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1.

Add a second frequency component to the signal, with frequency 0.2. See what the DFT looks like.

2.

Try out a variety of values for the second frequency, including 0.33, 0.49, 0.6, 0.8, and 0.9.

3.

Write a few paragraphs describing your experiments and what you saw. Include interesting figures. Use the word ``aliasing''.

4.

For one or more of these signals, check Parseval's theorem.