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A noise process has a power spectral density given by
This noise is passed through an ideal band pass filter with a bandwidth of 2 MHz centered at 50 MHz.
1. Find the power content of the output process.
2. Write the output process in terms of the in-phase and quadrature components, and find the power in each component. Assume f0 = 50 MHz.
3. Find the power spectral density of the in-phase and quadrature components.
4. Now assume that the filter is not an ideal filter and is described by
Repeat parts 1, 2, and 3 with this assumption.
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