Question

For a signal within a frequency range 0-3 khz .What is minimum sampling frequency required to reproduce signal to sampling theorem

Answer 1

Answer: 6 kHz

Explanation:

Sampling theorem states that the digital signal captures all the information from continuous signals and can be reproduced if the sampling frequency is greater than or equal to highest frequency of the bandwidth without being distorted.

Here, the bandwidth is given as 0 - 3 k Hz

Highest frequency,

$f_H = 3 kHz$

sampling frequency, fs ≥ 2×3 kHz ⇒fs ≥ 6 kHz

Therefore, minimum sampling frequency = 6 kHz