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Practice over 1000+ GATE-level questions from this topic!

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Q#1 Random Variable and Random Process GATE EC 2017 MCQ +2 marks -0.66 marks

Let X(t) be a wide sense stationary random process with the power spectral density  as shown in Figure (a), where f is in Hertz (Hz). The random process X(t) is input to an ideal lowpass filter with the frequency response  as shown in
Figure (b). The output of the lowpass filter is Y(t).

         

D:\GATE 2017 FInal Files\ECE 2017\ECE 2017- Session 1 Diagram\Q 51 (a).jpg

D:\GATE 2017 FInal Files\ECE 2017\ECE 2017- Session 1 Diagram\Q 51 (b).jpg

Let E be the expectation operator and consider the following statements:

I. E(X(t)) = E(Y(t))

II.  

III.

Select the correct option:

only I is true

only II and III are true

only I and II are true

only I and III are true

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Network Analysis 273 0 0
Electronic Devices 224 0 0
Analog Electronics 395 0 0
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EMFT - ECE 273 0 0
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