Alan$\%205.\%20$Willsky,$\%20$with$\%205.\%20$Hamid$\%20-\%20$Signals$\%20$and$\%20$Systems$\%20-$Prentice$\%20$Hall$\%20(1996$

$367/985$

$116\%$

Chas. $4$ Problems

$341$

$4\mathrm{.}25.$ Let $x(j)$ denote the Fourier transform of the signal $x(i)$ depicted in Figure P$4\mathrm{.}25.($a$)$ Find

$($b$)$ Find $x(jQ).$

$($c$)$ Find ${\displaystyle \underset{-n}{\overset{x}{}}}x(j)d.$

$($d$)$ Evaluate ${\displaystyle \underset{-x}{\overset{}{}}}x(j)\frac{2sin}{}{e}^{j2}d.$

$($e$)$ Evaluate ${|}_{-}^{}|x(j){|}^{2}d||.$

$($f$)$ Sketch the inverse Fowier $$ansform of Ohe $\{x(j)\}.$

Note: You should perform all these calculations without explicitly evaluatung $x(j,a).$

Figure P$4.25$