Practice - Continuous-Time Fourier Transform (CTFT)
Practice Questions
Test your understanding with targeted questions
What does CTFT stand for?
💡 Hint: What is the full meaning of the abbreviation CTFT?
Which part of the CTFT equation represents the original time-domain signal?
💡 Hint: Think about what signal x(t) represents.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the CTFT transform a signal into?
💡 Hint: Think about the main purpose of CTFT.
The imaginary unit j in the CTFT is used to:
💡 Hint: Remember how we integrate signal phase in the CTFT?
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Challenge Problems
Push your limits with advanced challenges
Consider a continuous-time signal x(t) = cos(2πft). Compute its CTFT and describe the result in terms of frequency representation.
💡 Hint: Use the definition of cosine in terms of complex exponentials.
Explain how one might visualize the result of a CTFT for a complex signal composed of multiple sinusoidal components, e.g., x(t) = sin(2π5t) + sin(2π15t).
💡 Hint: Draw the peaks on a graph to represent the magnitude of each frequency component.
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