Please implement $$separate$\_$frequency.m$$

Please do this in Matlab.

The pseudocode is provided below for "separate$\_$frequency.m$"$ and "lab$04.$m$",$ but please help implement "separate$\_$frequency.m$"$

separate$\_$frequency.m

function $[$low$\_$pass$\_$img, high$\_$pass$\_$img$]=$

separate$\_$frequency$($img$,$ ratio$)$

$\%\%$ apply FFT

frequency$\_$map $=$ fft$2($img$)$;

$\%\%$ shift the frequency map

$\%\%$ compute low$-$frequency mask

$\%\%$ separate low$-$frequency and high$-$frequency maps

$\%\%$ shift frequency maps back

$\%\%$ apply Inverse FFT

low$\_$pass$\_$img $=$ real$($ifft$2($frequency$\_$map$))$;

high$\_$pass$\_$img $=$ real$($ifft$2($frequency$\_$map$))$;

end

Lab$04.$m

$\%\%$ Task $1$: Split Frequency

img $=$ im$2$double$($imread$(\text{'}$images$/$lena$.$jpg$\text{'}))$;

ratio $=0\mathrm{.}1$;

$[$low$\_$pass$\_$img, high$\_$pass$\_$img$]=$separate$\_$frequency$($img$,$ ratio$)$;

imwrite$($low$\_$pass$\_$img, 'lena$\_$low$\_$pass.jpg$\text{'})$;

imwrite$($high$\_$pass$\_$img $+0\mathrm{.}5,$ 'lena$\_$high$\_$pass.jpg$\text{'})$;