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Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

Feedback

LTI systems in time domain

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Intermediate

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For a system with input

x[n]

, let

y[n]

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

y[n]=x^2[n]

Explanation

y[n]=\sin (x[n])

Explanation

y[n]=5 \cdot x[n]

Explanation

y[n]=x\left(n^2\right)

Explanation

For a system with input

x[n]

, let

y[n]

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

y[n]=x^2[n]

Explanation

y[n]=n x[n]

Explanation

y[n]=n+x[n]

Explanation

y[n]=x\left(n^2\right)

Explanation

For a system with input

x[n]

, let

y[n]

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

y[n]=5+x[n]

Explanation

y[n]=n+x[n]

Explanation

y[n]=x[n-5]

Explanation

d: All of these Explanation

Explanation

If the impulse response of a system is

\delta[n] + \delta[n-5]

, then its step response is given by

u[n]+u[n+5]

Explanation

u[n]+u[n-5]

Explanation

u[n]-u[n-5]

Explanation

u[n]-u[n+5]

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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