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**algorithm** Hi

A simple filter has the Laplace transform

H(s) = 1/(s + 1)

This gives its time-domain impulse response, h(t), as a decaying exponential:

h(t) = exp[-t] * (Heaviside step function)

I want to find the inverse impulse response, h_inv(t). To do this, I first take the reciprocal of H(s):

G(s) = reciprocal of H(s) = 1/H(s) = s + 1

Now, to find h_inv(t), I need to take the inverse Laplace transform of G(s). The difficulty I'm having is working out the inverse transform of s.

Have I done something wrong...?

Thanks.