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Unformatted text preview: “copies” of X ( ωkω s ) (signifying aliasing), as shown in the left Fgure below. X p ( ω ) is shown in the right Fgure. X p ( ω ) is plotted below:321 1 2 3 1/Ts321 1 2 3 1/Ts 2/Ts ω X p ( ω ) (b) Plot X R ( ω ) = F{ x R ( t ) } . Solution: We have that X R ( ω ) = H ( ω ) X p ( ω ), where the Flter, H ( ω ) ampliFes everything in the range ω ∈ [3 2 , 3 2 ), and attenuates everything else to zero. The left Fgure below shows H ( ω ) and X p ( ω ) on the same axis; the Fgure to the right plots X R ( ω ).321 1 2 3 1/Ts 2/Ts Ts ω321 1 2 3 0.5 1 1.5 2 ω R 2...
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 Spring '06
 V."Ragu"Balakrishnan
 Digital Signal Processing, TS, Nyquist–Shannon sampling theorem

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