Practice - Scaling (Time Scaling)
Practice Questions
Test your understanding with targeted questions
What happens to the period of a signal when it is scaled by a factor of 2?
💡 Hint: Think about how scaling affects duration.
How does scaling by a factor less than 1 affect the frequency?
💡 Hint: Remember, stretching means longer time to complete the cycle.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the new fundamental period T_0' if the original period T_0 is scaled by a factor of alpha?
💡 Hint: Think about dividing the original period by the scaling factor.
If the angular frequency is omega_0, what is the new angular frequency after scaling?
💡 Hint: Consider how scaling factors affect frequency.
1 more question available
Challenge Problems
Push your limits with advanced challenges
For a signal with a fundamental period of 6 seconds, if we time scale it by a factor of 3, what will be the new period and angular frequency? Also, determine the new association of its Fourier coefficients.
💡 Hint: Break down the problem into steps: first calculate the period, then the frequency, and lastly relate it to the coefficients.
A signal with original frequencies and its Fourier coefficients c_k shows specific values. If time is scaled up by a factor of 0.5, how will the representation of these coefficients change?
💡 Hint: Focus on understanding how scaling alters frequency while coefficients maintain their values.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.