Save your MATLAB code with output as a pdf file, and submit it together with your hand$-$

written solution pdf file $($combine$/$merge them into a single pdf file$)$

Problem $10$ points

A set of $7$ data points are given below:

Notice that the $y-$values for the first point and the last point are identical.

$($a$)$ Write a MATLAB code to use Program $7-1$ from the textbook to compute the Discrete Fourier

Transform $($DFT$)$ for the function $y(t).$

Please note

$($i$)$ Example $7-3$ contains an error when calling the program $7-1$: It should be DFT$($t$,$y$),$ not

$)($on page $268).$ This has been discussed in this week's recitation.

$($ii$)$ In Program $7-1,$ the array $f$ has a length of $"2N",$ not $"2N+1",$ as it has used the fact

that $f(1)=f(2N+1)$ when storing the value for $f.$

$($b$)$ Make a table for the coefficients $A_k,B_k($frequency domain analysis$).$ Is there a dominant

frequency?