# Is it theoretically possible to perfectly quantize a continuous signal?

So, I'm completely new to digital signal processing, but while reading a piece this morning about quantization it got me daydreaming: could a machine ever be fast enough to sample the position and amplitude of each particle that makes up a wave?

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Why would you want to? All you're measuring is thermal noise. – endolith Nov 18 '14 at 14:35

This translates to sampling frequency of $1.855 \times 10 ^ {43} \mathtt{Hz}$ ($18.55$ tredecillion hertz). Personally I believe that machines will never be so fast. Obviously we can limit our assumptions to more realistic ones.
Wow, so considering a computer running a 1 GHz processor is $1 \times 10^{9} \mathtt{Hz}$ then we've got some ways to go! – armadadrive Aug 12 '14 at 13:00