Computer Science – Text, sound and images | e-Consult

To accurately reproduce a 2 kHz tone, the sample rate must be greater than twice the highest frequency to be accurately represented. This is based on the Nyquist-Shannon sampling theorem.

Therefore, the minimum sample rate required is 2 * 2 kHz = 4 kHz. However, to avoid aliasing, the sample rate should be significantly higher than the highest frequency of interest. A sample rate of 8 kHz is higher than 4 kHz, so it is sufficient to reproduce a 2 kHz tone accurately. If the sample rate were lower than 4 kHz, aliasing would occur, resulting in a distorted and inaccurate representation of the 2 kHz tone. Aliasing happens when frequencies above the Nyquist frequency (half the sample rate) are incorrectly interpreted as lower frequencies.