GATE ECE 2019 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Let the state-space representation of an LTI system be

where

are matrices,

is a scalar,

is the input to the system, and

is its output. Let

and

. Which one of the following options for

and

will ensure that the transfer function of this LTI system is

Your answerChoose one option.

and

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A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density

. Binary signaling, with

and

, is used for the transmission, along with an optimal receiver that minimizes the bit-error probability. Let

form an orthonormal signal set. If we choose

and

, we would obtain a certain bit-error probability

. If we keep

, but take

, for what value of

would we obtain the same bit-error probability

Your answerChoose one option.

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The quantum efficiency (

) and responsivity (

) at a wavelength

(in

) in a p-i-n photodetector are related by

Your answerChoose one option.

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2019 · Paper 1