An Original $8 \times 8$ Color "Checkerboard $\mathrm{CMY}$ Image Is Shown Below in Which the Two Colors Are

Essay

An original $8 \times 8$ color "checkerboard" $\mathrm{CMY}$ image is shown below in which the two colors are $\mathrm{C} 1:(\mathrm{C}=255, \mathrm{M}=155$ , $\mathrm{Y}=255)$ and $\mathrm{C} 2:(\mathrm{C}=\mathrm{M}=\mathrm{Y}=100)$ , where $[0 . .255]$ is the range for the three color components. You are asked to convert the color CMY image to YIQ images using 4:1:1 chroma subsampling. (In subsampling, you should use an averaging method so you are not selectively throwing away information from certain pixels.)
(a) Show all pixel values of each of the YIQ images generated from the given CMY color image.
(b) Besides their low resolution, do the chrominance images maintain enough information in this case? What does this tell?
Note: The relationship between RGB and YIQ is approximately:
$\left[\begin{array}{l}Y \\I \\Q\end{array}\right]=\left[\begin{array}{rrr}0.3 & 0.6 & 0.1 \\0.6 & -0.3 & -0.3 \\0.2 & -0.5 & 0.3\end{array}\right]\left[\begin{array}{l}R \\G \\B\end{array}\right]$