Practice Short-time Fourier Transform (stft) (3.6.1) - Sampling, Reconstruction, and Aliasing: Time and Frequency Domains
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Short-Time Fourier Transform (STFT)

Practice - Short-Time Fourier Transform (STFT)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does STFT stand for?

💡 Hint: Think about the two domains we are analyzing.

Question 2 Easy

What is the purpose of using a window function in STFT?

💡 Hint: It limits the portion of the signal being analyzed.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the STFT analyze?

Signal amplitude over time
Frequency content over time
Phase of the signal

💡 Hint: Focus on what changes within a signal over time.

Question 2

True or False: The STFT can be used for both stationary and non-stationary signals.

True
False

💡 Hint: Consider the definition of stationary vs. non-stationary signals.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a non-stationary signal with changing frequencies, outline how you would use the STFT to analyze this signal and what specific insights you could derive.

💡 Hint: Consider the characteristics of the signal when defining window sizes.

Challenge 2 Hard

Construct and analyze a simple signal: 'x(t) = sin(2π10t) + sin(2π50t) * rect(t)', where 'rect' is the rectangular window function. Calculate its STFT over time.

💡 Hint: Use numerical methods for a practical analysis, especially when dealing with the rect function.

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