Find a Fourier series for the function represented by this data set.

y = [1.0668 1.8288 2.7432 3.5662 4.2977 4.6634 2.5908 2.3165 2.6518 3.0785 3.3223 ... 2.6213 0.3200 - 0.5791 - 1.0668 - 1.4326 - 1.4630 - 1.1887 - 0.5182 0.1524 1.0668]

(a) Find a Fourier series for the function represented by this data set. You will have to use some type of nu-merical integration to calculate the Fourier coefficients. Rewrite your Fourier series as

 , and plot Cn vs. n to illustrate the relative size of each term in the series. Choose a value for N=10

Please use matlab FOR LOOPS as needed. Thank you!