$2$

$.$

$$For a one dimensional image of

$8$

$$pixels$,$ having the gray color values

$[$

$0$

$,$

$1$

$2$

$8$

$,$

$2$

$0$

$0$

$,$

$2$

$5$

$5$

$,$

$2$

$4$

$0$

$,$

$1$

$8$

$0$

$,$

$5$

$0$

$,$

$0$

$]$

$,$

$$Write a small program, using the programming language of your choice, to compute the coefficients

$($

weights

$)$

$$F

$($

u

$)$

$$for all of the pixels' frequency components

$($

for u

$=$

$0$

$$

$7$

$)$

$.$

$$Show the commented program source code and results.

$($

suggest C

$+$

$+$

$$language

$)$

$$

Write a small program using the programming language of your choice to compute the pixel color values f

$($

r

$)$

$,$

$$given the values generated in part c above.please Separate them $($to compute the coefficients$)($to compute the pixel color values f$($r$),)$