Ground pounding naysaying engineering types are handed their ass, in spades. the kind that says if it can't be measured, that it does not exist. That if the 'law' says it can't exist, that it does not. That they fail to understand that there are no laws, only theory. That they push engineering principles into being some sort of inviolate religious context.
That they deny, vehemently so... that hearing can beat or trump measurement principles and associated theory. Over and over. Relentlessly. viciously.
When will they learn.
But they don't, you see. They run from the discussion of their logic faults and come back to attack thinking people again and again. The worst kind of fault. The kind that keeps repeating itself, from lack of mental correction, the lack of recognition in fault, and then change... of the self. That such circular expression is the somewhere around the level of a pouting child.
No wonder that those of us who trust our hearing are so drained and exasperated. We are wrestling with stubborn children, who refuse to even begin to understand the fault in their logic function and basic mental position.
Here's the ass-handing for today. And I promise, it's a
good. solid. beating.
Might keep them quiet for a few days. One can only hope:
Human hearing beats the Fourier uncertainty principle
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.
The researchers, Jacob Oppenheim and Marcelo Magnasco at Rockefeller University in New York, have published their study on the first direct test of the Fourier uncertainty principle in human hearing in a recent issue of Physical Review Letters. The Fourier uncertainty principle states that a time-frequency tradeoff exists for sound signals, so that the shorter the duration of a sound, the larger the spread of different types of frequencies is required to represent the sound. Conversely, sounds with tight clusters of frequencies must have longer durations. The uncertainty principle limits the precision of the simultaneous measurement of the duration and frequency of a sound. To investigate human hearing in this context, the researchers turned to psychophysics, an area of study that uses various techniques to reveal how physical stimuli affect human sensation. Using physics, these techniques can establish tight bounds on the performance of the senses.
http://phys.org/news/2013-02-human-fourier-uncertainty-principle.html