# 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)?
1. $\frac{1}{{(S - 1)}}$
2. $\frac{{(S - 1)}}{{(S + 3)(S + 4)}}$
3. $\frac{{(S + 2)}}{{(S + 3)(S - 4)}}$
Select the correct answer using the codes given below:

### 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.

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