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原帖由 jjx01 于 2007-12-26 17:59 发表 : b+ c3 k* p5 N: [0 n" Q2 I2 v
》大家看上面这张图,2倍的采样率完好的重现了源信号1 q% m* f, [2 ^- L8 G
$ R, ]" Y$ d, x9 y% W正弦线最后变成了三角形组合……, u$ C! Z+ Z0 T
* X, H+ g, T# @) n44。1也不是刚好是20的两倍……
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6 G0 i v- J2 B$ f1 c9 OWhy 44100? Why not make it a round decimal value like 44000, or a round binary quantity like 44032? Why not 32KHz or 48KHz? In general, the human ear can hear tones out to about 20KHz. According to a smart fellow named Nyquist, you have to sample at twice that rate. Because of imperfections in filtering, you actually want to be a little above 40KHz. According to John Watkinson's _The Art of Digital Audio_, 2nd edition, page 104, the choice of frequency is an artifact of the equipment used during early digital audio research. Storing digital audio on a hard drive was impractical, because the capacity needed for significant amounts of 1 Mbps audio was expensive. Instead, they used video recorders, storing samples as black and white levels. If you take the number of 16-bit stereo samples you can get on a line, and multiply it by the number of recorded lines in a field and the number of fields per second, you get the sampling rate. It turned out that both NTSC and PAL formats (the video standards used in US/Japan and Europe, respectively) could handle a rate of 44100 samples per second. This rate was carried over into the definition of the compact disc. 4 h D( h7 ]( F9 v( }6 y- v
另外,虽然不是正好的两倍,但采样出来也是和零差不多了。 |
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