GATE ECE LTI systems PYQs & Answers

Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.

A causal and stable LTI system with impulse response

produces an output

for an input signal

. A signal

is applied to another causal and stable LTI system with impulse response

. The resulting output is ______.

Your answerChoose one option.

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For a causal discrete-time LTI system with transfer function

which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

The system is stable.

The system is a minimum phase system.

The initial value of the impulse response is 2.

The final value of the impulse response is 0.

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A continuous time signal

is sampled at a rate of 15 Hz. The sampled signal

when passed through an LTI system with impulse response

produces an output

. The expression for

is ______.

Your answerChoose one option.

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The frequency response

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

Statement II: For any wide-sense stationary input process with power spectral density

, the output power spectral density

obeys

for

Which one of the following combinations is true?

Diagram for Electronics and Communication Engineering question 23

Your answerChoose one option.

Statement I is correct, Statement II is correct

Statement I is correct, Statement II is incorrect

Statement I is incorrect, Statement II is correct

Statement I is incorrect, Statement II is incorrect

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The outputs of four systems (

, and

) correspond to the input signal

, for all time

, are shown in the figure.

Based on the given information, which of the four systems is/are definitely NOT LTI (linear and time-invariant)?

Diagram for Electronics and Communication Engineering question 46

Your answerSelect all correct options. You can choose more than one.

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GATE ECE LTI systems PYQs

How to practice LTI systems

Question 21

Question 24

Question 48

Question 23

Question 46