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  1. S

    Alternative method for measuring distortion

    Exactly, adding randomness decreases information, not increases it.
  2. S

    Alternative method for measuring distortion

    If you add more noise the entropy will increase more; if you add a lot of noise the entropy will increase even more; at some high level of entropy the original signal will disappear completely. Entropy and information are reciprocal.
  3. S

    Alternative method for measuring distortion

    For sure, linearization is mathematical, but its use in audio is determined by psychoacoustics.
  4. S

    Alternative method for measuring distortion

    They are from CDs without change. As is.
  5. S

    Alternative method for measuring distortion

    For sure, and is not required in another ones.
  6. S

    Alternative method for measuring distortion

    Self-dither does not require linearization of quantizer. Whether the signal is self-dithered or not can not be determined by math, only by ear. So, the necessity of linearization is determined by ear, not by math.
  7. S

    Alternative method for measuring distortion

    ... and increases the quantization noise.
  8. S

    Alternative method for measuring distortion

    The information you are talking about is relevant only in the context of hearing. Linearization is not the main goal/necessity, it is just a means for achieving the main goal - to reduce the annoyance of granular noise of quantization.
  9. S

    Alternative method for measuring distortion

    It is just a thought experiment helping to understand the difference between engineering/math/syntactic and semantic levels of audio information.
  10. S

    Alternative method for measuring distortion

    In various fields of application dither can benefit to various purposes; I'm talking about benefits of dither in audio, where such benefits determined by psychoacoustics.
  11. S

    Alternative method for measuring distortion

    yes, this is another area where dithering is beneficial, and also those benefits are due to features of human perception.
  12. S

    Alternative method for measuring distortion

    No doubt, it is beneficial for hearing, not for math.
  13. S

    Alternative method for measuring distortion

    I would add - the loss of information, which is important for hearing. In other areas such information can be unimportant.
  14. S

    Alternative method for measuring distortion

    At this stage/level of the discussion such “general” arguments are not enough. Please, elaborate - what exact premise you mean, why is it incorrect and provide the correct one. Here I will show how linearizion of quantizer by means of dithering increase resulting quantization error. It is easy...
  15. S

    Alternative method for measuring distortion

    Linearization of quantizer by dithering results in increase of quantization error (SQNR). We need some reason for such increase. The reason is in psychoacoustics - increased error is less audible and more pleasant for hearing.
  16. S

    Alternative method for measuring distortion

    I would mostly agree here. The applied math can not be used in this case, because we don't know the application area of the signal. And the best strategy for quantizing unknown signal is rounding as it provides the best Signal-to-Quantization-Noise Ratio. There are several other quantizing...
  17. S

    Alternative method for measuring distortion

    Yes, this is in more details.
  18. S

    Alternative method for measuring distortion

    Agree. This really doesn't matter. That is why I added: "I can expect that this looks unusual and understand why you say "dithering of 16bit signal" in this case. Not important". Meaning that "dithering of 16bit signal" is also correct and explained why I said "dithering of 32bit signal". Yes...
  19. S

    Alternative method for measuring distortion

    Everything is math and engineering, even psychoacoustics is full of math. But I'm talking here about different levels of information - engineering and semantic (you pointed to the appropriate article by Warren Weaver above). In order to understand better the difference between those levels I...
  20. S

    Alternative method for measuring distortion

    Considering that: - the noise is added before quantization (to 32bit signal) - dithering is used not only in combination with quantization (not in audio) I prefer to say "dithering of 32bit signal" just because the noise is added to it. I can expect that this looks unusual and understand why...
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