The Z-transform does to discrete-time signals and systems what the Laplace transform does to a continuous-time signals and systems.

Continue reading “Discrete-time systems and the Z-transform. Part I”# Tag: impulse response

## The impulse response

So you wonder how impulse responses are born? They are born out of linearity.

Continue reading “The impulse response”## Is that a constant? Or is it a delta?

This might be a stupid question.. but oh well. So the inverse laplace of a constant is the dirac delta function times the constant.

With a proportional controller, K(s) = Kp, the inverse laplace of the controller would be the delta function. Is the delta function asymptotically stable?

Anonymous

As it turns out, this is not a stupid question at all! It hits right at the heart of what is and how to represent a dynamic system.

Continue reading “Is that a constant? Or is it a delta?”