GATE ECE 2018 Paper 1 — page 17

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

The input

is fed to a Hilbert transformer to obtain

, as shown in the figure below:

Here

. The value (accurate to two decimal places) of

is ______.

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A random variable

takes values

and

with probabilities

and

, respectively. The noisy observation of

, where

has uniform probability density over the interval

and

are independent. If the MAP rule based detector outputs

then the value of

(accurate to two decimal places) is ______.

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For a unity feedback control system with the forward path transfer function

The peak resonant magnitude

of the closed-loop frequency response is 2. The corresponding value of the gain

(correct to two decimal places) is ________.

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2018 · Paper 1