Minimum Phase - Inverse System

Inverse System

A system is invertible if we can uniquely determine its input from its output. I.e., we can find a system such that if we apply followed by, we obtain the identity system . (See Inverse matrix for a finite-dimensional analog). I.e.,

Suppose that is input to system and gives output .

Applying the inverse system to gives the following.

So we see that the inverse system allows us to determine uniquely the input from the output .

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