Write a C program to generate a signal and store it in signal. dat:

$s(n)=2cos[2(\mathrm{.}05)n]+sin[2(\mathrm{.}2)n]$

for $n=0,1,$dots,$255.$

Find the discrete Fourier transform $S(k)$ using a C program

$S(k)={\displaystyle \underset{n=0}{\overset{N-1}{}}}s(n)e^{-j2n\frac{k}{N}}$

for $k=0,1,$dots,$255$ and plot the magnitude spectrum. Choose $N$ to be $256.$

Write a C program to design $16-$point FIR lowpass filters with the cutoff

frequency of $0\mathrm{.}2$ using the rectangular, Hamming, and Blackman windows.

Compute and plot the magnitude and the phase response of each filter. Try $N=$

Write a C program to implement the FIR lowpass filter. Use $s(n)$ of part $1$ as the

input and find the output of the filter. Use the filter designed using the

Hamming window. Plot the input and the output. Just need question $4$ use the equation in Question $1$ to do it