X(t) is a stationary process with the power spectral density Sx(f) > 0 for all f the process is passed to system as shown below

If Sy(f) is P.S.D. of y(t) which of the following statements is correct?

1
Sy(f) > 0 for all f
2
Sy(f) = 0 for |f| > 1 kHz
3
Sy(f) = 0 for f = nfo , fo = 2 kHz, n any integer
4
Sy(f) = 0 for f = (2n + 1)fo = 1 kHz, n any integer

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