Duplicate Example 16.3, but for 64 points sampled at a rate of t = 0.01 s from the function f (t) = cos[2 (12.5)t]

Duplicate Example 16.3, but for 64 points sampled at a  rate of Δt = 0.01 s from the function

f (t) = cos[2 π (12.5)t] + cos[2 π (25)t]

Use fft to generate a DFT of these values and plot the results.

Example 16.3

Computing the DFT of a Simple Sinusoid with MATLAB Problem Statement. Apply the MATLAB fft function to determine the discrete Fourier transform for a simple sinusoid: f(t) = 5+ cos(2 (12.5)t) + sin(2 (18.75)) Generate 8 equispaced points with At = 0.02 s. Plot the result versus frequency.