Friday, November 23, 2012

Why is 44.1 kHz sampling in CD or digital music file (mp3 or wma, ...)?

Currently famous digital music file use 44.1 kHz sampling rate.
As you know, 
- Normal human being can hear 20 Hz ~ 20,000 Hz sound.
- And from the Nyquist sampling theorem, 
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 The Nyquist sampling theorem provides a prescription for the nominal sampling interval required to avoid aliasing. It may be stated simply as follows:
 The sampling frequency should be at least twice the highest frequency contained in the signal.Or in mathematical terms:
     fs >= 2 * fc
(http://redwood.berkeley.edu/bruno/npb261/aliasing.pdf)
In this reason, in the digital music need only 40 kHz sampling rate.

Why is 44.1 kHz sampling rate used in the world?
It is based on Video Tape,
1. http://www.cs.columbia.edu/~hgs/audio/44.1.html
2.http://en.wikipedia.org/wiki/44,100_Hz