Assuming that this process passes through an ideal lowpass, Electrical Engineering

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Assuming that this process passes through an ideal lowpass

X(t) denotes a zero-mean WSS Gaussian random process with power spectral density

1. What is the power in this process?

2. What is the bandwidth of this process?

3. Assuming that this process passes through an ideal lowpass filter with a bandwidth of 50 kHz and the output is denoted by Y(t), determine SY(f), the power spectral density of Y(t), and the total power in the output process.

4. Determine the PDF (probability density function) of the random variable X(0).

5. Find the smallest value of t0 > 0 such that X (0) and X (t0) are independeht.

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Electrical Engineering: Assuming that this process passes through an ideal lowpass

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Electrical Engineering: Assuming that this process passes through an ideal lowpass

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