A square wave is defined by \[x\left( t \right) = \left\{ \begin{gathered}
A,\,0 < t < \frac{{{T_0}}}{2} \hfill \\
- A,\,\frac{{{T_0}}}{2} < t < {T_0} \hfill \\
\end{gathered} \right.\]
It is periodically extended outside this interval. What is the general coefficient an in the Fourier expansion of this wave?
A. 0
B. $$\frac{{2A\left( {1 - \cos n\pi } \right)}}{{n\pi }}$$
C. $$\frac{{2A\left( {1 + \cos n\pi } \right)}}{{n\pi }}$$
D. $$\frac{{2A\left( {1 - \cos n\pi } \right)}}{{\left[ {\left( {n + 1} \right)\pi } \right]}}$$
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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