Use MATLAB@ to solve the following problem

Consider the sequence

$s(n)=2n(-0\mathrm{.}9{)}^n,$;$,n=0,1,2,$dots,$75.$

Encrypted by a noise sequence $d(n)$ for $n0,$ resulting in a measured data sequence $x(n)$ given by

$x(n)=s(n)+d(n)$

The noise sequence $d(n)$ is a normal random sequence $($a mean of $0$ and a variance of $0\mathrm{.}5).$ Reduce the effect of the noise $d(n)$ and get a better estimate of $s(n)$ from $x(n)$ using

Moving average filter $(M=3,5,7,$ and $9).$ Plot and comment on the results. $(25$ pts$.)$

Exponential weighted running average filter $,$ and $0\mathrm{.}9$