What is the Nyquist rate of X(t) = 4 + 2 cos (200πt + π/3) + 3 sin (10000πt) ?
Consider the analog signal [math]x (t) = 4 + 2 \cos \left(\frac{200}{\pi} t + \frac{\pi}{3}\right) + 3 \sin \left(\frac{10000}{\pi} t \right)[/math]. If [math]x(t)[/math] is sampled at [math]f_s = 8000[/math] samples/sec, what is the resulting discrete time signal?