2 ms·
I think you misunderstand sampling theory. Sampling theory allows the sampling and recreation of ALL information, not just the 44100 samples, but datapoints in
by aquarium87 4y ago
I think you misunderstand sampling theory. Sampling theory allows the sampling and recreation of ALL information, not just the 44100 samples, but datapoints in between. Sorry about the potential bad formatting, it's from a pdf.
"By contrast, the waveform reconstruction
process – digital-to-analogue conversion – is not
so simple. In an ideal world it would be achieved
by generating an impulse of appropriate amplitude
for each sampling point and passing the train of
regularly spaced impulses through an ideal low-pass
filter with its passband upper edge set to half the
sampling rate. The impulse response of such a filter
is the sinc function, so each impulse would generate
a sinc waveform of the necessary amplitude, and
the train of sinc functions would sum to recreate
the original waveform.
This is illustrated in Fig 2, which shows six
successive sinc functions of different amplitude
and their sum (the black trace). Each sinc function
contributes nothing to the summed signal amplitude
at other sampling points, but does contribute to the
waveform between the sampling points. It’s a common
misunderstanding of sampling to suppose that the
waveform between sampling points is unknowable
but that is not true – provided that the input signal
is bandlimited and sampled at least twice as fast
as its highest component frequency, as required
by the Shannon sampling process. In that case
the waveform between sampling points can be
reconstructed unambiguously.
Importantly, the wave shape depends not just on the value of nearby
samples but, ultimately, on the pattern of samples
throughout the sampled signal" [1]
[1] https://drive.google.com/open?id=1QhJo_Rh8sQsItFvJ1g-MnNlg9pBR6oja https://drive.google.com/open?id=1QhJo_Rh8sQsItFvJ1g-MnNlg9p...
Or click the link here: https://chordelectronics.co.uk/explained-rob-watts-filter-technology-in-chord-electronics-dacs https://chordelectronics.co.uk/explained-rob-watts-filter-te...