As per Monty video: this is totally incorrect. The representation is wrong. The samples value is only correct for the exact moment in time it was measured at. The sample values before or after that sample moment are unknown. Therefore we cannot use staircases to represent digital audio samples.
No, it is totally correct, albeit a bit misleading in representation. It's you guys are triggered by the staircase plot, blindly assuming without further checking (simple reading would have done the job) that the authors are claiming that this is were the actual waveform... which they didn't.
Quoting myself:
"I agree their presentation style is not optimal, for the sample value display they should have used
pin plots (not connecting the dots) rather than
bins one sample wide. But their meaning is explained fully correct:
"This diagram shows how an analogue sound wave can be represented with 24-bit 176,400 samples per second PCM encoding." (
Underline mine).
That's what sample values do, they
represent the voltage at the (infinitely short, theoretically) point in time the snapshot was made."
EDIT: As for the "unknown" thing, that isn't correct either, the analog waveform between sample points is known when proper sinc() filtering was used in the analog-to-digital conversion and thus can faithfully be reconstructed within the system bandwidth.
EDIT2: "Therefore we cannot use staircases to represent digital audio samples." Again: the staircase plot is a perfectly valid graphic representation of a digital sample stream. It does not represent the corresponding proper analog waveform, though.