Comment on “Human Time-Frequency Acuity Beats the Fourier Uncertainty Principle”
نویسندگان
چکیده
منابع مشابه
Human time-frequency acuity beats the Fourier uncertainty principle.
The time-frequency uncertainty principle states that the product of the temporal and frequency extents of a signal cannot be smaller than 1/(4 π). We study human ability to simultaneously judge the frequency and the timing of a sound. Our subjects often exceeded the uncertainty limit, sometimes by more than tenfold, mostly through remarkable timing acuity. Our results establish a lower bound fo...
متن کاملComment on "Human time-frequency acuity beats the Fourier uncertainty principle".
it was claimed that human hearing can beat the Fourier uncertainty principle. In this Comment, we demonstrate that the experiment designed and implemented in the original article was ill-chosen to test Fourier uncertainty in human hearing. The Gabor limit [1], ∆t∆f ≥ 1 4π , (1) refers to the lower bound on the product of the standard deviations (STD) in time (∆t) and frequency (∆f) of an audio ...
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This paper will explore the heuristic principle that a function on the line and its Fourier transform cannot both be concentrated on small sets. We begin with the basic properties of the Fourier transform and show that a function and its Fourier transform cannot both have compact support. From there we prove the Fourier inversion theorem and use this to prove the classical uncertainty principle...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2015
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.114.069401