Alpha Filtering

Use the following code to answer these questions:

$($Note the initial value of z$)$

float alphaFilter$($float y$)\{$

$$float alpha $=0\mathrm{.}75$;

$$static float z $=10$;

$$z $=$ alpha$*$z $+(1-$alpha$)*$y;

$$return z;

$\}$

float measurementGate$($float y$)\{$

$$static float z $=10$;

$$if$($abs$($z$-$y$)<8)\{$

$$z $=$ alphaFilter$($y$)$;

$\}$

$$return z;

$\}$

$1418.$

Given the samples:

y$1=1,$y$2=5,$y$3=25,$y$4=15,$y$5=18$

What will the measurement gate output after each sequential input?

y$1$

$$

y$2$

$$

y$3$

$$

y$4$

$$

y$5$

$$