Numerical - Calculation of Nyquist rate for sampling

Q.  Calculate the Nyquist rate for sampling when a continuous time signal is given by
x(t) = 5 cos 100πt +10 cos 200πt - 15 cos 300πt
- Published on 16 Oct 15

a. 300Hz
b. 600Hz
c. 150Hz
d. 200Hz

ANSWER: 300Hz
 
For the given signal,
f1 = 100π/2π = 50Hz
f2 = 200π/2π = 100Hz
f3= 300π/2π = 150Hz

The highest frequency is 150Hz. Therefore fmax = 150Hz
Nyquist rate = 2 fmax
= 2 * 150
= 300Hz.

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