Assume that vt is sampled and transmitted How fast the volta

Assume that v(t) is sampled and transmitted. How fast the voltage should he sampled he recovered it the receiver? V(t) = 3 sin(3000t) + sin(5000t) + 4sin(15000t) + 3 sin (27000)t

Solution

For a succeeful sampling and representation the sampling frequency must satisfy the Nyquist criteria. that is the sampling frequency must be greater than or atleast equal to 2 times that of maximum frequency.

the maximum frequency in the given frequencies is 27000/2pi = 4297.18 Hz. so the minimum sampling frequency required is 2*max frequency = 8594.36 Hz. to recover the signal the sampling rate must be atleast 8594.36 Hz