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On 2/14/2011 6:54 AM, Kele wrote:
we know that converting to digital involves rounding to the nearest whole. And if that's indeed what we "knew", we would indeed be wrong. While it seems intuitively correct, it is simply not the case. Any number of sources have been available for long before the advent of the CD demonstrating how this "rounding to the nearest whole" notion is incorrect. Indeed check Blesser's article in the late 1970's as to how any properly implemented digital system can capture information substantially below the "nearest whole." And he was hardly the first to describe a process which was, at that point, a well-understood principle in any number of disciplines. Definitive articles on the principle date back at least to the mid-1960's. Cannot a laser light track a continuous groove (sound wave)? Ask Finial how their turntable is going. Oh, wait, they're out of business, never having sold a one. If the signal didn't have to be converted to mathematics, there can be greater chance to approach live. Again, all due respect, while this might seem an intuitive, comfortable view of how it works, it is naive and simply is not the case. And, using your analogy nonetheless, how is, for example, an analog computer any less "mathematical" than a digital computer? |
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