Yes. Nyquist assumes an analog sample of unlimited resolution, not a 16-bit sample. Its application to digital audio is thus, not. Ah, people don't like to talk about this! Or they do but it just turns into a ridiculous argument. But I suggest anyone look into the life of Nyquist:
http://en.wikipedia.org/wiki/Harry_Nyquist
(you will note that Nyquist had no concept of digital audio back when he proposed his sampling theorem)
and
http://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem#The_sampling_process
If you read carefully, you will note that the samples are not defined as '16 bit', instead they are samples of the 'bandwidth-limited' signal, which have an analog value.
Now 16 bits can define a fairly precise value, but that is by no means the same as saying it can define the exact value. Further, the significance of 'bandwidth limited' should not be ignored. Current Redbook specs put the sampling frequency at 44.1KHz, if you think about it, the significance is that anything above about 19-20Khz is ignored. It is not so much that Nyquist is out to lunch that it is that Redbook specs are poorly applied.
The Redbook specs were created in the late 1970s and early 1980s. Seems to me I heard one of the first CD players about 1981. Back then, the IBM PC was king; a $10 cell phone has *considerably* more computing power! IOW, Redbook was **intentionally** limited in order to cope with the limitations of the hardware of the day. It is quite anachronistic that we still take it seriously today...
http://en.wikipedia.org/wiki/Harry_Nyquist
(you will note that Nyquist had no concept of digital audio back when he proposed his sampling theorem)
and
http://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem#The_sampling_process
If you read carefully, you will note that the samples are not defined as '16 bit', instead they are samples of the 'bandwidth-limited' signal, which have an analog value.
Now 16 bits can define a fairly precise value, but that is by no means the same as saying it can define the exact value. Further, the significance of 'bandwidth limited' should not be ignored. Current Redbook specs put the sampling frequency at 44.1KHz, if you think about it, the significance is that anything above about 19-20Khz is ignored. It is not so much that Nyquist is out to lunch that it is that Redbook specs are poorly applied.
The Redbook specs were created in the late 1970s and early 1980s. Seems to me I heard one of the first CD players about 1981. Back then, the IBM PC was king; a $10 cell phone has *considerably* more computing power! IOW, Redbook was **intentionally** limited in order to cope with the limitations of the hardware of the day. It is quite anachronistic that we still take it seriously today...