EEL5701: HW#2

Due Tuesday, May 27 at the beginning of class, late homework will not be accepted. You do not need to use a computer for any of these problems.

Do all of the following problems. All but the first two are in O&S. Justify all of your answers.

• Prove that the real part of the discrete-time Fourier Transform is even for a real sequence x[n].
• Prove that the magnitude of the discrete-time Fourier Transform of a real sequence x[n] is even.
• 3.1
• 3.3
• 3.5
• 3.11
• 3.13
• 3.16
• 3.18
• 3.19