Vicki,

that is rather incredible to me if true, that dither is detectable as a
coherent signal but i suppose that the dither that i was referring to is
*necessarily* a part of the program material signal because it is the
dither that has already been added during the recording chain and thus not
a separate coherent signal

https://ask.audio/articles/the-how-and-why-of-dithering-in-pro-tools

On Mon, Jan 10, 2022 at 9:15 AM vicki melchior <[email protected]>
wrote:

> Eric, I’m not sure I get the gist of your question, but “hearing into the
> noise” refers to the fact that coherent signals can be detected at some
> level (around 10-15 dB) below the RMS level of the noise (whether the noise
> is dither or part of the signal).  The mathematical analogy for this is
> coherent/noncoherent gain; the hearing system integrates both noise and
> signal over the bandwidth of the particular cochlear filter.  Noise
> integrates non-coherently while signal integrates coherently, leaving a net
> gain in SNR.   This is relevant for a number of reasons.  First, you can
> (maybe) detect actual signal at those depths below noise.  But second, you
> can also hear distortion lying well below the noise floor if it is
> relatively coherent, especially the peaks associated with truncation
> distortion when dither has been omitted.   These arguments are highly
> relevant to determining the bit depth needed to convey program material,
> and that in turn, is a function of the dynamic range audible to humans
> along with an understanding of the noise sources present in the given
> system.  So it is not about hearing the noise, but rather hearing signal
> below the noise floor.
>
>
> On Jan 9, 2022, at 8:10 PM, Zhiguang Zhang <[email protected]> wrote:
>
> not sure if this point is important, but the dither that is added before
> you hear the program material being reproduced isn't actually supposed to
> be 'heard' - so this argument doesn't appear to make much sense in my
> mind.  engineers might hear the dither when they're familiar with the
> studio that they work in, but past that, i'm not sure i get the point of
> discussing the practical limits of hearing something added which, for all
> intents and purposes, is hidden.  it's almost like you're trying to reverse
> engineer what recording interface an audio engineer was using
>
> On Sun, Jan 9, 2022 at 5:48 PM Brian Willoughby <[email protected]>
> wrote:
>
>> Thank you for these titles. I've already found them in the AES library.
>>
>> Brian Willoughby
>>
>>
>> On Jan 9, 2022, at 13:43, vicki melchior <[email protected]> wrote:
>> > As far as measurements of how far “into the noise” we can hear, there
>> aren’t a lot of good published numbers that I know of (having reviewed the
>> subject a couple of years ago), but Bob Stuart and Peter Craven argue
>> dynamic range and, to a certain extent, audibility below the noise floor in
>> a couple of papers published in JAES in 2019.  They are based on
>> psychoacoustic arguments as well as listening test results, the latter as
>> part of their studio and lab work on MQA.  If interested, their (open
>> access) papers are in the AES e-lib, “The Gentle Art of Dithering” and “A
>> Hierarchical Approach for Audio Capture, Archive and Distribution”.
>>
>
>

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