Laplace Transform. (in: DSP and Plugin Devel…)

By: mystran
31 Mar 16:52

What do you mean by “closed form”?

If it’s a linear system, then write in [url=https://en.wikipedia.org/wiki/State-space_representation#Linear_systems]space-space form and you can get the transfer function as:
C*((Is-A)^-1)*B+D for continuous-time (state-variables are integrators) or
C*((Iz-A)^-1)*B+D for discrete time (state-variables are unit delays).

If it’s a circuit, then you can also observe that in “modified nodal analysis” the “MNA matrix” is really the same thing as the (Is-A) matri…

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