The signal x[n] with DTFT X(w) shown below is passed through the cascade of an upsampler and downsampler as shown. X(0) @ x[n] 3 -π77 -1/2 π/2 π ↑2 ➤y[n] (a) Sketch the DTFT of y[n]. (b) Repeat if the upsampler and downsampler are cascaded in the opposite order.
The signal x[n] with DTFT X(w) shown below is passed through the cascade of an upsampler and downsampler as shown. X(0) @ x[n] 3 -π77 -1/2 π/2 π ↑2 ➤y[n] (a) Sketch the DTFT of y[n]. (b) Repeat if the upsampler and downsampler are cascaded in the opposite order.
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![The signal x[n] with DTFT X(w) shown below is passed through the cascade of
an upsampler and downsampler as shown.
X(0)
@
x[n]
3
-π77 -1/2
π/2
π
↑2
➤y[n]
(a) Sketch the DTFT of y[n].
(b) Repeat if the upsampler and downsampler are cascaded in the opposite order.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec7b2080-5eab-4ee3-923b-61337d983a3a%2Fb4160e1b-ce20-43cc-be41-8f50cf2559df%2Fhu140kn_processed.png&w=3840&q=75)
Transcribed Image Text:The signal x[n] with DTFT X(w) shown below is passed through the cascade of
an upsampler and downsampler as shown.
X(0)
@
x[n]
3
-π77 -1/2
π/2
π
↑2
➤y[n]
(a) Sketch the DTFT of y[n].
(b) Repeat if the upsampler and downsampler are cascaded in the opposite order.
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