1. function For the continuous-time system is described by the following impulse h(t) = e-²tu(t - 2) a) Is this system stable? Please show why or why not? b) Using convolution, if a unit-step x(t) 2u(t) is input into this system, what is the output y(t) of the system? Please sketch both h(t – λ) and x(1) (or h(2) and x(t - 2)) and clearly identify all of the case(s) for the y(t) output convolution. =

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1.
function
For the continuous-time system is described by the following impulse
h(t) = e-²tu(t - 2)
a) Is this system stable? Please show why or why not?
b) Using convolution, if a unit-step x(t)
2u(t) is input into this system, what is the
output y(t) of the system? Please sketch both h(t – λ) and x(1) (or h(2) and
x(t - 2)) and clearly identify all of the case(s) for the y(t) output convolution.
=
Transcribed Image Text:1. function For the continuous-time system is described by the following impulse h(t) = e-²tu(t - 2) a) Is this system stable? Please show why or why not? b) Using convolution, if a unit-step x(t) 2u(t) is input into this system, what is the output y(t) of the system? Please sketch both h(t – λ) and x(1) (or h(2) and x(t - 2)) and clearly identify all of the case(s) for the y(t) output convolution. =
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