3. The signal x[n] has spectrum X(ej«) as shown below. X(e jo) 1/2. 4. -T (i) Using geometry, determine the value of x[0]. (ii) By integration, determine the value of the energy Ex. (iii) Using a...


3. The signal x[n] has spectrum X(ej«) as shown below.<br>X(e jo)<br>1/2.<br>4.<br>-T<br>(i) Using geometry, determine the value of x[0].<br>(ii) By integration, determine the value of the energy Ex.<br>(iii) Using a known result, write an equation for x[n]. Simplify your answer, distinguishing<br>between the cases n =<br>0, n + 0 even, and n # 0 odd.<br>(iv) Using the graph of X(ej0,0dd "/>
Extracted text: 3. The signal x[n] has spectrum X(ej«) as shown below. X(e jo) 1/2. 4. -T (i) Using geometry, determine the value of x[0]. (ii) By integration, determine the value of the energy Ex. (iii) Using a known result, write an equation for x[n]. Simplify your answer, distinguishing between the cases n = 0, n + 0 even, and n # 0 odd. (iv) Using the graph of X(ej"), determine the value of E x[n] n=-00 (v) Using (iii) and (iv), determine the value of S = n2 n>0,0dd

Jun 10, 2022
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