Consider three sinusoids with the following amplitudes and phases:
a. Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is, x(n) = x1(n) x2(n) þ x3(n), using a sampling rate of 8,000 Hz. Plot x(n) over a range of 0.1 seconds.
b. Use the MATLAB function fft() to compute DFT coefficients, and plot and examine the spectrum of the signal x(n).