Generate and plot a sampled sine wave with f_{s}=8kHz, of 4 seconds duration, with frequency ω_{0} = Π/10 and amplitude A = 1.2. The waveform equation is
x(n) = A sin nω
Explain the role of each of the variables in this equation. What is the true (Hertz) fre- quency generated in this case?
Generate a Gaussian random signal vector, v(n), of the same length. Then generate a noisy signal of the form
y(n) = x(n) + αv(n)
(2) Listen to the resulting signal y(n) for various values of α. You will have to choose the value of α experimentally - try both small and large, and investigate the differences. Plot one of the waveforms, and comment briefly on your results.