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Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

Feedback

LTI systems in time domain

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For a system with input

x(t)

, let

y(t)

denote the output signal. Which of the following system is linear?

y(t)=x^2(t)

Explanation

y(t)=\sin (x(t))

Explanation

y(t)=5 \cdot x(t)

Explanation

y(t)=x\left(t^2\right)

Explanation

For a system with input

x(t)

, let

y(t)

denote the output signal. Which of the following system is time-invariant?

y(t)=x^2(t)

Explanation

y(t)=t x(t)

Explanation

y(t)=t+x(t)

Explanation

y(t)=x\left(t^2\right)

Explanation

For a system with input

x(t)

, let

y(t)

denote the output signal. Which of the following system is LTI?

y(t)=5+x(t)

Explanation

y(t)=t+x(t)

Explanation

y(t)=x(t-5)

Explanation

d: All of these Explanation

Explanation

Which of the following statement is false?

a: For a linear system, scaling the input proportionately scales the output Explanation

Explanation

b: For an LTI system, impulse response fully describes the system Explanation

Explanation

c: For a time-invariant system, a delay in the input does not change the output Explanation

Explanation

d: For an LTI system, given the impulse response, its step response can be always computed Explanation

Explanation

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