Question

A linear time invariant system has the following impulse response: h(t) = 2e^{-at}u(t) Use convolution to find the response y(t) to the following input: x(t) = u(t) - u(t - 4) Sketch y(t) for the case when a = 1.

          A linear time invariant system has the following impulse response:
h(t) = 2e^{-at}u(t)
Use convolution to find the response y(t) to the following input:
x(t) = u(t) - u(t - 4)
Sketch y(t) for the case when a = 1.

Added by Elaine C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rachel Gore

Step 1

Step 1: Identify the given impulse response \( h(t) \) and input \( x(t) \): \[ h(t) = 2e^{-at}u(t) \] \[ x(t) = u(t) - u(t-4) \] Show more…

Show all steps

Thanks for your feedback!

A linear time invariant system has the following impulse response: Use convolution to find the response y(t) to the following input: +-)n-()n=()x Sketch y(t) for the case when a = 1.