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| − | + | '''4.''' Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defined by | |
| + | |||
| + | <math>\,x(t)=\left\{\begin{array}{cc} | ||
| + | 0, & -2<t<-1 \\ | ||
| + | 1, & -1\leq t\leq 1 \\ | ||
| + | 0, & 1<t\leq 2 | ||
| + | \end{array} \right. \,</math> | ||
| + | |||
| + | (Simplify your answer as much as possible.) | ||
| + | |||
| + | |||
| + | == Answer == | ||
Revision as of 14:43, 13 October 2008
4. Compute the coefficients $ a_k $ of the Fourier series of the signal $ x(t) $ periodic with period $ T=4 $ defined by
$ \,x(t)=\left\{\begin{array}{cc} 0, & -2<t<-1 \\ 1, & -1\leq t\leq 1 \\ 0, & 1<t\leq 2 \end{array} \right. \, $
(Simplify your answer as much as possible.)
