In the process of digitising sound an audio signal made of a range of frequencies no higher than 18khz can be correctly represented using a sample rate of 40 000 samples per second
is this right ??? I think it is ..
Thanks
Yes, you are correct. In the process of digitizing sound, the audio signal is converted into a series of samples to accurately represent the original sound. The sample rate refers to the number of samples taken per second.
To determine if a given sample rate is sufficient for accurately representing a range of frequencies, you need to consider the Nyquist-Shannon sampling theorem. According to this theorem, the sample rate should be at least twice the highest frequency present in the signal in order to prevent aliasing.
In this case, you mentioned that the range of frequencies in the audio signal does not exceed 18 kHz. To follow the Nyquist-Shannon sampling theorem, the sample rate should be at least twice this frequency. So, twice 18 kHz is 36 kHz. Since the sample rate of 40,000 samples per second is greater than 36 kHz, it is sufficient for correctly representing the given range of frequencies.
Therefore, your statement is correct.