6-1 Output from FIR system given input spectrum PROBLEM: A discrete-time signal x[n] has the two-sided spectrum representation shown below. Bein 2ejn/2 9-point AVERAGING FILTER 2e-ja/2 x[n] y[n] -0.37 0.37 ôo (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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Author:James Kurose, Keith Ross
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6-1 Output from FIR system given input spectrum
PROBLEM:
A discrete-time signal x[n] has the two-sided spectrum representation shown below.
Bein
9-point
AVERAGING
FILTER
2e-ja/2
2eir/2
x[n]
y[n]
-0.37
0.3n
ô (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:6-1 Output from FIR system given input spectrum PROBLEM: A discrete-time signal x[n] has the two-sided spectrum representation shown below. Bein 9-point AVERAGING FILTER 2e-ja/2 2eir/2 x[n] y[n] -0.37 0.3n ô (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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