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Re: Human hearing beats the Fourier uncertainty principle: Research
Indeed this relates to a discussion that we had 9 years ago,
http://www.auditory.org/mhonarc/2004/msg00145.html
and that formed the basis of my old web page on beating the
frequency-time uncertainty principle,
http://www.seeingwithsound.com/freqtime.htm
Best regards,
Peter Meijer
Seeing with Sound - The vOICe
http://www.seeingwithsound.com
> Date: Sun, 17 Feb 2013 07:43:35 +0000
> From: "Beerends, J.G. (John)" <john.beerends@xxxxxx>
> To: AUDITORY@xxxxxxxxxxxxxxx
> Subject: Re: Human hearing beats the Fourier uncertainty principle: Research
>
> For discrimination the uncertainty limit does not exist, one can build
discriminator devices that go below the uncertainty limit in both the time and
frequency domain, the uncertainty limit is only a measure for the spread (Delta)
in both domains (DfDt>1), it is not a limit to what extent they can be
discriminated. One can also build a device that measures the frequency of a sine
wave with an accuracy below the uncertainty limit by exploiting a-priori
knowledge, i.e. if I know that the signal I am measuring is a short cut out of
an infinite duration sine wave of a certain amplitude I can measure the
frequency as accurate as I want.
>
> John Beerends
>
>
>
> -----Original Message-----
> From: AUDITORY - Research in Auditory Perception
[mailto:AUDITORY@xxxxxxxxxxxxxxx] On Behalf Of Kevin Austin
> Sent: Saturday, February 16, 2013 5:07 PM
> To: AUDITORY@xxxxxxxxxxxxxxx
> Subject: Human hearing beats the Fourier uncertainty principle: Research
>
> Comments?
>
>
>>> http://phys.org/news/2013-02-human-fourier-uncertainty-principle.html
>>>
>>>
>>> (Phys.org)-For the first time, physicists have found that humans can
discriminate a sound's frequency (related to a note's pitch) and timing (whether
a note comes before or after another note) more than 10 times better than the
limit imposed by the Fourier uncertainty principle. Not surprisingly, some of
the subjects with the best listening precision were musicians, but even
non-musicians could exceed the uncertainty limit. The results rule out the
majority of auditory processing brain algorithms that have been proposed, since
only a few models can match this impressive human performance.
>>>
>>> Read more at:
http://phys.org/news/2013-02-human-fourier-uncertainty-principle.html#jCp
>
>
> Thanks
>
> Kevin
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