What is a minimum phase system?

What do you mean by a "minimum phase system" ?

Thanks in advance.

Minimum phase polynomials have all there zeros inside the unit circle of Complex plane. In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable.

you can check it here;
**broken link removed**

https://www.google.com.pk/url?sa=t&...B05gPoZDDGE2rl3WQ&sig2=vi-d1HUqUvRq0b1LX7DNWw

Qaisar Azeemi said:

Minimum phase polynomials have all there zeros inside the unit circle of Complex plane. In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable.

Click to expand...

Not quite correct.
Minimum phase systems must not have zeros in the right half of the s-plane.
In this case, there is a unique relation between gain response and phase response as a function of frequency.
The question of stability depends on the pole distribution - not on the location of zero's.

Qaisar Azeemi said:

Minimum phase polynomials have all there zeros inside the unit circle of Complex plane. In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable.

Click to expand...

LvW said:

Not quite correct.
Minimum phase systems must not have zeros in the right half of the s-plane.
In this case, there is a unique relation between gain response and phase response as a function of frequency.
The question of stability depends on the pole distribution - not on the location of zero's.

Click to expand...

LvW, you are basically agreeing with Qaisar.

For minimum phase, for continuous-time systems (s-domain), there must be no zeros in the right half plane. For discrete-time systems (z-domain), the equivalent statement is that there must be no zeros outside the unit circle.

If you had zeros in the right half plane (or, for discrete systems, outside the unit circle), then the polynomial's inverse for a causal system would be unstable, because the RHP zeros (or zeros outside the unit circle) would become RHP poles (or poles outside the unit circle). So, the statement that a minimum phase system's inverse must be stable is another way of saying that it shouldn't have RHP zeros (zeros outside unit circle).

hai,
i have one doubt, if the zeros lie on the unit circle, not inside or outside means, is it minimum phase system. how?