Expand the convolution into two terms and exploit the result

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Question: Use linearity and time invariance to determine the step response of a system whose impulse response is the following rectangular pulse:

h(t) = 5u(t - 1) - 5u(t - 4)

(a) Expand the convolution into two terms and exploit the result from Example to get y(t) u(t)* h(t).

(b) Write the answer for y(t)as separate cases over three different regions of the time axis.

Example: Convolve Unit steps

When the impulse response is unit step, h(t) = u(t) and the input is also a unit step, x(t) = u(t), the convolution integral becomes

Reference no: EM131532514

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