Problem 16.016 - Find the DFT and plot it using MATLAB

Use the fft function to compute the DFT for the following function:

f(t)=1.5+1.8cos(2(12)t)+0.8sin(2(20)t)1.25cos(2(28)t)f(t)=1.5+1.8cos(2(12)t)+0.8sin(2(20)t)-1.25cos(2(28)t)

Take n = 64 samples with a sampling frequency of f_s = 128 samples/s. Have your script compute values of t, t_n, f, f_min, and f_max. Also, generate plots using the script. (Round t and t_n to three decimal places and f, f_min, and f_max to the nearest whole number.)

The value of t = ___s/sample.

The value of t_n = ___s.

The value of f = ___sample²/s.

The value of f_min = ___Hz.

The value of f_max = ___Hz.