Subject : Signals & Systems

Topic : Fourier Series.

Difficulty: Medium

From the figure,

Period of the signal x(t) = T x(t)= \begin{cases} A, & \text{0<x<t 2}="" \[2ex]="" -a,="" &amp;="" \text{t="" 2<x<t}="" \end{cases}<="" p="">

The trigonometric Fourier series equation is given by

$x(t) = a(0) + \sum_{k=1}^∞ a(k) cos⁡(kω_O t)\ +\sum_{k=1}^∞ b(k) sin⁡(kω_O t)\ $

$where a(0) = 1T\int_{\ltT\gt} x(t) \, …