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 .

Read more about this topic:  Minimum Phase

Famous quotes containing the words inverse and/or system:

    Yet time and space are but inverse measures of the force of the soul. The spirit sports with time.
    Ralph Waldo Emerson (1803–1882)

    All who wish to hand down to their children that happy republican system bequeathed to them by their revolutionary fathers, must now take their stand against this consolidating, corrupting money power, and put it down, or their children will become hewers of wood and drawers of water to this aristocratic ragocracy.
    Andrew Jackson (1767–1845)