Pass Minimum Phase Systems Isaac's Science Blog

A system $${\displaystyle \mathbb {H} }$$ is invertible if we can uniquely determine its input from its output. I.e., we can find a system $${\displaystyle \mathbb {H} _{\text{inv}}}$$ such that if we apply $${\displaystyle \mathbb {H} }$$ followed by $${\displaystyle \mathbb {H} _{\text{inv}}}$$, we obtain the identity system $${\displaystyle \mathbb {I} }$$. (See Inverse matrix for a finite-dimensional analog). That is, Minimum phase systems are important because they have a stable inverse g(z) = 1/h(z)

Because the poles and zeros flip roles in the inverse, a. What is the value of the maximum phase margins of the system? A system function h(z) is said to be a minimum phase system if all of its poles and zeros are within the unit circle