# What is the physical meaning of the s-space?

In my audio processing lecture, the term s-space came up.

My instructor basically told us that it's a space where we perform calculations that couldn't be performed otherwise in the time space. Although he also mentioned that the s-space doesn't have a physical meaning or at least none that he is aware of, I'm curious if it has one. How exactly one can describe the s-space physically?

Also do you have a broader explanation for the s-space with some easy to grasp examples?

• I assume you mean the Laplace domain. In short, Laplace transforms are often used to solve certain types of differential equations. Differential equations show up in the context of continuous-time linear time-invariant systems, hence the connection. When it's usable, differential equations in the time domain map to polynomial equations in the Laplace domain, which can often make analysis easier. – Jason R May 7 '15 at 14:24
• This answer on math.SE gives a simple explanation of the Laplace transform. Maybe it helps. – Matt L. May 7 '15 at 15:03