Given the following step response of a circuit:
step(t)= 0, t<-2
= (t+2)^2, -2<t<0
= 4, t>0
(a) Carefully sketch and label the natural response of this circuit.
I know that step(t) + nat(t) = H(s)
w/ nat(t) being a special case of the step response (w/ a final value of zero)
I would have determined nat(t) = H(s) - step(t)
However, the transfer function wasn't given.
Is there a way to determine it given just the step response? Or is there another possible way to solve this problem?
Any help is appreciated. My thanks in advance.
step(t)= 0, t<-2
= (t+2)^2, -2<t<0
= 4, t>0
(a) Carefully sketch and label the natural response of this circuit.
I know that step(t) + nat(t) = H(s)
w/ nat(t) being a special case of the step response (w/ a final value of zero)
I would have determined nat(t) = H(s) - step(t)
However, the transfer function wasn't given.
Is there a way to determine it given just the step response? Or is there another possible way to solve this problem?
Any help is appreciated. My thanks in advance.