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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Fourier Transform of a real decaying exponential signal?
π‘ Hint: Consider the integral of the exponential function.
Question 2
Easy
State the definition of a complex exponential signal.
π‘ Hint: Think of how you express a signal in relation to frequency.
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 Fourier Transform of a decaying exponential signal?
- 1 / (a + jΟ)
- 2Ο * Ξ΄(Ο - Ο0)
- e^(βat)
π‘ Hint: Remember the standard form of the Fourier Transform.
Question 2
True or False: The Fourier Transform of a complex exponential signal results in a continuous function.
- True
- False
π‘ Hint: Consider the essence of how impulses are represented in frequency.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For the signal x(t) = e^(-3t)u(t), compute its Fourier Transform, and discuss the implications of the bandwidth observed.
π‘ Hint: Remember to perform the integral transformation over the appropriate limits.
Question 2
Consider a signal defined as the linear combination of two complex exponentials. How would you express its Fourier Transform?
π‘ Hint: Think about summation of frequency responses from individual components.
Challenge and get performance evaluation