$5\mathrm{.}67$ Determine the minimum$-$phase system whose squared magnitude response is given by:

$($a$)|H(){|}^2=\frac{\frac{5}{4}-cos}{\frac{10}{9}-\frac{2}{3}cos}$

$($b$)|H(){|}^2=\frac{2(1-a^2)}{(1+a^2)-2acos},|a|<mn>1</mn>$

FULLY ANSWER WITH ALL STEPS