EC > GATE 2022 > Linear Systems
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?
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?
Correct : c
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