JustAnandaDourEyedDude
Addicted to Fun and Learning
As you agree, we can predict (from the threshold of audibility limits plot, the first figure that Amir posted in Post #773) that, signal-wise, the distortion artifacts in the D900's output voltage seen in the amplitude-versus-frequency plots (in Post #784) would not be audible to any human. The digital input of perfect sine wave/s is of course a stream of discrete rational numbers input at the sampling rate through the USB port of the DAC. The analog output of the DAC as shown in the plots is a well-nigh perfect sine wave or waves (pure tone or tones). Based on the threshold of audibility plot, for simplicity Amir picks -115 dB absolute as a flat threshold guaranteeing inaudibilty regardless of frequency. The distortion artifacts would lie below that threshold for any normal listening volume levels of music we would use.Based on these tests alone are we making the conclusion that, for a typical human listener, the output of this system is indistinguishable from its input for any audio signal?
This is the part I need help with.
To draw a conclusion for "any audio signal", we would need a multitone measurement (such as seen in Post #784), wherein the input tone frequencies span the audio bandwidth sufficiently well (and the instantaneous amplitude never exceeds 0dBFS). Rather, we would need to know the SINAD for the multitone test (which the AP analyzer can calculate), instead of just eyeballing the plot. If the SINAD turns out to be 115 or greater, then we know the deviation from the digital multitone signal should not be audible. This shows that the output voltage varies linearly with the input signal (very closely within the allowed range) and that the output frequencies track the input frequencies (very closely within the audio band). From this linearity, we infer that the mathematical equivalence of an allowable audio signal to a sum of sine waves (of differing frequencies and amplitudes and starting phases) is mimicked closely enough by the DAC, such that the deviations would be inaudible. Therefore, the output analog signal is predicted to be a well-nigh perfect representation corresponding to any digital input audio or music signal (volume-limited and within the bandwidth of the DAC). So the answer to your above question is yes, the conclusion is based on the electronic tests alone (with the -115 dB absolute criterion).
This is my layperson's understanding of how a good multitone test result may permit us to infer that for allowable audio signal inputs, the errors in the DAC's output would be inaudible to humans. Some expert ASR members would hopefully correct me if I have gotten it wrong, or if we need additional tests such as a jitter test. I assumed an output filter with a quick roll-off above 40 kHz sample rate.
There is no ABX backing going on in Amir's testing. He tests DACs by electronic measurements using the AP analyzer. The only blind listening tests involved are ones performed by other researchers, such as the original study by Fletcher and Munson, updated a couple of times later by other researchers. These tests are more accurate and involved versions of the sort of hearing test your ENT specialist might do to check your hearing, and I guess only pure tones are involved. These blind listening tests are correlated with measurement thresholding only insomuch as Amir got the -115 dB absolute inaudibility criterion off of the threshold of audibility curve in one such study.I had previously thought that we made this conclusion based on the fact that blind listening tests correlate well with measurement thresholding, but it sounds like you may be saying the measurements alone are sufficient without the ABX backing. Am I following correctly?
Amir typically does a separate listening test of the DAC, with music samples he is familiar with (not pure sine waves), and using a known good amp and speakers; there is no quantitative measurement going on in this listening. This listening test is done just as a sanity check, to make sure he hears nothing odd that would warrant further investigation.
Last edited: