11.3.4 - Time Scaling
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Practice Questions
Test your understanding with targeted questions
What happens to a function when it is scaled in time by a factor of 2?
💡 Hint: Remember how speed affects time duration.
Write the formula for the Fourier Transform of a time-scaled function.
💡 Hint: Think about how the scaling factor appears in the equation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the effect of scaling a function in time?
💡 Hint: Think about how speeding up a signal affects its tone.
Time scaling contracts the signal in the time domain and what occurs to the frequencies?
💡 Hint: Consider how shorter durations relate to higher pitches.
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Challenge Problems
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Let f(t) = sin(t). Apply a time scaling of 'a=3/2'. Derive the new Fourier Transform.
💡 Hint: Focus on multiplying with the scaling factor.
In a civil engineering context, analyze how a time-scaling adjustment for response data in a seismic event could change interpretation of results.
💡 Hint: Think about the implications of observing quicker oscillations.
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