I have the following code:

```
syms z
Gc=1.582*(1-0.3679*z^-1)/(1+.418*z^-1);
Ghp=.3679*(z^-1)*(1+.718*z^-1)/((1-z^-1)*(1-.3679*z^-1));
T=(Gc*Ghp)/(1+Gc*Ghp);
clipboard('copy', latex(simplifyFraction(T)));
```

Which results in following for `T`

:

How can I normalise coefficients? I.e. I want the z^{2} in denominator and z in numerator to have the coefficient of 1. Is there any function in Matlab to do so?

Answer:

You can extract the numerator and denominator with `numden`

, then get their coefficiens with `coeffs`

, normalize the polynomials, and divide again.

```
[n,d] = numden(T);
cn = coeffs(n);
cd = coeffs(d);
T = (n/cn(end))/(d/cd(end));
```

The output of `latex(T)`

(note: no `simplifyFraction`

now; it would undo things):

Of course this isn't *equal* to your fraction, since I in effect multiplied it by `cd(end)/cn(end)`

. Depending on your purposes, you can either

- keep the constant coefficient
`cn(end)/cd(end)`

separately in your computation, or - use
`(cn(end)/cd(end))*((n/cn(end))/(d/cd(end)));`

to put it back in. Unfortunately, Matlab is too eager to combine the two fractions into one, but you can still see the normalized polynomials.

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