Exercise 6: A discrete-time signal x[n] has the two-sided spectrum representation shown below. 3ejx XI 2e-jx/2 2ejn/2 -0.3л x[n] 0.37 9-point AVERAGING FILTER (in radians) a) Write an equation for x[n]. Make sure to express x[n] as a real-valued signal. b) Determine the formula for the output signal y[n]. y[n]

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Exercise 6: A discrete-time signal x[n] has the two-sided spectrum representation
shown below.
2e-jx/2
|
-0.3л
3ejr
2ejπ/2
x[n]
0.3л
9-point
AVERAGING
FILTER
y[n]
(in radians)
a) Write an equation for x[n]. Make sure to express x[n] as a real-valued signal.
b) Determine the formula for the output signal y[n].
Transcribed Image Text:Exercise 6: A discrete-time signal x[n] has the two-sided spectrum representation shown below. 2e-jx/2 | -0.3л 3ejr 2ejπ/2 x[n] 0.3л 9-point AVERAGING FILTER y[n] (in radians) a) Write an equation for x[n]. Make sure to express x[n] as a real-valued signal. b) Determine the formula for the output signal y[n].
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