HW6F13_sol

5 25 xej 2 4 15 1 05 xej 35 3 0 05 1 25 15 2 2 2 1 0

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Unformatted text preview: jω) 2 1.5 0 −0.5 −1 1 −1.5 0.5 −4 −2 0 ω∈[0,π] 2 −2 −4 4 340 −2 0 ω∈[0,π] 2 4 (b). π 2π n− 3 3 π (n − 2) = DTFT cos 3 π π +δ ω+ = πe−j 2ω δ ω − 3 3 π −j 2π/3 π j 2π/3 = πδ ω − e + πδ ω + e 3 3 X (ej ω ) = DTFT cos 4.5 2.5 |X(ejω)| 2 4 1.5 1 0.5 ∠ X(ejω) 3.5 3 0 −0.5 −1 2.5 −1.5 −2 2 −2 −1 0 ω∈[0,π] 1 −2.5 −2 2 −1 0 ω∈[0,π] 1 2 (c). π π n + 2j · sin n 3 6 π π = DTFT cos n + 2j · DTFT sin n 3 6 π π π π =π δ ω− +δ ω+ + 2π δ ω − −δ ω+ 3 3 6 6 π π π π + 2πδ ω − + πδ ω + − 2π δ ω + = πδ ω − 3 6 3 6 X (ej ω ) = DTFT cos 341 3 5.5 2.5 5 2 ∠ X(ejω) 3.5 6 |X(ejω)| 6.5 4.5 1.5 4 1 3.5 0.5 3 −2 −1 0 ω∈[0,π] 1 0 −1.5 2 −1 −0.5 0 ω∈[0,π] 0.5 1...
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This note was uploaded on 12/01/2013 for the course EE 113 taught by Professor Walker during the Fall '08 term at UCLA.

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