D/A and A/D | Digital Show and Tell (Monty Montgomery @ xiph.org)
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Further reading 2
Where does an error in precision matter? →An approximation has to be judged at the output where it will be used. Compare how the two demonstrations distinguish useful accuracy from unnecessary precision.Which frequencies are present, and how was the signal recorded? →A Fourier transform describes a signal by frequency. Sampling and quantization describe how a signal is measured and encoded. They answer different questions.
Caption notes
Band-limited signals can be reconstructed smoothly from samples. Oscilloscope demonstrations distinguish sampling from quantization and explain what dither changes.
Original passages · 6
it's only got a value right at each instantaneous sample pointthere's only one band limited signal that passes exactly through each sample pointdither is specially constructed noise that substitutes for the noise produced by simple quantizationthe signal is already band limited band limiting it again doesn't do anythinga sampled signal is entirely differentthe sampling step is perfect it loses nothing