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Happy anniversary! Today marks year number 13 since you first became a Sifter and the community is better for having you. Thanks for your contributions!

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bmacs27 said:

I'm still worried about phase.  The argument is that he can represent any phase he wants.  I challenge him to represent different phases of his Nyquist frequency without the reconstruction losing power.  He keeps saying "band limited", which I don't believe to be exactly true.  I agree, the ear can only detect powers at frequencies below 22.1k, I'm not convinced it's ability to detect phase shifts is limited in the way you would expect with a digital signal with a cutoff at that frequency.  For instance, the human ear can localize an impulse with accuracy down to about 10 microseconds.  I can't see how a Dirac function can be localized that accurately by a sampled wave unless the system acted like a 100K sampled system.  The latter, IMHO, is supported by the neuro-anatomy.  There are different mechanisms for identifying pitch and onset.  The quote-unquote Calyx of Held neurons carry the phase information, and are designed to fire with astonishing precision.  Much more temporal precision than would be predicted from the "nyquist frequency" of the place coding subset of 8th nerve ganglia.  I understand that this is what he was trying to address with his bit at the end, but he kept insisting on "band limited" inputs.  Pressure waves aren't band limited dodge-rammit.

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