GATE EE concept:linear-time-invariant PYQs & Answers

Questions 1–6 of 6. Imported answers require independent review unless marked reviewed.

Consider a discrete-time linear time-invariant (LTI) system

, where

where

is the discrete-time unit impulse function. For an input signal

, the output

Your answerChoose one option.

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The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system

. The output is observed to be the continuous-time unit step signal

. Which one of the following statements is true?

Your answerChoose one option.

Every bounded input signal applied to

results in a bounded output signal.

It is possible to find a bounded input signal which when applied to

results in an unbounded output signal.

On applying any input signal to

, the output signal is always bounded.

On applying any input signal to

, the output signal is always unbounded.

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Two discrete-time linear time-invariant systems with impulse responses

and

are connected in cascade, where

is the Kronecker delta. The impulse response of the cascaded system is

Your answerChoose one option.

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Suppose for input

, a linear time-invariant system with impulse response

produces output

, so that

. Further, if

, which of the following statements is true?

Your answerChoose one option.

For all

For some but not all

For all

For some but not all

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Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation:

Your answerChoose one option.

is unaffected by the values of

The system is necessarily causal.

The system impulse response is non-zero at infinitely many instants.

When

, the function

is solely determined by the function

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The symbols,

and

, represent positive quantities, and

is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system?

Your answerChoose one option.

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GATE EE concept:linear-time-invariant PYQs

How to practice concept:linear-time-invariant

Question 20

Question 42

Question 7

Question 37

Question 39

Question 7