Sine wave inputs achieve 1.76 dB better quantization SNR than uniform signals

Evidence

In either case, the quantization error is uniform over the frequency range in the ideal case. … These maximum signal-to-noise calculations are assuming that both the signal and noise have a signal probability distribution that is uniform; that is, all signal levels within the range of the quantizer are equally possible. If one assumes a sine wave input at maximum level, then the maximum signal-to-noise ratio is improved by +1.76 dB because a sine wave spends more time at higher levels. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2658

Categorization

• DEFINE: Clarifies the distribution assumption behind SNR figures and the sine-wave correction.
• corroborated: 2 independent passages support this claim — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2658
• XREF: connects to: Quantization always injects noise that lowers audio signal-to-noise ratio — David Howard, Jamie Angus, coustics and Psychoacoustics, 2651

Broader Connections

• Quantization always injects noise that lowers audio signal-to-noise ratio #expands (0.80) — David Howard, Jamie Angus, coustics and Psychoacoustics, 2651