6. Fourier Transform and FFT

Try these first

1. 1.

   What does the Fourier Transform do?

   Hint

   Think about how music notes can be separated.

2. 2.

   What is DFT used for?

   Hint

   Consider digital audio signals.

3. 3.

   What does the Fourier Transform do?

   • Decomposes signals into sine and cosine
   • Amplifies signals
   • Only processes audio signals

   Hint

   Consider how sound waves can be analyzed.

4. 4.

   True or False: DFT applies to continuous signals.

   • True
   • False

   Hint

   Think about how signals are sampled.

5. 5.

   How would you apply FFT to a signal contaminated by noise? Describe the steps involved.

   Hint

   Remember the steps of transformation and filtering.

6. 6.

   Imagine you have a signal with frequencies at 60 Hz and 120 Hz. If FFT shows leakage what could be the impact on signal interpretation?

   Hint

   Think about how alignment affects frequency clarity.