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Problem 1
Problem 2
Problem 3
Add your contributions to the Fourier Properties page.
Problem 4
Hint: You may run into troubles when computing $ a_0 $ using the general formula $ a_k = \frac1T\int_{T}x(t)e^{-jk\omega_0t}dt $. Instead compute $ a_0 = \frac1T\int_{T}x(t)dt $, then make sure that your Matlab code is not computing $ a_0 $ as something infinite (Inf) or nonexistent (NaN)- Landis
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