Which of the following transfer functions is/are minimum phase transfer functions
Which of the following transfer functions is/are minimum phase transfer functions(s)?
- $\frac{1}{{(S - 1)}}$
- $\frac{{(S - 1)}}{{(S + 3)(S + 4)}}$
- $\frac{{(S + 2)}}{{(S + 3)(S - 4)}}$
Right Answer is:
None of these
SOLUTION
The transfer functions having no poles or zeros in the left half of the s-plane are minimum-phase transfer functions;. It is the stable transfer function.
The transfer functions having poles and/or zeros in the right-half of the S-plane are non-minimum phase transfer functions.
It can easily be established that a proper rational transfer function is a minimum phase transfer function if all of its zeros lie in the left half s-plane.
Calculation:-
For minimum phase transfer functions, the number of poles and zero must be on the left side of the s-plane and In the given question the transfer functions have at least one pole or zero in R.H.S -plane.