Signals and Systems

1. Using Euler’s formula, prove the following identities:

a.

b.

c.

d.

e.

f.

2. Determine the periodicity of each of the multi-tone signals given below. For those that are periodic, determine the fundamental period and the fundamental frequency.

a.

b.

c.

d.

3. Determine the normalized energy of each of the signals given below.

a.

b.

c.