stv014
Headphoneus Supremus
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- Jul 17, 2011
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Have you read the paper Don Hills linked to above? The paper looks like it goes to great lengths to relate the thresholds of human detection to the noise inherent in PCM audio.
The paper uses 120 dB SPL as the reference (0 dBFS) level, which is probably quite a bit (>= 10 dB) higher than it was in your test, and the "noise inherent in PCM audio" was assumed to be simple triangular PDF dither, that produces the most audible noise. For comparison, here is a frequency analysis of your Audacity test sample (green), the simple white spectrum +/-1 LSB TPDF dither (blue), and a slightly better "shaped" TPDF dither (red) where the triangular noise is generated by differentiating uniform distribution white noise:
So, to make the graphs in the PDF file relevant, lower the 16-bit noise levels by at least 10 dB first (<=110 vs. 120 dB SPL), then further adjust them by the difference relative to tpdf.wav above (for example, 15 dB lower up to about 5 kHz). As far as I can see, that moves all the noise under the threshold. Although non-flat transducer response, like a large treble peak under 10 kHz, could change that.
In any case, this type of "crank up the volume and listen to the noise floor in absolute silence" test is not really representative of actual music listening, similarly to another paper that "proves" the audibility of sub-nanosecond levels of jitter by comparing the levels of jitter products from 120 dB SPL ultrasonic signals under worst case conditions against the absolute threshold of hearing. Even the infamous Meyer and Moran paper that is frequently cited as evidence of Red Book transparency acknowledges that simply listening to the noise floor at very high volume with no music playing can reveal the quantization noise that would otherwise be masked.