engineering recuitment GATE ECE 2023-24 Test Series Communication Systems Random Processes Correlation and Power Spectral Density
The frequency response H(f) of a linear time-invariant system has magnitude as shown in the figure.
Statement I: The system is necessarily a pure delay system for inputs which are bandlimited to −α ≤ f ≤ α.
Statement II: For any wide-sense stationary input process with power spectral density SX(f), the output power spectral density 𝑆Y(f) obeys SY(f) = SX(f) for −α ≤ f ≤ α. Which one of the following combinations is true?
1
Statement I is correct, Statement II is correct
2
Statement I is correct, Statement II is incorrect
3
Statement I is incorrect, Statement II is correct
4
Statement I is incorrect, Statement II is incorrect