο€5t) + sin(2Ο€15t).

πŸ’‘ Hint: Draw the peaks on a graph to represent the magnitude of each frequency component.

Challenge and get performance evaluation