Consider the periodic function P$($t$)($square pulse$)$ shown in Figure $1.$

Find the Fourier series approximation of P$($t$)$

For the particular case where thou$=\{$T$\}/\{2\}$

$-$ Draw the discrete spectrum of P$($t$)$

$-$ Using Parseval's theorem, find how many harmonics are needed to represent $95\%$ of this signal power?

$-$ Find the Fourier series coefficients of P$($t$-$a$)$