Theory of signals - help needed (critical situation)

[fyplosh]

Hello, exam surprised me in my university, and I really need help. I'm begging on my knees. Please help:

1. Find a Fourier series expansion for periodic function f(t) with period 4 defined for the period -2 < t < 2 by

/ 0 for -2<t<0
f(t) = |
\ 1 for 0<t<=2

2. Find a Fourier series expansion for periodic function g(t) with period 8 defined for the period -4 < t < 4 by

/ 0 for -4<t<0
g(t) = |
\ 1 for 0<t<=4

3. Calculate sum of powers Pf and Pg for all harmonics (components) of f(t) and f(g) respectively, for which the frequencies are <1

4.Compare obtained powers Pt and Pg

 

[cmontoya]

You should be able to find a solid example online for this problem: hint look for the Fourier series expansion of a square wave.