1. Work through the examples above.
2. Generate the spectrum of sin3t and cos3t. Compare with what is expected.
3. Generate the spectrum of cos(20t +5cos(t)). Plot phase points only where the magnitude is significant (say greater than 10−3). What do you think is happening?!
4. The Gaussian exp is not “bandlimited” in frequency. We want to get its spectrum accurate to 6 digits. Try different time ranges, and see what gets you a frequency domain that is so accurate. (The Fourier Transform of a Gaussian is a
Gaussian in ω. Look up the transform pair to confirm)
