Question

Given a continuous time signal s(t) = 5cos(200 πt). The minimum sampling rate required to avoid aliasing will be

1. 50 Hz
2. 100 Hz
3. 200 Hz
4.

400 Hz

Answer 1

Correct Answer - Option 3 : 200 Hz

Time period, \(T = \frac{{2\pi }}{\omega } = \frac{{2\pi }}{{200\pi }} = \frac{1}{{100}}\)

Frequency, f = 1/T = 100 Hz

Hence the minimum sampling rate required to avoid aliasing = 2f = 200 Hz