Agree with Almarg.
The intent of the "sampling" with digital audio is to sample in a manner that does capture all the relevant information. How well any particular digital format like redbook CD actually accomplishes this in practice is debatable but the intent is to quantify the analog signal sufficently to capture all the relevant information present.
Sampling, or digital quantification of an analog signal in digital signal processing is apples and pranges different than sampling in statistical theory where a relatively small representative sample is used to statistically represent a population as a whole.
I think the overloading of the term "sampling" and how it is different in the context of digital signal processing theory compared to statistical theory is a cause of misunderstanding and confusion in many cases.
The intent of the "sampling" with digital audio is to sample in a manner that does capture all the relevant information. How well any particular digital format like redbook CD actually accomplishes this in practice is debatable but the intent is to quantify the analog signal sufficently to capture all the relevant information present.
Sampling, or digital quantification of an analog signal in digital signal processing is apples and pranges different than sampling in statistical theory where a relatively small representative sample is used to statistically represent a population as a whole.
I think the overloading of the term "sampling" and how it is different in the context of digital signal processing theory compared to statistical theory is a cause of misunderstanding and confusion in many cases.