arrow
arrow
arrow
For an LTI system with impulse response h(t), what does the output become when the input is a unit step function?
Question

For an LTI system with impulse response h(t), what does the output become when the input is a unit step function?

A.

The product of the unit step function and h(t)

B.

Convolution of h(t) with the unit step

C.

The sum of h(t) and the unit step function

D.

The difference between h(t) and the unit step function

Correct option is B

For a Linear Time-Invariant (LTI) system, the output y(t) is given by the convolution of the input x(t) with the impulse response h(t):y(t)=x(t)h(t)When the input is a unit step function u(t):y(t)=h(t)u(t)This result is known as the step response of the system.\text{For a Linear Time-Invariant (LTI) system, the output } y(t) \text{ is given by the convolution of the input } x(t) \text{ with the impulse response } h(t): \\[6pt]y(t) = x(t) * h(t) \\[8pt]\text{When the input is a unit step function } u(t): \\[6pt]y(t) = h(t) * u(t) \\[8pt]\text{This result is known as the step response of the system.}​​

test-prime-package

Access ‘BEL’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
test-prime-package

Access ‘BEL’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow