Finding minimum-phase/allpass of transfer function

1. What is all-pass and minimum phase system?
2. What is minimum phase and non-minimum phase transfer function?
3. What is the phase of all-pass filter?

What is all-pass and minimum phase system?

This means that the minimum-phase system is a system where both the system and its inverse are causal and stable. An allpass system is a system whose frequency response magnitude is constant for all frequencies, i.e., |H(ejω )| = c, ω ∈ [−π, π]. 1 − rejθe−jω ) .

What is minimum phase and non-minimum phase transfer function?

Transfer functions having neither poles nor zeros in the right-half s plane are minimum-phase transfer functions, whereas those having poles and/or zeros in the right-half s plane are nonminimum-phase transfer functions.

What is the phase of all-pass filter?

In comparison to the previously discussed filters, an all-pass filter has a constant gain across the entire frequency range, and a phase response that changes linearly with frequency. Because of these properties, all-pass filters are used in phase compensation and signal delay circuits.